{"id":29472,"date":"2024-11-30T11:17:01","date_gmt":"2024-11-30T07:47:01","guid":{"rendered":"https:\/\/caeassistant.com\/?p=29472"},"modified":"2026-06-07T12:42:35","modified_gmt":"2026-06-07T09:12:35","slug":"%e6%89%a9%e5%b1%95%e6%9c%89%e9%99%90%e5%85%83%e6%b3%95-xfem-abaqus","status":"publish","type":"post","link":"https:\/\/dev.caeassistant.com\/zh\/%e5%8d%9a%e5%ae%a2\/%e6%89%a9%e5%b1%95%e6%9c%89%e9%99%90%e5%85%83%e6%b3%95-xfem-abaqus\/","title":{"rendered":"\u963f\u5df4\u514b\u65af\u4e2d\u7684\u6269\u5c55\u6709\u9650\u5143\u65b9\u6cd5\u6559\u7a0b"},"content":{"rendered":"<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u5728\u590d\u6742\u7684\u5de5\u7a0b\u9886\u57df\uff0c\u6269\u5c55\u6709\u9650\u5143\u6cd5 (XFEM) \u5df2\u6210\u4e3a\u6a21\u62df\u6750\u6599\u88c2\u7eb9\u5f62\u6210\u548c\u6269\u5c55\u7b49\u95ee\u9898\u7684\u5f3a\u5927\u5de5\u5177\uff0c\u800c\u65e0\u9700\u8fdb\u884c\u7cbe\u7ec6\u7684\u7f51\u683c\u5212\u5206\u3002\u4e0e\u4f20\u7edf\u7684\u6709\u9650\u5143\u6cd5 (FEM) \u4e0d\u540c\uff0cXFEM \u901a\u8fc7\u5728\u6807\u51c6\u6709\u9650\u5143\u65b9\u6cd5\u4e2d\u6dfb\u52a0\u72ec\u7279\u7684\u529f\u80fd\uff0c\u5141\u8bb8\u5bf9\u6750\u6599\u5185\u90e8\u7684\u4e0d\u8fde\u7eed\u6027\uff08\u4f8b\u5982\u88c2\u7eb9\uff09\u8fdb\u884c\u5efa\u6a21\u3002\u8fd9\u4e00\u4f18\u52bf\u4f7f\u5f97 XFEM \u5728\u7814\u7a76\u8de8\u591a\u4e2a\u5c3a\u5ea6\u7684\u590d\u6742\u6750\u6599\u5931\u6548\u65b9\u9762\u5c24\u4e3a\u6709\u7528\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">XFEM\u4e2d\u7684\u635f\u4f24\u5206\u6790\u4f9d\u8d56\u4e8e\u80fd\u591f\u9ad8\u6548\u6355\u6349\u88c2\u7eb9\u5468\u56f4\u4e0d\u8fde\u7eed\u6027\u548c\u5e94\u529b\u5206\u5e03\u7684\u65b9\u6cd5\u3002\u8fd9\u5305\u62ec\u7cbe\u786e\u8868\u793a\u88c2\u7eb9\u8868\u9762\u7684\u589e\u5f3a\u51fd\u6570\u548c\u6a21\u62df\u6750\u6599\u5728\u5e94\u529b\u4f5c\u7528\u4e0b\u884c\u4e3a\u7684\u5185\u805a\u5b9a\u5f8b\u3002\u5f53\u4e0e\u5355\u4f4d\u5206\u89e3\u6cd5\u7ed3\u5408\u4f7f\u7528\u65f6\uff0cXFEM\u6210\u4e3a\u6355\u6349\u591a\u76f8\u6750\u6599\u590d\u6742\u884c\u4e3a\u7684\u7a33\u5065\u89e3\u51b3\u65b9\u6848\u3002\u5bf9\u4e8e\u5de5\u7a0b\u5e08\u548c\u7814\u7a76\u4eba\u5458\u800c\u8a00\uff0c\u4f7f\u7528Abaqus\u7b49\u8f6f\u4ef6\u8fdb\u884c\u4eff\u771f\u53ef\u4ee5\u7cbe\u786e\u63a7\u5236\u8fd9\u4e9b\u65b9\u6cd5\uff0c\u4ece\u800c\u80fd\u591f\u5728\u5355\u4e2a\u6a21\u578b\u4e2d\u6df1\u5165\u5206\u6790\u88c2\u7eb9\u3001\u6750\u6599\u754c\u9762\u4ee5\u53ca\u591a\u88c2\u7eb9\u76f8\u4e92\u4f5c\u7528\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u672c\u535a\u5ba2\u8be6\u7ec6\u63a2\u8ba8\u4e86\u6269\u5c55\u6709\u9650\u5143\u6cd5 (XFEM) \u7684\u6838\u5fc3\u6982\u5ff5\u548c\u5e94\u7528\uff0c\u91cd\u70b9\u5173\u6ce8\u589e\u5f3a\u51fd\u6570\u3001\u754c\u9762\u5efa\u6a21\u548c\u5185\u805a\u88c2\u7eb9\u6a21\u62df\u3002\u60a8\u5c06\u4e86\u89e3\u6709\u9650\u5143\u6cd5 (FEM) \u548c\u6269\u5c55\u6709\u9650\u5143\u6cd5 (XFEM) \u7684\u533a\u522b\u3001\u589e\u5f3a\u51fd\u6570\u80cc\u540e\u7684\u529b\u5b66\u539f\u7406\uff0c\u4ee5\u53ca\u5982\u4f55\u5728 Abaqus \u4e2d\u5bf9\u5177\u6709\u591a\u88c2\u7eb9\u7684\u590d\u6742\u6750\u6599\u8fdb\u884c\u5efa\u6a21\u3002\u6587\u4e2d\u63d0\u4f9b\u4e86\u5728 Abaqus \u4e2d\u8fdb\u884c\u4e8c\u7ef4\u548c\u4e09\u7ef4\u88c2\u7eb9\u6269\u5c55\u6a21\u62df\u7684\u9010\u6b65\u793a\u4f8b\uff0c\u4e3a\u9488\u5bf9\u5404\u79cd\u5de5\u7a0b\u6311\u6218\u8bbe\u7f6e\u7cbe\u786e\u7684 XFEM Abaqus \u6a21\u62df\u63d0\u4f9b\u4e86\u5b9d\u8d35\u7684\u89c1\u89e3\u3002.<\/span><\/p>\n<p><span style=\"font-size: 14pt;\">\u4e0b\u9762\u5217\u51fa\u7684\u6559\u7a0b\u8f6f\u4ef6\u5305\u662f\u5b9e\u73b0\u4e86 XFEM Abaqus \u65b9\u6cd5\u7684\u8f6f\u4ef6\u5305\uff0c\u8fd9\u4e9b\u8f6f\u4ef6\u5305\u53ef\u7528\u4e8e\u65ad\u88c2\u548c\u88c2\u7eb9\u6269\u5c55\u5206\u6790\u7b49\u9886\u57df\u3002.<\/span><\/p>\n<h2><span style=\"color: #ff6600;\">FEM vs. X-FEM: Choosing the Right Approach for Multi-Scale Crack Failure Models<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u5bf9\u4e8e\u591a\u5c3a\u5ea6\u5931\u6548\u6a21\u578b\uff0c\u7279\u522b\u662f\u6d89\u53ca\u590d\u6742\u6750\u6599\u884c\u4e3a\u7684\u6a21\u578b\uff0c\u6269\u5c55\u6709\u9650\u5143\u6cd5 (XFEM) \u901a\u5e38\u4f18\u4e8e\u4f20\u7edf\u7684\u6709\u9650\u5143\u6cd5 (FEM)\u3002XFEM \u80fd\u591f\u6a21\u62df\u88c2\u7eb9\u6216\u7a7a\u9699\u7b49\u4e0d\u8fde\u7eed\u6027\uff0c\u800c\u65e0\u9700\u5728\u6bcf\u4e2a\u5931\u6548\u4f4d\u7f6e\u8fdb\u884c\u7f51\u683c\u7ec6\u5316\uff0c\u56e0\u6b64\u975e\u5e38\u9002\u5408\u5904\u7406\u7cbe\u7ec6\u5c3a\u5ea6\u7ec6\u8282\u4e0e\u5b8f\u89c2\u7ed3\u6784\u884c\u4e3a\u76f8\u4e92\u4f5c\u7528\u7684\u591a\u5c3a\u5ea6\u95ee\u9898\u3002\u5728\u591a\u5c3a\u5ea6\u5931\u6548\u4e2d\uff0c\u88c2\u7eb9\u840c\u751f\u548c\u6269\u5c55\u3001\u5851\u6027\u53d8\u5f62\u4ee5\u53ca\u5c40\u90e8\u635f\u4f24\u7b49\u73b0\u8c61\u9700\u8981\u5728\u4e0d\u540c\u7684\u5c3a\u5ea6\u4e0a\u8fdb\u884c\u5efa\u6a21\uff0c\u4ece\u5fae\u89c2\u6750\u6599\u7f3a\u9677\u5230\u5b8f\u89c2\u7ed3\u6784\u5931\u6548\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u56e0\u6b64\uff0c\u68c0\u9a8c\u548c\u6a21\u62df\u6269\u5c55\u6709\u9650\u5143\u6cd5 (X-FEM) \u662f\u6a21\u62df\u6b64\u7c7b\u95ee\u9898\u7684\u5fc5\u8981\u6761\u4ef6\u4e4b\u4e00\u3002\u672c\u6587\u65e8\u5728\u7b80\u8981\u4ecb\u7ecd\u8be5\u7406\u8bba\u53ca\u5176\u5728 Abaqus \u4e2d\u7684\u5e94\u7528\uff08Abaqus XFEM\uff09\u3002.<\/span><\/p>\n<h2 style=\"text-align: justify;\"><span style=\"color: #ff6600;\">What is XFEM?<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u6211\u4eec\u5148\u6765\u5b9a\u4e49\u4e00\u4e0bX-FEM\u3002X-FEM\u662f\u6269\u5c55\u6709\u9650\u5143\u65b9\u6cd5\u7684\u7f29\u5199\u3002\u201c\u6269\u5c55\u201d\u6307\u7684\u662f\u5b83\u5bf9\u4f20\u7edf\u6709\u9650\u5143\u65b9\u6cd5\u7684\u6539\u8fdb\uff0c\u5c24\u5176\u662f\u5728\u6a21\u62df\u88c2\u7eb9\u6269\u5c55\u65b9\u9762\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u90a3\u4e48\uff0c\u4e3a\u4ec0\u4e48\u8981\u6269\u5c55\u4f20\u7edf\u65b9\u6cd5\u5462\uff1f\u88c2\u7eb9\u4f1a\u5bfc\u81f4\u6709\u9650\u5143\u5206\u6790\u4e2d\u7528\u4e8e\u8fd1\u4f3c\u4f4d\u79fb\u3001\u6e29\u5ea6\u548c\u901a\u91cf\u7b49\u53c2\u6570\u7684\u51fd\u6570\u51fa\u73b0\u4e0d\u8fde\u7eed\u6027\u3002\u8fd9\u5c31\u9700\u8981\u4e00\u79cd\u6539\u8fdb\u7684\u65b9\u6cd5\u3002\u6269\u5c55\u6709\u9650\u5143\u6cd5\uff08X-FEM\uff09\u5c24\u5176\u9002\u7528\u4e8e\u6a21\u62df\u88c2\u7eb9\u548c\u4f4d\u9519\uff0c\u56e0\u4e3a\u5b83\u5229\u7528\u5355\u4f4d\u5206\u89e3\uff08PU\uff09\u65b9\u6cd5\u79ef\u5206\u4e86\u8fd1\u573a\u89e3\uff0c\u5373\u4f7f\u5728\u7c97\u7f51\u683c\u4e0b\u4e5f\u80fd\u63d0\u9ad8\u7cbe\u5ea6\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">X-FEM \u5728\u7814\u7a76\u7eb3\u7c73\u529b\u5b66\u3001\u7a7a\u9699\u751f\u957f\u548c\u754c\u9762\u884c\u4e3a\u7b49\u5c0f\u5c3a\u5ea6\u73b0\u8c61\u65b9\u9762\u5177\u6709\u91cd\u8981\u4ef7\u503c\u3002\u5b83\u6781\u5927\u5730\u63d0\u9ad8\u4e86\u6709\u9650\u5143\u6cd5\u89e3\u51b3\u6750\u6599\u76f8\u5173\u95ee\u9898\u7684\u80fd\u529b\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">X-FEM \u7684\u4e00\u4e9b\u4e3b\u8981\u5e94\u7528\u5305\u62ec\uff1a<\/span><\/p>\n<ul style=\"text-align: justify;\">\n<li><span style=\"font-size: 14pt;\">\u7ebf\u6027\u5f39\u6027 <span style=\"color: #333333;\">\u65ad\u88c2\u529b\u5b66<\/span> \uff08LEFM\uff09<\/span><\/li>\n<li><span style=\"font-size: 14pt;\"><span style=\"color: #000000;\">\u51dd\u805a\u529b<\/span> \u65ad\u88c2\u529b\u5b66\uff08<a href=\"https:\/\/caeassistant.com\/blog\/cohesive-elements-behavior-abaqus-video\/\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #0000ff;\">Abaqus \u5185\u805a\u884c\u4e3a<\/span><\/a>)<\/span><\/li>\n<li><span style=\"font-size: 14pt;\"><a href=\"https:\/\/caeassistant.com\/blog\/composite-analysis\/\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #0000ff;\">\u590d\u5408\u6750\u6599<\/span><\/a> \u548c\u4e0d\u5747\u5300\u6027<\/span><\/li>\n<li><span style=\"font-size: 14pt;\">\u53ef\u5851\u6027\uff08<a href=\"https:\/\/caeassistant.com\/blog\/abaqus-plasticity-model-video\/\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #0000ff;\">Abaqus \u5851\u6027<\/span><\/a>\uff09\u3001\u635f\u5bb3\u548c <a href=\"https:\/\/caeassistant.com\/blog\/abaqus-fatigue-analysis-video\/\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #0000ff;\">\u75b2\u52b3\u5206\u6790<\/span><\/a><\/span><\/li>\n<li><span style=\"font-size: 14pt;\">\u526a\u5207\u5e26\u5c40\u90e8\u5316<\/span><\/li>\n<li><span style=\"font-size: 14pt;\">\u6d41\u56fa\u8026\u5408<\/span><\/li>\n<li><span style=\"font-size: 14pt;\">\u88c2\u7f1d\u4e2d\u7684\u6d41\u4f53\u6d41\u52a8 <a href=\"https:\/\/caeassistant.com\/blog\/porous-media-flow\/\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #0000ff;\">\u591a\u5b54\u4ecb\u8d28<\/span><\/a><\/span><\/li>\n<li><span style=\"font-size: 14pt;\">\u666e\u901a\u6d41\u4f53\u529b\u5b66<\/span><\/li>\n<li><span style=\"font-size: 14pt;\">\u76f8\u53d8\u4e0e\u51dd\u56fa<\/span><\/li>\n<li><span style=\"font-size: 14pt;\">\u70ed\u5b66\u548c\u70ed\u673a\u68b0\u95ee\u9898<\/span><\/li>\n<li><span style=\"font-size: 14pt;\">\u76d8\u5b50\u548c\u8d1d\u58f3<\/span><\/li>\n<li><span style=\"font-size: 14pt;\">\u8054\u7cfb\u95ee\u9898<\/span><\/li>\n<li><span style=\"font-size: 14pt;\">\u62d3\u6251\u4f18\u5316<\/span><\/li>\n<li><span style=\"font-size: 14pt;\">\u538b\u7535\u548c\u78c1\u7535\u5f39\u6027\u95ee\u9898<\/span><\/li>\n<li><span style=\"font-size: 14pt;\">\u591a\u5c3a\u5ea6\u5efa\u6a21<\/span><\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">X-FEM \u5f00\u8f9f\u4e86\u65b0\u7684\u53ef\u80fd\u6027\uff0c\u4f7f FEM \u5728\u5e94\u5bf9\u5404\u79cd\u5de5\u7a0b\u6311\u6218\u65b9\u9762\u66f4\u52a0\u6709\u6548\u3002.<\/span><\/p>\n<p><span style=\"font-size: 14pt;\">\u6ce8\uff1a\u5982\u679c\u60a8\u60f3\u4e86\u89e3\u66f4\u591a\u5173\u4e8e\u65ad\u88c2\u548c\u65ad\u88c2\u5206\u6790\u7684\u77e5\u8bc6\uff0c\u53ef\u4ee5\u67e5\u770b\u6211\u4eec\u7684\u5b8c\u6574\u6307\u5357\uff1a\u201c<span style=\"color: #0000ff;\">Abaqus\u7834\u89e3\u7248\u548c <a style=\"color: #0000ff;\" href=\"https:\/\/caeassistant.com\/fracture_damage\/\" target=\"_blank\" rel=\"noopener\">\u65ad\u88c2\u5206\u6790<\/a>\u539f\u7406\u3001\u5e94\u7528\u548c\u65b9\u6cd5<\/span>\u201c<\/span><\/p>\n<table style=\"width: 100%; border-collapse: collapse; background-color: #dbdbdb;\">\n<tbody>\n<tr>\n<td style=\"width: 100%; text-align: justify;\"><span style=\"font-size: 14pt;\">\u6d4f\u89c8\u6211\u4eec\u5185\u5bb9\u5168\u9762\u7684 Abaqus \u6559\u7a0b\u9875\u9762\uff0c\u5176\u4e2d\u5305\u542b\u514d\u8d39\u7684 PDF \u6307\u5357\u548c\u9002\u5408\u6240\u6709\u6280\u80fd\u6c34\u5e73\u7684\u8be6\u7ec6\u89c6\u9891\u3002\u63a2\u7d22\u514d\u8d39\u548c\u4ed8\u8d39\u5957\u9910\uff0c\u4ee5\u53ca\u9ad8\u6548\u638c\u63e1 Abaqus \u7684\u5fc5\u5907\u4fe1\u606f\u3002\u7acb\u5373\u5f00\u542f\u60a8\u7684 Abaqus \u5b66\u4e60\u4e4b\u65c5\uff01 <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/caeassistant.com\/free-abaqus-tutorial-training-video\/\" target=\"_blank\" rel=\"noopener\">Abaqus\u6559\u7a0b<\/a><\/span> \u73b0\u5728\uff01<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2 style=\"text-align: justify;\"><span style=\"color: #ff6600;\">What is the difference between FEM and XFEM?<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u6709\u9650\u5143\u6cd5\uff08FEM\uff09\u662f\u4e00\u79cd\u5f3a\u5927\u7684\u5de5\u5177\uff0c\u7528\u4e8e\u6c42\u89e3\u504f\u5fae\u5206\u65b9\u7a0b\u7684\u8fd1\u4f3c\u89e3\uff0c\u56e0\u6b64\u5728\u8bb8\u591a\u5de5\u7a0b\u5b66\u79d1\u4e2d\u4e0d\u53ef\u6216\u7f3a\u3002\u4ece\u822a\u7a7a\u822a\u5929\u5230\u571f\u6728\u5de5\u7a0b\u3001\u751f\u7269\u529b\u5b66\u548c\u6750\u6599\u79d1\u5b66\uff0c\u6709\u9650\u5143\u6cd5\u6709\u52a9\u4e8e\u5bf9\u7ed3\u6784\u548c\u7cfb\u7edf\u7684\u884c\u4e3a\u8fdb\u884c\u5efa\u6a21\u548c\u9884\u6d4b\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u6709\u9650\u5143\u6cd5\u5e76\u975e\u76f4\u63a5\u6c42\u89e3\u5fae\u5206\u65b9\u7a0b\uff0c\u800c\u662f\u5c06\u5176\u8f6c\u5316\u4e3a\u53d8\u5206\u5f62\u5f0f\uff0c\u4ece\u800c\u5c06\u590d\u6742\u95ee\u9898\u5206\u89e3\u6210\u66f4\u5c0f\u3001\u66f4\u6613\u4e8e\u5904\u7406\u7684\u90e8\u5206\uff0c\u79f0\u4e3a\u5355\u5143\u3002\u8fd9\u4e9b\u5355\u5143\u4ee5\u7f51\u683c\u5f62\u5f0f\u8fde\u63a5\uff0c\u6bcf\u4e2a\u5355\u5143\u90fd\u7531\u5c40\u90e8\u591a\u9879\u5f0f\u8fd1\u4f3c\u8868\u793a\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u6709\u9650\u5143\u6cd5\u7684\u4e00\u5927\u4f18\u52bf\u5728\u4e8e\u5176\u5904\u7406\u590d\u6742\u8fb9\u754c\u6761\u4ef6\u7684\u80fd\u529b\uff0c\u4f46\u5b83\u4e5f\u5b58\u5728\u4e00\u4e9b\u5c40\u9650\u6027\u3002\u4f8b\u5982\uff0c\u5f53\u89e3\u8f83\u4e3a\u5e73\u6ed1\u65f6\uff0c\u8be5\u65b9\u6cd5\u6548\u679c\u6700\u4f73\uff1b\u4f46\u5f53\u5904\u7406\u9661\u5ced\u68af\u5ea6\u3001\u5947\u5f02\u6027\uff08\u5982\u5e94\u529b\u573a\u4e2d\u7684\u5947\u5f02\u6027\uff09\u6216\u4e0d\u8fde\u7eed\u6027\uff08\u5982\u88c2\u7eb9\uff09\u65f6\uff0c\u8be5\u65b9\u6cd5\u7684\u8ba1\u7b97\u91cf\u4f1a\u663e\u8457\u589e\u52a0\uff0c\u7cbe\u5ea6\u4e5f\u4f1a\u964d\u4f4e\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u5f53\u5b58\u5728\u88c2\u7eb9\u65f6\uff0c\u6709\u9650\u5143\u65b9\u6cd5\u901a\u5e38\u9700\u8981\u5728\u88c2\u7eb9\u5c16\u7aef\u9644\u8fd1\u7ec6\u5316\u7f51\u683c\uff0c\u8fd9\u4f1a\u589e\u52a0\u81ea\u7531\u5ea6\uff0c\u5e76\u4e14\u5728\u4e09\u7ef4\u6a21\u578b\u4e2d\u8ba1\u7b97\u91cf\u8f83\u5927\u3002\u6b64\u5916\uff0c\u6a21\u62df\u88c2\u7eb9\u7684\u589e\u91cf\u6269\u5c55\u9700\u8981\u9891\u7e41\u5730\u91cd\u65b0\u5212\u5206\u7f51\u683c\uff0c\u8fd9\u4e0d\u4ec5\u6210\u672c\u9ad8\u6602\uff0c\u800c\u4e14\u4f1a\u5f71\u54cd\u7ed3\u679c\u7684\u7cbe\u5ea6\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u5c3d\u7ba1\u9762\u4e34\u8fd9\u4e9b\u6311\u6218\uff0c\u6709\u9650\u5143\u6cd5\u4ecd\u7136\u662f\u5de5\u7a0b\u9886\u57df\u7684\u57fa\u77f3\uff0c\u5728\u89e3\u51b3\u590d\u6742\u95ee\u9898\u65b9\u9762\u5177\u6709\u65e0\u4e0e\u4f26\u6bd4\u7684\u591a\u529f\u80fd\u6027\u548c\u7cbe\u786e\u6027\u3002\u7136\u800c\uff0c\u4f20\u7edf\u7684\u6709\u9650\u5143\u6cd5\u5728\u89e3\u51b3\u65ad\u88c2\u529b\u5b66\u95ee\u9898\u65b9\u9762\u5df2\u8fbe\u5230\u5176\u5c40\u9650\u6027\u3002.<\/span><\/p>\n<p><img fetchpriority=\"high\" decoding=\"async\" class=\"aligncenter wp-image-29477\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-134729.png\" alt=\"\u6709\u9650\u5143\u6cd5\u548c\u6269\u5c55\u6709\u9650\u5143\u6cd5\u7684\u533a\u522b \" width=\"485\" height=\"395\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-134729.png 647w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-134729-300x244.png 300w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-134729-430x350.png 430w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-134729-62x51.png 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-134729-600x489.png 600w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-134729-150x122.png 150w\" sizes=\"(max-width: 485px) 100vw, 485px\" \/><\/p>\n<p style=\"text-align: center;\">\u56fe 1\uff1aFEM \u548c X-FEM \u7684\u533a\u522b [<a href=\"https:\/\/personal.ems.psu.edu\/~fkd\/courses\/EGEE520\/2018Deliverables\/xfem.pdf\" target=\"_blank\" rel=\"nofollow noopener\"><span style=\"color: #0000ff;\">\u53c2\u8003<\/span><\/a>]<\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u4e3a\u4e86\u514b\u670d\u6709\u9650\u5143\u6cd5\uff08FEM\uff09\u5e26\u6765\u7684\u6311\u6218\uff0c\u4e00\u79cd\u65b0\u7684\u65b9\u6cd5\u5df2\u88ab\u63d0\u51fa\u3002\u6269\u5c55\u6709\u9650\u5143\u6cd5\uff08X-FEM\uff09\u7531Dolbow\u4e8e1999\u5e74\u63d0\u51fa\uff0c\u5b83\u5229\u7528\u5355\u4f4d\u5206\u89e3\u6765\u589e\u5f3a\u6709\u9650\u5143\u8fd1\u4f3c\u7684\u7cbe\u5ea6\uff0c\u4f7f\u5176\u80fd\u591f\u4f7f\u7528\u7279\u6b8a\u51fd\u6570\u3002\u8fd9\u79cd\u65b9\u6cd5\u5141\u8bb8\u6211\u4eec\u4f7f\u7528\u975e\u8fde\u7eed\u51fd\u6570\uff08\u4f8b\u5982Heaviside\u9636\u8dc3\u51fd\u6570\uff09\u6765\u6a21\u62df\u88c2\u7eb9\uff0c\u800c\u65e0\u9700\u663e\u5f0f\u5730\u5bf9\u88c2\u7eb9\u672c\u8eab\u8fdb\u884c\u7f51\u683c\u5212\u5206\uff08\u53c2\u89c1\u56fe1\uff09\u3002.<\/span><\/p>\n<h2><span style=\"color: #ff6600;\">Theory of XFEM<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u6269\u5c55\u6709\u9650\u5143\u6cd5 (XFEM) \u662f\u4e00\u79cd\u5728 2000 \u5e74\u4ee3\u521d\u671f\u5f15\u5165\u7684\u65b0\u578b\u6570\u503c\u6280\u672f\uff0c\u7528\u4e8e\u6a21\u62df\u57df\u4e2d\u7684\u63a5\u5934\u548c\u88c2\u7eb9\uff0c\u800c\u65e0\u9700\u4e0e\u7f51\u683c\u76f8\u7b26\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u8be5\u65b9\u6cd5\u57fa\u4e8e\u5355\u4f4d\u5206\u89e3\u7684\u6982\u5ff5\uff0c\u5b83\u5141\u8bb8\u4f7f\u7528\u9644\u52a0\u51fd\u6570\u201c\u4e30\u5bcc\u201d\u6807\u51c6\u7684\u6709\u9650\u5143\u8fd1\u4f3c\uff0c\u4ece\u800c\u6355\u6349\u5355\u5143\u5185\u90e8\u7684\u4e0d\u8fde\u7eed\u6216\u5947\u5f02\u884c\u4e3a\u3002\u8fd9\u79cd\u589e\u5f3a\u65b9\u6cd5\u5bf9\u4e8e\u88c2\u7eb9\u8def\u5f84\u672a\u9884\u5148\u5b9a\u4e49\u6216\u4e0e\u7f51\u683c\u8fb9\u754c\u4e0d\u5bf9\u9f50\u7684\u95ee\u9898\u5c24\u4e3a\u6709\u7528\uff0c\u4f8b\u5982\u5728\u6a21\u62df\u4efb\u610f\u88c2\u7eb9\u6269\u5c55\u548c\u76f8\u4e92\u4f5c\u7528\u65f6\u3002.<\/span><\/p>\n<p><img decoding=\"async\" class=\"aligncenter wp-image-29480\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-135006.png\" alt=\"X-FEM \u4e2d\u91ca\u653e\u88c2\u7f1d\u7684\u793a\u4f8b\" width=\"356\" height=\"474\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-135006.png 497w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-135006-225x300.png 225w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-135006-369x491.png 369w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-135006-62x83.png 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-135006-150x200.png 150w\" sizes=\"(max-width: 356px) 100vw, 356px\" \/><\/p>\n<p style=\"text-align: center;\">\u56fe 2\uff1aX-FEM \u4e2d\u88c2\u7eb9\u91ca\u653e\u7684\u793a\u4f8b<\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u5728\u672c\u8282\u4e2d\uff0c\u6211\u4eec\u5f88\u9ad8\u5174\u5411\u60a8\u4ecb\u7ecd\u6269\u5c55\u6709\u9650\u5143\u65b9\u6cd5 (X-FEM) \u7684\u7406\u8bba\uff01\u6211\u4eec\u5c06\u9996\u5148\u63a2\u8ba8\u5bcc\u96c6\u51fd\u6570\u7684\u6982\u5ff5\uff0c\u8fd9\u5c06\u6709\u52a9\u4e8e\u6211\u4eec\u7406\u89e3\u6750\u6599\u754c\u9762\u3002\u4e4b\u540e\uff0c\u6211\u4eec\u5c06\u7528\u4e24\u8282\u8bfe\u7684\u65f6\u95f4\u6df1\u5165\u63a2\u8ba8 X-FEM \u6a21\u578b\u4e2d\u7684\u88c2\u7eb9\u6269\u5c55\u3002\u6700\u540e\uff0c\u6211\u4eec\u5c06\u7b80\u8981\u4ecb\u7ecd\u6570\u503c X-FEM\u3002\u63a5\u4e0b\u6765\uff0c\u5728\u4e0b\u4e00\u8282\u4e2d\uff0c\u6211\u4eec\u5c06\u901a\u8fc7\u4e24\u4e2a\u5b9e\u9645\u793a\u4f8b\u6f14\u793a\u5982\u4f55\u5728 Abaqus \u4e2d\u5e94\u7528 X-FEM\u3002\u8ba9\u6211\u4eec\u5f00\u59cb\u5427\uff01<\/span><\/p>\n<h3>Enrichment Functions<\/h3>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u589e\u5f3a\u51fd\u6570\u5c31\u50cf\u7ed9\u6709\u9650\u5143\u6a21\u578b\uff08FEM\uff09\u52a0\u88c5\u4e86\u6da1\u8f6e\u589e\u538b\u5668\uff0c\u4f7f\u5176\u65e0\u9700\u91cd\u65b0\u7f51\u683c\u5212\u5206\u5373\u53ef\u5904\u7406\u590d\u6742\u95ee\u9898\u3002\u8ba9\u6211\u4eec\u4e00\u8d77\u6765\u63a2\u7d22\u589e\u5f3a\u51fd\u6570\u662f\u4ec0\u4e48\u3001\u4e3a\u4ec0\u4e48\u91cd\u8981\u4ee5\u53ca\u5b83\u4eec\u662f\u5982\u4f55\u5de5\u4f5c\u7684\uff0c\u5e76\u7528\u7b80\u5355\u6613\u61c2\u7684\u65b9\u5f0f\u8fdb\u884c\u8bb2\u89e3\uff01<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u589e\u5f3a\u51fd\u6570\u662f\u6dfb\u52a0\u5230\u6709\u9650\u5143\u65b9\u6cd5 (FEM) \u6846\u67b6\u4e2d\u7684\u5b9e\u7528\u6570\u5b66\u5de5\u5177\uff0c\u7528\u4e8e\u5e2e\u52a9\u6211\u4eec\u5904\u7406\u88c2\u7eb9\u6216\u4e0d\u540c\u6750\u6599\u7b49\u7279\u5f81\u3002\u60a8\u53ef\u4ee5\u5c06\u5176\u89c6\u4e3a\u7279\u6b8a\u7684\u900f\u955c\uff0c\u5e2e\u52a9\u6211\u4eec\u770b\u5230\u6807\u51c6 FEM \u53ef\u80fd\u5ffd\u7565\u7684\u91cd\u8981\u7ec6\u8282\u3002\u501f\u52a9\u8fd9\u4e9b\u589e\u5f3a\u51fd\u6570\uff0c\u6269\u5c55\u6709\u9650\u5143\u65b9\u6cd5 (XFEM) \u53ef\u4ee5\u66f4\u6709\u6548\u5730\u5904\u7406\u65ad\u88c2\u548c\u6750\u6599\u7a81\u53d8\u7b49\u95ee\u9898\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u6838\u5fc3\u601d\u60f3\u662f\u8fd9\u6837\u7684\uff1a<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u5f53\u6750\u6599\u4e2d\u5f62\u6210\u88c2\u7eb9\u65f6\uff0c\u4f1a\u5bfc\u81f4\u4f4d\u79fb\u7a81\u53d8\uff0c\u8fd9\u610f\u5473\u7740\u5b58\u5728\u4e0d\u8fde\u7eed\u6027\u3002\u6b64\u5916\uff0c\u5728\u88c2\u7eb9\u5c16\u7aef\uff0c\u5e94\u529b\u4f1a\u53d8\u5f97\u975e\u5e38\u9ad8\uff0c\u8fd9\u79cd\u60c5\u51b5\u88ab\u79f0\u4e3a\u5947\u5f02\u6027\u3002\u867d\u7136\u6807\u51c6\u6709\u9650\u5143\u65b9\u6cd5 (FEM) \u96be\u4ee5\u5904\u7406\u8fd9\u4e9b\u60c5\u51b5\uff0c\u4f46\u6269\u5c55\u6709\u9650\u5143\u65b9\u6cd5 (XFEM) \u7684\u589e\u5f3a\u51fd\u6570\u4f7f\u5176\u80fd\u591f\u5e73\u6ed1\u6709\u6548\u5730\u5904\u7406\u8fd9\u4e9b\u95ee\u9898\u3002\u73b0\u5728\u7684\u95ee\u9898\u662f\uff0c\u5b83\u662f\u5982\u4f55\u5de5\u4f5c\u7684\uff1f\u8ba9\u6211\u4eec\u4ece\u8fd9\u91cc\u5f00\u59cb\uff1a<\/span><\/p>\n<p><span style=\"font-size: 14pt;\">\u5728\u4f20\u7edf\u7684\u6709\u9650\u5143\u65b9\u6cd5\u4e2d\uff0c\u4f4d\u79fb <em>u(x)<\/em> \u5728\u4efb\u4f55\u65f6\u523b <em>x<\/em> \u8ba1\u7b97\u65b9\u6cd5\u662f\u5c06\u9644\u8fd1\u8282\u70b9\u7684\u8d21\u732e\u503c\u76f8\u52a0\uff1a<\/span><\/p>\n<p><img decoding=\"async\" class=\"aligncenter wp-image-29481 size-full\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-135248.png\" alt=\"\" width=\"187\" height=\"81\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-135248.png 187w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-135248-62x27.png 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-135248-150x65.png 150w\" sizes=\"(max-width: 187px) 100vw, 187px\" \/><\/p>\n<p><span style=\"font-size: 14pt;\">\u8fd9\u91cc\uff1a<\/span><\/p>\n<ul>\n<li><span style=\"font-size: 14pt;\"><em>Ni(x):<\/em> \u5f62\u72b6\u51fd\u6570\uff08\u51b3\u5b9a\u4f4d\u79fb\u5982\u4f55\u53d8\u5316\uff09\u3002.<\/span><\/li>\n<li><span style=\"font-size: 14pt;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-29482\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-135410.png\" alt=\"\" width=\"25\" height=\"30\">\uff1a\u4f4d\u79fb <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-29483\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-135459.png\" alt=\"\" width=\"10\" height=\"21\">\u00a0\u7b2c-\u4e2a\u8282\u70b9\u3002.<\/span><\/li>\n<\/ul>\n<p><span style=\"font-size: 14pt;\">XFEM \u6dfb\u52a0\u989d\u5916\u9879\u4ee5\u6355\u6349\u66f4\u590d\u6742\u7684\u884c\u4e3a\uff1a<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-29484 size-full\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-135606.png\" alt=\"\" width=\"1165\" height=\"56\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-135606.png 1165w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-135606-300x14.png 300w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-135606-1024x49.png 1024w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-135606-430x21.png 430w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-135606-768x37.png 768w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-135606-62x3.png 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-135606-600x29.png 600w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-135606-725x35.png 725w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-135606-150x7.png 150w\" sizes=\"(max-width: 1165px) 100vw, 1165px\" \/><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u5728\u6b64\u80cc\u666f\u4e0b\uff0c, <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-29485\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-135828.png\" alt=\"\" width=\"21\" height=\"23\">\u00a0\u8868\u793a\u5f62\u72b6\u51fd\u6570 <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-29486\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-135850.png\" alt=\"\" width=\"17\" height=\"27\"> \u7b2c 1 \u4e2a\u8282\u70b9\u3002\u96c6\u5408 <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-29487\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-140137.png\" alt=\"\" width=\"17\" height=\"24\">\u00a0\u5305\u62ec\u57df\u5185\u7684\u6240\u6709\u8282\u70b9\uff0c\u800c <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-29488\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-140416.png\" alt=\"\" width=\"17\" height=\"27\">\u00a0\u6307\u7684\u662f\u5bcc\u96c6\u8282\u70b9\u7684\u96c6\u5408\u3002\u8fd9\u4e9b\u672f\u8bed <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-29489\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-140431.png\" alt=\"\" width=\"22\" height=\"27\">\u00a0\u548c <img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-29490\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-140443.png\" alt=\"\" width=\"22\" height=\"27\">\u00a0\u5206\u522b\u8868\u793a\u6807\u51c6\u81ea\u7531\u5ea6\u96c6\u548c\u589e\u5f3a\u81ea\u7531\u5ea6\u96c6\u3002\u6211\u4eec\u77e5\u9053\uff0c\u589e\u5f3a\u81ea\u7531\u5ea6\u662f\u4e0e\u6dfb\u52a0\u5230\u6807\u51c6\u6709\u9650\u5143\u89e3\u4e2d\u7684\u589e\u5f3a\u51fd\u6570\u76f8\u5173\u7684\u65b0\u53d8\u91cf\u3002\u8fd9\u4e9b\u589e\u5f3a\u81ea\u7531\u5ea6\u4f7f\u5f97\u6a21\u578b\u80fd\u591f\u8003\u8651\u57df\u4e2d\u7279\u5b9a\u4f4d\u7f6e\u7684\u4e0d\u8fde\u7eed\u6027\uff08\u4f8b\u5982\u88c2\u7eb9\uff09\u7684\u5f71\u54cd\uff0c\u5373\u4f7f\u8fd9\u4e9b\u4e0d\u8fde\u7eed\u6027\u4e0e\u6709\u9650\u5143\u8fb9\u754c\u4e0d\u91cd\u5408\u3002. <\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\"><strong><em>\u03a6<\/em><\/strong><strong><em>(<\/em><\/strong><strong><em>x<\/em><\/strong><strong><em>)<\/em><\/strong>\u7279\u6b8a\u51fd\u6570\uff08\u5982\u6e10\u8fd1\u88c2\u7eb9\u5c16\u7aef\u51fd\u6570\uff09\u6a21\u62df\u88c2\u7eb9\u5c16\u7aef\u9644\u8fd1\u7684\u5947\u5f02\u5e94\u529b\u573a\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u5728\u6269\u5c55\u6709\u9650\u5143\u6cd5 (XFEM) \u4e2d\uff0c\u6700\u5e38\u7528\u7684\u589e\u5f3a\u51fd\u6570\u4e4b\u4e00\u662f Heaviside \u51fd\u6570\uff0c\u8bb0\u4e3a H(x)\u3002Heaviside \u51fd\u6570\u662f\u4e00\u79cd\u6570\u5b66\u5de5\u5177\uff0c\u5b83\u80fd\u591f\u5728\u4e0d\u8fde\u7eed\u9762\u5904\u4ea7\u751f\u4f4d\u79fb\u573a\u7684\u8dc3\u53d8\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u5b83\u80fd\u591f\u8868\u793a\u88c2\u7eb9\u6216\u754c\u9762\u5904\u53d1\u751f\u7684\u4f4d\u79fb\u7a81\u53d8\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u53ef\u4ee5\u5c06 Heaviside \u51fd\u6570\u60f3\u8c61\u6210\u4e00\u4e2a\u5f00\u5173\uff0c\u5b83\u4f1a\u6839\u636e\u76ee\u6807\u70b9\u4f4d\u4e8e\u88c2\u7eb9\u7684\u54ea\u4e00\u4fa7\u800c\u5f00\u542f\u6216\u5173\u95ed\u3002\u5728\u88c2\u7eb9\u7684\u4e00\u4fa7\uff0c\u4f4d\u79fb\u573a\u7684\u503c\u662f\u4e00\u4e2a\u56fa\u5b9a\u503c\uff1b\u800c\u5728\u53e6\u4e00\u4fa7\uff0c\u4f4d\u79fb\u573a\u7684\u503c\u5219\u4e0d\u540c\u3002XFEM \u5229\u7528\u4f4d\u79fb\u7684\u8fd9\u79cd\u201c\u8df3\u8dc3\u201d\u6765\u7cbe\u786e\u6a21\u62df\u88c2\u7eb9\uff0c\u800c\u65e0\u9700\u66f4\u6539\u7f51\u683c\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u4f8b\u5982\uff0c\u5982\u4e0b\u56fe\uff08\u56fe 3\uff09\u6240\u793a\uff0c\u88c2\u7eb9\u4e0e\u5355\u5143\u76f8\u4ea4\u3002\u5f97\u76ca\u4e8e Heaviside \u589e\u5f3a\uff0c\u5373\u4f7f\u88c2\u7eb9\u4e0e\u7f51\u683c\u7ebf\u4e0d\u5bf9\u9f50\uff0c\u6269\u5c55\u6709\u9650\u5143\u6cd5 (XFEM) \u4e5f\u80fd\u8003\u8651\u88c2\u7eb9\u5904\u7684\u4f4d\u79fb\u8dc3\u53d8\u3002.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-29491\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-140706.png\" alt=\"\u8282\u70b9\u7684 Heaviside \u5bcc\u96c6 | XFEM Abaqus\" width=\"718\" height=\"327\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-140706.png 1056w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-140706-300x137.png 300w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-140706-1024x466.png 1024w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-140706-430x196.png 430w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-140706-768x350.png 768w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-140706-62x28.png 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-140706-600x273.png 600w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-140706-725x330.png 725w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-140706-150x68.png 150w\" sizes=\"(max-width: 718px) 100vw, 718px\" \/><\/p>\n<p style=\"text-align: center;\">\u56fe 3\uff1a\u8282\u70b9\u7684 Heaviside \u5bcc\u96c6 [<a href=\"https:\/\/www.mdpi.com\/2075-4701\/11\/11\/1761\" target=\"_blank\" rel=\"nofollow noopener\"><span style=\"color: #0000ff;\">\u53c2\u8003<\/span><\/a>]<\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u4e3a\u4e86\u7cbe\u786e\u8868\u793a\u6784\u4ef6\u4e2d\u7684\u4e0d\u8fde\u7eed\u6027\uff0c\u91c7\u7528\u4e86 Heaviside \u51fd\u6570\u3002\u8be5\u51fd\u6570\u5bf9\u88c2\u7eb9\uff08\u6216\u63a5\u5934\uff09\u7684\u6bcf\u4e00\u4fa7\u8fdb\u884c\u5fae\u5206\uff0c\u5176\u5b9a\u4e49\u5982\u4e0b\uff1a<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-29492\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-140905.png\" alt=\"\" width=\"355\" height=\"133\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-140905.png 416w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-140905-300x113.png 300w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-140905-62x23.png 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-140905-150x56.png 150w\" sizes=\"(max-width: 355px) 100vw, 355px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-29493\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-141046.png\" alt=\"\u8d6b\u7ef4\u8d5b\u51fd\u6570\u7a7f\u8fc7\u5143\u7d20\" width=\"376\" height=\"315\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-141046.png 487w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-141046-300x251.png 300w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-141046-430x360.png 430w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-141046-62x52.png 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-141046-150x126.png 150w\" sizes=\"(max-width: 376px) 100vw, 376px\" \/><\/p>\n<p style=\"text-align: center;\">\u56fe 4\uff1aHeaviside \u51fd\u6570\u7a7f\u8fc7\u4e00\u4e2a\u5143\u7d20<\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u5750\u6807 (x, y) \u8868\u793a\u57df\u5185\u4efb\u610f\u70b9\u7684\u4f4d\u7f6e\uff0c\u91c7\u7528\u76f8\u5bf9\u4e8e\u88c2\u7eb9\u7684\u5c40\u90e8\u5750\u6807\u7cfb\u3002\u60f3\u8c61\u4e00\u4e0b\uff0c\u4e00\u6761\u88c2\u7eb9\u7a7f\u8fc7\u4e00\u4e2a\u5355\u5143\uff08\u89c1\u56fe 4\uff09\u3002Heaviside \u51fd\u6570\u7528\u4e8e\u6a21\u62df\u88c2\u7eb9\u9020\u6210\u7684\u4e0d\u8fde\u7eed\u6027\u3002\u5b83\u5728\u88c2\u7eb9\u7684\u4e00\u4fa7\u8d4b\u503c\u4e3a +1\uff0c\u5728\u53e6\u4e00\u4fa7\u8d4b\u503c\u4e3a -1\uff0c\u4ece\u800c\u4f7f XFEM \u80fd\u591f\u7cbe\u786e\u5730\u8bc6\u522b\u4e0d\u8fde\u7eed\u6027\u7684\u4f4d\u7f6e\u3002\u8be5\u4fe1\u606f\u968f\u540e\u4f1a\u4fee\u6b63\u4f4d\u79fb\u573a\uff0c\u786e\u4fdd\u88c2\u7eb9\u5f97\u5230\u7cbe\u786e\u8868\u793a\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u8fd9\u79cd\u65b9\u6cd5\u53ef\u4ee5\u8f7b\u677e\u6269\u5c55\u5230\u5904\u7406\u57df\u5185\u7684\u591a\u4e2a\u88c2\u7eb9\uff08\u6216\u8fde\u63a5\u5904\uff09\u3002\u7f51\u683c\u4e2d\u7684\u6bcf\u4e2a\u5355\u5143\u6709\u56db\u4e2a\u8282\u70b9\uff0c\u5f53\u5355\u5143\u7684\u8282\u70b9\u4e0e\u88c2\u7eb9\u76f8\u4ea4\u65f6\uff0c\u6211\u4eec\u4f7f\u7528\u589e\u5f3a\u51fd\u6570\u6765\u63d0\u9ad8\u8be5\u8282\u70b9\u5904\u89e3\u7684\u7cbe\u5ea6\u3002\u4f46\u662f\uff0c\u5982\u679c\u4e24\u6761\u88c2\u7eb9\uff08\u6216\u8fde\u63a5\u5904\uff09\u76f8\u4ea4\uff0c\u5219\u9700\u8981\u8003\u8651\u5176\u4ed6\u56e0\u7d20\uff0c\u4ee5\u786e\u4fdd\u6b63\u786e\u6a21\u62df\u88c2\u7eb9\u4e4b\u95f4\u7684\u76f8\u4e92\u4f5c\u7528\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u88c2\u7f1d\u5bf9\u76f8\u4ea4\u4e3b\u8981\u6709\u4e09\u79cd\u60c5\u51b5\uff0c\u4e0b\u56fe\u8bf4\u660e\u4e86\u8fd9\u4e9b\u76f8\u4e92\u4f5c\u7528\u3002.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-29494\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-141224.png\" alt=\"\u4e09\u79cd\u51fd\u6570\u60c5\u51b5\uff1a\uff08a\uff09\u5168\u4ea4\u53c9\uff1b\uff08b\uff09\u534a\u4ea4\u53c9\uff1b\uff08c\uff09\u7aef\u4ea4\u53c9\" width=\"751\" height=\"233\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-141224.png 918w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-141224-300x93.png 300w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-141224-430x133.png 430w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-141224-768x238.png 768w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-141224-62x19.png 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-141224-600x186.png 600w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-141224-725x225.png 725w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-141224-150x47.png 150w\" sizes=\"(max-width: 751px) 100vw, 751px\" \/><\/p>\n<p style=\"text-align: center;\">\u56fe 5\uff1a\u4e09\u79cd\u51fd\u6570\u60c5\u51b5\uff0c\u5206\u522b\u4e3a (a) \u5168\u4ea4\u53c9 (b) \u534a\u4ea4\u53c9 (c) \u7aef\u4ea4\u53c9 [<a href=\"https:\/\/static.rocscience.cloud\/assets\/verification-and-theory\/RS2\/XFEM-Theory-Document.pdf\" target=\"_blank\" rel=\"nofollow noopener\"><span style=\"color: #0000ff;\">\u53c2\u8003<\/span><\/a>]<\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u5982\u56fe 5-a \u6240\u793a\uff0c\u5f53\u4e24\u6761\u88c2\u7eb9\u5b8c\u5168\u76f8\u4ea4\u65f6\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u6bcf\u6761\u88c2\u7eb9\u7684 Heaviside \u51fd\u6570\u7684\u4e58\u79ef\u6765\u5b9a\u4e49\u5b83\u4eec\u4e4b\u95f4\u7684\u76f8\u4e92\u4f5c\u7528\u3002\u8fd9\u8868\u793a\u4e3a \ud835\udc3d(\ud835\udc65) = \ud835\udc3b\u2081(\ud835\udc65) * \ud835\udc3b\u2082(\ud835\udc65)\uff0c\u5176\u4e2d \ud835\udc3b\u2081 \u548c \ud835\udc3b\u2082 \u5206\u522b\u662f\u4e24\u6761\u88c2\u7eb9\u7684 Heaviside \u51fd\u6570\u3002\u8be5\u8054\u5408\u51fd\u6570\u5728\u88c2\u7eb9\u76f8\u4ea4\u7684\u5355\u5143\u5185\u521b\u5efa\u4e86\u56db\u4e2a\u4e0d\u540c\u7684\u533a\u57df\u3002\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u5355\u5143\u5185\u7684\u6240\u6709\u8282\u70b9\u90fd\u4fdd\u6301\u5176\u5404\u81ea\u5bf9\u4e24\u6761\u88c2\u7eb9\u7684 Heaviside \u589e\u5f3a\u3002\u6b64\u5916\uff0c\u8be5\u51fd\u6570\uff08<strong><em>\u03a6<\/em><\/strong> \uff08\ud835\udc65\uff09\uff09\u4e3a\u8fd9\u4e9b\u8282\u70b9\u63d0\u4f9b\u989d\u5916\u7684\u4e30\u5bcc\u6027\uff0c\u4ee5\u89e3\u91ca\u4ea4\u96c6\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u5982\u679c\u5c06\u5176\u4e2d\u4e00\u6761\u88c2\u7eb9\u8ba4\u5b9a\u4e3a\u4e3b\u88c2\u7eb9\uff0c\u5219\u53e6\u4e00\u6761\u88c2\u7eb9\u79f0\u4e3a\u6b21\u88c2\u7eb9\u3002\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u4fdd\u7559\u4e3b\u8282\u7406\u7684\u8d6b\u7ef4\u8d5b\u5fb7\u5bcc\u96c6\u7cfb\u6570\uff0c\u540c\u65f6\u53bb\u9664\u4e3b\u88c2\u7eb9\u7684\u5bcc\u96c6\u7cfb\u6570\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u5728\u7b2c\u4e09\u79cd\u60c5\u51b5\u4e0b\uff0c\u5982\u679c\u4e24\u4e2a\u88c2\u7eb9\u88ab\u540c\u7b49\u5bf9\u5f85\uff0c\u5219\u4e24\u4e2a Heaviside \u5bcc\u96c6\u9879\u90fd\u88ab\u820d\u5f03\uff0c\u53ea\u4fdd\u7559\u51fd\u6570\uff08<strong><em>\u03a6<\/em><\/strong> \uff08\ud835\udc65\uff09\uff09\u5bcc\u96c6\u662f\u4e3a\u4e86\u8868\u793a\u4e24\u4e2a\u88c2\u7eb9\u4e4b\u95f4\u7684\u76f8\u4e92\u4f5c\u7528\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u901a\u8fc7\u5728\u4f4d\u79fb\u573a\u4e2d\u52a0\u5165 H(x) \u548c \u03a6(x)\uff0c\u6269\u5c55\u6709\u9650\u5143\u6cd5\u65e0\u9700\u91cd\u65b0\u5212\u5206\u7f51\u683c\u5373\u53ef\u6a21\u62df\u88c2\u7eb9\u548c\u5947\u5f02\u6027\u3002\u8fd9\u5c31\u50cf\u5c06\u6807\u51c6\u5de5\u5177\u5347\u7ea7\u4e3a\u80fd\u591f\u5e94\u5bf9\u72ec\u7279\u6311\u6218\u7684\u4e13\u7528\u5de5\u5177\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u603b\u4f4d\u79fb\u8fd1\u4f3c\u503c\u5982\u4e0b\u6240\u793a\uff1a<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">u(x)=(\u6807\u51c6\u6709\u9650\u5143\u90e8\u5206)+(\u88c2\u7eb9\u7684Heaviside\u589e\u5f3a)+(\u5947\u5f02\u6027\u88c2\u7eb9\u5c16\u7aef\u589e\u5f3a)<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u8fd9\u4e9b\u7279\u6027\u5728\u6750\u6599\u754c\u9762\uff08\u5373\u4e24\u79cd\u4e0d\u540c\u6750\u6599\u76f8\u9047\u7684\u8fb9\u754c\uff09\u5904\u4f53\u73b0\u5f97\u6700\u4e3a\u660e\u663e\u3002.<\/span><\/p>\n<h3>Material Interfaces<\/h3>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u4e0e\u590d\u5408\u6750\u6599\u7c7b\u4f3c\uff0c\u591a\u76f8\u6750\u6599\u7531\u4e0d\u540c\u7684\u76f8\u7ec4\u6210\uff0c\u6bcf\u4e2a\u76f8\u90fd\u5bf9\u6574\u4f53\u529b\u5b66\u6027\u80fd\u6709\u6240\u8d21\u732e\u3002\u8fd9\u4e9b\u76f8\u7684\u4ea4\u754c\u9762\u81f3\u5173\u91cd\u8981\uff0c\u56e0\u4e3a\u5f53\u6750\u6599\u53d7\u5230\u5e94\u529b\u4f5c\u7528\u65f6\uff0c\u8fd9\u4e9b\u754c\u9762\u5bb9\u6613\u53d1\u751f\u8131\u7c98\u6216\u5f00\u88c2\u3002\u4f20\u7edf\u7684\u6709\u9650\u5143\u65b9\u6cd5 (FEM) \u5728\u6a21\u62df\u8fd9\u4e9b\u754c\u9762\u65f6\u9762\u4e34\u6311\u6218\uff0c\u56e0\u4e3a\u5b83\u4eec\u901a\u5e38\u9700\u8981\u590d\u6742\u7684\u7f51\u683c\u8c03\u6574\u624d\u80fd\u7cbe\u786e\u6355\u6349\u754c\u9762\u884c\u4e3a\u3002\u6269\u5c55\u6709\u9650\u5143\u65b9\u6cd5 (X-FEM) \u7ed3\u5408\u6c34\u5e73\u96c6\u65b9\u6cd5\uff0c\u63d0\u4f9b\u4e86\u4e00\u79cd\u66f4\u9ad8\u6548\u7684\u89e3\u51b3\u65b9\u6848\u3002X-FEM \u5141\u8bb8\u5728\u65e0\u9700\u66f4\u6539\u7f51\u683c\u7684\u60c5\u51b5\u4e0b\u5bf9\u754c\u9762\u8fdb\u884c\u5efa\u6a21\u3002\u901a\u8fc7\u4f7f\u7528\u6c34\u5e73\u96c6\u65b9\u6cd5\uff0cX-FEM \u53ef\u4ee5\u9690\u5f0f\u5730\u8868\u793a\u8fd9\u4e9b\u754c\u9762\u3002\u5047\u8bbe\u5b58\u5728\u4e00\u4e2a\u51fd\u6570 \u03d5(x)\uff0c\u4f7f\u5f97\uff1a<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-29495\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-141541.png\" alt=\"\" width=\"448\" height=\"129\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-141541.png 510w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-141541-300x86.png 300w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-141541-430x124.png 430w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-141541-62x18.png 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-141541-150x43.png 150w\" sizes=\"(max-width: 448px) 100vw, 448px\" \/><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u8be5\u5b9a\u4e49\u5c06\u57df\u5212\u5206\u4e3a\u591a\u4e2a\u533a\u57df\uff0c\u4ece\u800c\u53ef\u4ee5\u8f7b\u677e\u8bc6\u522b\u67d0\u4e2a\u70b9\u6240\u5c5e\u7684\u6750\u6599\u3002\u96f6\u7b49\u503c\u7ebf (\u03d5=0) \u4ee3\u8868\u5b9e\u9645\u754c\u9762\u3002\u8ba9\u6211\u4eec\u66f4\u8be6\u7ec6\u5730\u89e3\u91ca\u4e00\u4e0b\u8fd9\u4e2a\u51fd\u6570\uff1a\u6c34\u5e73\u96c6\u51fd\u6570\u5c06\u754c\u9762\u5b9a\u4e49\u4e3a\u6807\u91cf\u51fd\u6570\u7684\u96f6\u6c34\u5e73\u96c6\uff0c\u4ece\u800c\u65e0\u9700\u4fee\u6539\u5e95\u5c42\u7f51\u683c\u5373\u53ef\u5bf9\u590d\u6742\u4e14\u4e0d\u65ad\u6f14\u53d8\u7684\u5f62\u72b6\u8fdb\u884c\u5efa\u6a21\u3002\u8fd9\u79cd\u65b9\u6cd5\u5728\u5904\u7406\u6750\u6599\u4e2d\u7684\u88c2\u7eb9\u6216\u76f8\u8fb9\u754c\u65f6\u5c24\u4e3a\u6709\u6548\uff0c\u4e14\u65e0\u9700\u8fdb\u884c\u7f51\u683c\u7ec6\u5316\uff0c\u4ece\u800c\u907f\u514d\u4e86\u8ba1\u7b97\u4e0a\u7684\u590d\u6742\u6027\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u8fd9\u4e9b\u51fd\u6570\u65e8\u5728\u6355\u6349\u754c\u9762\u5904\u7684\u5f31\u4e0d\u8fde\u7eed\u6027\u548c\u5f3a\u4e0d\u8fde\u7eed\u6027\uff0c\u4f8b\u5982\u88c2\u7eb9\u6216\u8131\u7c98\uff0c\u800c\u65e0\u9700\u4f9d\u8d56\u7f51\u683c\u7ed3\u6784\u3002\u5f53\u754c\u9762\u53d1\u751f\u8131\u7c98\u6216\u5f00\u88c2\u65f6\uff0c\u5185\u805a\u533a\u6a21\u578b (CZM) \u7528\u4e8e\u63cf\u8ff0\u754c\u9762\u4e24\u4fa7\u7684\u7275\u5f15\u529b\uff08\u529b\uff09\u548c\u4f4d\u79fb\u8dc3\u53d8\u4e4b\u95f4\u7684\u5173\u7cfb\uff08\u4ec0\u4e48\u662f CZM\uff1f\u6211\u4eec\u7a0d\u540e\u4f1a\u8ba8\u8bba\uff09\u3002\u5177\u4f53\u6765\u8bf4\uff0c\u7275\u5f15-\u5206\u79bb\u5b9a\u5f8b\uff08 <strong>\u7275\u5f15\u5206\u79bb\u5b9a\u5f8b<\/strong> \u5185\u805a\u533a\u6a21\u578b\u662f\u7528\u4e8e\u6a21\u62df\u754c\u9762\uff08\u4f8b\u5982\u88c2\u7eb9\u6216\u6750\u6599\u8fb9\u754c\uff09\u5728\u8f7d\u8377\u4f5c\u7528\u4e0b\u884c\u4e3a\u7684\u57fa\u672c\u6982\u5ff5\uff0c\u901a\u5e38\u91c7\u7528\u6307\u6570\u5f62\u5f0f\u3002\u8be5\u5b9a\u5f8b\u63a7\u5236\u7740\u88c2\u7eb9\u5f20\u5f00\u6216\u6269\u5c55\u8fc7\u7a0b\u4e2d\u7684\u5e94\u529b\u5206\u5e03\uff0c\u786e\u4fdd\u88c2\u7eb9\u884c\u4e3a\u7684\u6cd5\u5411\uff08\u5782\u76f4\uff09\u548c\u5207\u5411\uff08\u526a\u5207\uff09\u5206\u91cf\u90fd\u80fd\u88ab\u7cbe\u786e\u6355\u6349\u3002\u901a\u8fc7\u8fd9\u79cd\u65b9\u5f0f\uff0c\u5185\u805a\u533a\u6a21\u578b\u80fd\u591f\u771f\u5b9e\u5730\u6a21\u62df\u6750\u6599\u7684\u5931\u6548\u8fc7\u7a0b\uff0c\u5305\u62ec\u88c2\u7eb9\u7684\u840c\u751f\u548c\u6269\u5c55\u3002.<\/span><\/p>\n<h3>Crack Cohesive Model<\/h3>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u9996\u5148\uff0c\u6211\u4eec\u6765\u89e3\u91ca\u4e00\u4e0b\u88c2\u7eb9\u5185\u805a\u6a21\u578b\u3002\u8be5\u65b9\u6cd5\u5728\u590d\u5408\u6750\u6599\u5185\u805a\u88c2\u7eb9\u6269\u5c55\u7684\u6570\u503c\u6a21\u62df\u4e2d\u8868\u73b0\u51fa\u8272\uff01\u5373\u4f7f\u4f7f\u7528\u4e0d\u540c\u7684\u7f51\u683c\u914d\u7f6e\uff0c\u5b83\u4e5f\u80fd\u5c55\u73b0\u51fa\u5f3a\u5927\u7684\u6027\u80fd\u3002\u6211\u4eec\u5206\u522b\u5bf9\u5185\u805a\u533a\u548c\u8ba1\u7b97\u57df\u8fdb\u884c\u7cbe\u7ec6\u7684\u79ef\u5206\uff0c\u8fd9\u6709\u52a9\u4e8e\u6211\u4eec\u7cbe\u786e\u5730\u8ffd\u8e2a\u88c2\u7eb9\u7684\u6269\u5c55\u884c\u4e3a\u3002\u8fd9\u4e00\u70b9\u81f3\u5173\u91cd\u8981\uff0c\u56e0\u4e3a\u5b83\u53ef\u4ee5\u786e\u4fdd\u5185\u805a\u88c2\u7eb9\u5e73\u6ed1\u6269\u5c55\uff0c\u800c\u65e0\u9700\u6211\u4eec\u8c03\u6574\u7f51\u683c\u6216\u8fdb\u884c\u4efb\u4f55\u5176\u4ed6\u4fee\u6539\u3002.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-29498\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-142220.png\" alt=\"\u590d\u5408\u6750\u6599\u4e2d\u7684\u5185\u805a\u88c2\u7eb9\u6269\u5c55\" width=\"668\" height=\"258\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-142220.png 862w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-142220-300x116.png 300w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-142220-430x166.png 430w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-142220-768x297.png 768w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-142220-62x24.png 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-142220-600x232.png 600w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-142220-725x280.png 725w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-142220-150x58.png 150w\" sizes=\"(max-width: 668px) 100vw, 668px\" \/><\/p>\n<p style=\"text-align: center;\">\u56fe 6\uff1a\u590d\u5408\u6750\u6599\u4e2d\u7684\u5185\u805a\u88c2\u7eb9\u6269\u5c55 [<a href=\"https:\/\/www.researchgate.net\/publication\/267386190_Development_of_a_Finite_Element_Based_Thermal_Cracking_Performance_Prediction_Model\" target=\"_blank\" rel=\"nofollow noopener\"><span style=\"color: #0000ff;\">\u53c2\u8003<\/span><\/a>]<\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u00a0\u56fe 6 \u5c55\u793a\u4e86\u5185\u805a\u6a21\u578b\u7684\u5de5\u4f5c\u539f\u7406\u3002\u5982\u56fe\u6240\u793a\uff0c\u5185\u805a\u533a\u662f\u88c2\u7eb9\u5c16\u7aef\u9644\u8fd1\u7684\u4e00\u5c0f\u5757\u533a\u57df\uff0c\u5728\u88c2\u7eb9\u5b8c\u5168\u6269\u5c55\u4e4b\u524d\uff0c\u6750\u6599\u7684\u5185\u90e8\u963b\u529b\uff08\u5185\u805a\u529b\uff09\u5b58\u5728\u4e8e\u8be5\u533a\u57df\u5185\u3002\u6750\u6599\u4e0d\u4f1a\u5728\u88c2\u7eb9\u840c\u751f\u540e\u7acb\u5373\u5931\u6548\u6216\u5206\u79bb\uff1b\u76f8\u53cd\uff0c\u5b83\u5728\u5185\u805a\u533a\u5185\u7ecf\u5386\u4e00\u4e2a\u6e10\u8fdb\u7684\u9000\u5316\u8fc7\u7a0b\u3002\u5728\u8be5\u533a\u57df\u5185\uff0c\u6750\u6599\u8868\u73b0\u51fa\u4e24\u79cd\u7279\u6027\uff1a <strong>\u538b\u529b<\/strong> \uff08\u963b\u6b62\u88c2\u7f1d\u5f20\u5f00\uff09 <strong>\u62c9\u7d27<\/strong> \uff08\u4e0e\u5206\u79bb\u8fc7\u7a0b\u4e2d\u6750\u6599\u7684\u53d8\u5f62\u6709\u5173\uff09\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u6240\u4ee5 <strong>\u88c2\u7eb9\u5185\u805a\u6a21\u578b<\/strong> \u8be5\u65b9\u6cd5\u901a\u8fc7\u6a21\u62df\u88c2\u7eb9\u5c16\u7aef\u524d\u65b9\u5185\u805a\u533a\uff08\u5373\u6750\u6599\u4ecd\u80fd\u62b5\u6297\u5206\u79bb\u7684\u533a\u57df\uff09\u5185\u7684\u6750\u6599\u884c\u4e3a\uff0c\u6765\u6a21\u62df\u88c2\u7eb9\u7684\u840c\u751f\u548c\u6269\u5c55\u3002\u8be5\u6a21\u578b\u57fa\u4e8e\u5185\u805a\u5b9a\u5f8b\uff0c\u8be5\u5b9a\u5f8b\u5b9a\u4e49\u4e86\u7275\u5f15\u529b\uff08\u5e94\u529b\uff09\u548c\u5206\u79bb\u529b\uff08\u4f4d\u79fb\uff09\u4e4b\u95f4\u7684\u5173\u7cfb\uff0c\u5e76\u5305\u542b\u4e86\u88c2\u7eb9\u6269\u5c55\u7684\u5931\u6548\u51c6\u5219\u3002\u8fd9\u79cd\u65b9\u6cd5\u5bf9\u4e8e\u6a21\u62df\u6750\u6599\u5931\u6548\u81f3\u5173\u91cd\u8981\uff0c\u5c24\u5176\u9002\u7528\u4e8e\u590d\u5408\u6750\u6599\u3001\u7c98\u5408\u5242\u548c\u5176\u4ed6\u975e\u5747\u8d28\u6750\u6599\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u6700\u540e\uff0c\u5c06\u5185\u805a\u533a\u6a21\u578b\u96c6\u6210\u5230\u6269\u5c55\u6709\u9650\u5143\u65b9\u6cd5\uff08X-FEM\uff09\u4e2d\uff0c\u53ef\u4ee5\u5b9e\u73b0\u5bf9\u88c2\u7eb9\u6269\u5c55\u548c\u6750\u6599\u5931\u6548\u7684\u6781\u5176\u7cbe\u786e\u7684\u6a21\u62df\u3002X-FEM \u4f7f\u88c2\u7eb9\u80fd\u591f\u5728\u73b0\u6709\u7f51\u683c\u5185\u5e73\u6ed1\u6269\u5c55\uff0c\u65e0\u9700\u91cd\u65b0\u5212\u5206\u7f51\u683c\u3002\u8fd9\u4e00\u7279\u6027\u6709\u52a9\u4e8e\u52a8\u6001\u88c2\u7eb9\u6f14\u5316\uff0c\u540c\u65f6\u786e\u4fdd\u8ba1\u7b97\u6548\u7387\u548c\u7cbe\u5ea6\u3002.<\/span><\/p>\n<h3>Multiple cracks and crack nucleation<\/h3>\n<p><span style=\"font-size: 14pt;\">\u5728\u571f\u6728\u5de5\u7a0b\u548c\u822a\u7a7a\u822a\u5929\u5de5\u7a0b\u7b49\u9886\u57df\uff0c\u5904\u7406\u6750\u6599\u4e2d\u7684\u591a\u6761\u88c2\u7eb9\u81f3\u5173\u91cd\u8981\uff0c\u56e0\u4e3a\u8fd9\u4e9b\u9886\u57df\u7684\u6750\u6599\u7ecf\u5e38\u627f\u53d7\u590d\u6742\u7684\u5e94\u529b\u6761\u4ef6\uff08\u56fe 7\uff09\u3002.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-29499\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-142539.png\" alt=\"\u88c2\u7eb9\u5206\u652f\u7684\u4e00\u4e2a\u4f8b\u5b50\" width=\"523\" height=\"249\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-142539.png 716w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-142539-300x143.png 300w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-142539-430x205.png 430w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-142539-62x30.png 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-142539-600x286.png 600w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-142539-150x71.png 150w\" sizes=\"(max-width: 523px) 100vw, 523px\" \/><\/p>\n<p style=\"text-align: center;\">\u56fe 7\uff1a\u88c2\u7eb9\u5206\u652f\u793a\u4f8b<\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u5bf9\u4e8e\u7a7a\u9699\u2014\u2014\u6750\u6599\u5185\u90e8\u6ca1\u6709\u7ed3\u6784\u7684\u533a\u57df\u2014\u2014X-FEM \u4f7f\u7528\u4e00\u79cd\u79f0\u4e3a\u201c\u7a7a\u9699\u201d\u7684\u72ec\u7279\u51fd\u6570\u3002 <strong>\u5bcc\u96c6\u51fd\u6570<\/strong>, \uff0c\u6807\u8bb0\u4e3a <em>V(x)<\/em>. \u6b64\u529f\u80fd\u5c31\u50cf\u4e00\u4e2a\u201c\u5f00\/\u5173\u201d\u5f00\u5173\uff0c\u4f7f\u6211\u4eec\u80fd\u591f\u533a\u5206\u6709\u6750\u6599\u7684\u533a\u57df\u548c\u6ca1\u6709\u6750\u6599\u7684\u533a\u57df\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u5b83\u7684\u8fd0\u4f5c\u65b9\u5f0f\u5982\u4e0b\uff1a<\/span><\/p>\n<ul style=\"text-align: justify;\">\n<li><span style=\"font-size: 14pt;\"><strong>\u6750\u6599\u5185\u90e8<\/strong>\u5f53\u4f4d\u4e8e\u7ed3\u6784\u7684\u56fa\u4f53\u90e8\u5206\u65f6\uff0cV(x)= 1\u3002.<\/span><\/li>\n<li><span style=\"font-size: 14pt;\"><strong>\u865a\u7a7a\u4e4b\u5185<\/strong>\uff1a\u5f53\u5b58\u5728\u7a7a\u9699\u65f6\uff0cV(x)=0\uff0c\u6709\u6548\u5730\u5c06\u8be5\u90e8\u5206\u4ece\u7f51\u683c\u4e2d\u79fb\u9664\u3002.<\/span><\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u901a\u8fc7\u5c06\u7a7a\u9699\u9644\u8fd1\u8282\u70b9\u7684\u5f62\u72b6\u51fd\u6570\u4e58\u4ee5 <em>V(x)<\/em>, \u6211\u4eec\u5c06\u5b83\u4eec\u7684\u5f71\u54cd\u8303\u56f4\u7f29\u5c0f\u5230\u4ec5\u9650\u4e8e\u6750\u6599\u533a\u57df\uff0c\u4ece\u800c\u4f7f\u8ba1\u7b97\u66f4\u52a0\u51c6\u786e\u9ad8\u6548\u3002\u5982\u679c\u4e00\u4e2a\u8282\u70b9\u5b8c\u5168\u4f4d\u4e8e\u7a7a\u9699\u5185\uff0c\u5219\u5176\u81ea\u7531\u5ea6\u5c06\u88ab\u6d88\u9664\uff08\u6216\u8bbe\u7f6e\u4e3a\u96f6\uff09\uff0c\u4ece\u800c\u51cf\u5c11\u4e0d\u5fc5\u8981\u7684\u8ba1\u7b97\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u88c2\u7eb9\u5206\u652f\u6210\u591a\u6761\u8def\u5f84\u6216\u76f8\u4e92\u4ea4\u53c9\u7684\u5efa\u6a21\u53ef\u80fd\u6bd4\u8f83\u68d8\u624b\uff08\u56fe 6\uff09\uff0c\u4f46 X-FEM \u65b9\u6cd5\u901a\u8fc7\u4f7f\u7528\u4e0d\u8fde\u7eed\u7684\u589e\u5f3a\u51fd\u6570\u53ef\u4ee5\u8f7b\u677e\u5904\u7406\u8fd9\u79cd\u60c5\u51b5\u3002\u8fd9\u4e9b\u51fd\u6570\u589e\u52a0\u4e86\u6709\u9650\u5143\u7f51\u683c\u7684\u7075\u6d3b\u6027\uff0c\u5141\u8bb8\u88c2\u7eb9\u7a7f\u8fc7\u6750\u6599\u800c\u4e0d\u4f1a\u7834\u574f\u7f51\u683c\u672c\u8eab\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u5904\u7406\u5206\u652f\u88c2\u7f1d\u7684\u5173\u952e\u7ec4\u6210\u90e8\u5206\u5305\u62ec\uff1a<\/span><\/p>\n<ol>\n<li style=\"text-align: justify;\"><span style=\"font-size: 14pt;\"><strong>\u4e0d\u8fde\u7eed\u51fd\u6570<\/strong>\u5bf9\u4e8e\u6bcf\u6761\u88c2\u7f1d\uff0c\u6211\u4eec\u90fd\u6709\u4e00\u4e2a\u51fd\u6570\uff0c, <em>H(x)<\/em>, \u8fd9\u8868\u660e\u88c2\u7eb9\u5904\u5b58\u5728\u660e\u663e\u7684\u65ad\u70b9\u3002\u5f53\u88c2\u7eb9\u5206\u53c9\u6216\u4ea4\u53c9\u65f6\uff0c\u6211\u4eec\u4f1a\u6dfb\u52a0\u66f4\u591a\u51fd\u6570\u2014\u2014\u4f8b\u5982 <em>H<sub>\u6211<\/sub>\uff08x\uff09<\/em> \u548c <em>H<sub>\u4e8c<\/sub>\uff08x\uff09<\/em> \u5206\u522b\u5904\u7406\u6bcf\u4e2a\u90e8\u5206\u3002.<\/span><\/li>\n<li style=\"text-align: justify;\"><span style=\"font-size: 14pt;\"><strong>\u8fde\u63a5\u529f\u80fd <em>J(x)<\/em><\/strong>\u5728\u88c2\u7eb9\u4ea4\u6c47\u5904\uff0c\u6211\u4eec\u4f7f\u7528\u7279\u6b8a\u7684\u8fde\u63a5\u51fd\u6570\u3002\u8be5\u51fd\u6570\u786e\u4fdd\u88c2\u7eb9\u7684\u6bcf\u4e2a\u5206\u652f\u5728\u4ea4\u6c47\u5904\u90fd\u80fd\u72ec\u7acb\u4e14\u7cbe\u786e\u5730\u8868\u73b0\u51fa\u5e94\u529b\u5206\u5e03\uff0c\u4ece\u800c\u5728\u8fd9\u4e9b\u590d\u6742\u533a\u57df\u4e2d\u5efa\u7acb\u771f\u5b9e\u7684\u5e94\u529b\u5206\u5e03\u6a21\u578b\u3002.<\/span><\/li>\n<\/ol>\n<h3>Numerical Integration<\/h3>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u5728\u6269\u5c55\u6709\u9650\u5143\u6cd5 (X-FEM) \u4e2d\uff0c\u4e0e\u88c2\u7eb9\uff08\u6216\u5176\u4ed6\u4e0d\u8fde\u7eed\u9762\uff09\u76f8\u4ea4\u7684\u5355\u5143\u9700\u8981\u7279\u522b\u5904\u7406\uff0c\u624d\u80fd\u7cbe\u786e\u6355\u6349\u88c2\u7eb9\u5468\u56f4\u7684\u4f4d\u79fb\u573a\u3002\u7136\u800c\uff0c\u7531\u4e8e\u88c2\u7eb9\u51e0\u4f55\u5f62\u72b6\u4e0e\u7f51\u683c\u4e0d\u4e00\u81f4\uff0c\u5bf9\u8fd9\u4e9b\u5355\u5143\u8fdb\u884c\u6807\u51c6\u79ef\u5206\u53ef\u80fd\u4f1a\u5bfc\u81f4\u8bef\u5dee\uff0c\u5c24\u5176\u662f\u5728\u88c2\u7eb9\u8def\u5f84\u9644\u8fd1\u3002\u901a\u8fc7\u5c06\u8fd9\u4e9b\u5207\u5272\u5355\u5143\u7ec6\u5206\u4e3a\u66f4\u5c0f\u7684\u5b50\u5355\u5143\uff0cX-FEM \u53ef\u4ee5\u66f4\u7cbe\u786e\u5730\u5728\u6bcf\u4e2a\u533a\u57df\u5185\u79ef\u5206\u589e\u5f3a\u51fd\u6570\uff0c\u540c\u65f6\u4fdd\u7559\u88c2\u7eb9\u8868\u9762\u7684\u4e0d\u8fde\u7eed\u6027\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u6269\u5c55\u6709\u9650\u5143\u6cd5 (X-FEM) \u51fd\u6570\u7684\u79ef\u5206\u9762\u4e34\u4e24\u5927\u6311\u6218\uff1a\u88c2\u7eb9\u6cbf\u7ebf\u7684\u4e0d\u8fde\u7eed\u6027\u548c\u88c2\u7eb9\u5c16\u7aef\u7684\u5947\u5f02\u6027\u3002\u4e3a\u4e86\u89e3\u51b3\u5207\u5272\u5355\u5143\u7684\u6570\u503c\u79ef\u5206\u95ee\u9898\uff0c\u901a\u5e38\u5c06\u5176\u5212\u5206\u4e3a\u6807\u51c6\u5b50\u5355\u5143\u3002\u4e3a\u4e86\u5728\u8fd9\u4e9b\u5b50\u5355\u5143\u5185\u83b7\u5f97\u7cbe\u786e\u7684\u7ed3\u679c\uff0c\u5e94\u91c7\u7528\u9ad8\u9636\u9ad8\u65af\u6c42\u79ef\u516c\u5f0f\u3002\u8be5\u65b9\u6cd5\u6d89\u53ca\u5bf9\u5207\u5272\u5355\u5143\u7684\u6bcf\u4e00\u8fb9\u8fdb\u884c\u4e09\u89d2\u5256\u5206\uff0c\u4ece\u800c\u751f\u6210\u4e00\u7ec4\u5b50\u4e09\u89d2\u5f62\u3002\u7136\u800c\uff0c\u4e00\u4e9b\u7814\u7a76\u4eba\u5458\u9009\u62e9\u4e86\u4e00\u79cd\u7565\u6709\u4e0d\u540c\u7684\u65b9\u6cd5\uff0c\u5c06\u5207\u5272\u5355\u5143\u5212\u5206\u4e3a\u5b50\u56db\u8fb9\u5f62\u3002\uff08\u56fe 8\uff09<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-29500\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-142832.png\" alt=\"\u5982\u4f55\u5c06\u5176\u5212\u5206\u4e3a\u6807\u51c6\u5b50\u5143\u7d20 \" width=\"821\" height=\"268\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-142832.png 1271w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-142832-300x98.png 300w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-142832-1024x334.png 1024w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-142832-430x140.png 430w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-142832-768x251.png 768w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-142832-62x20.png 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-142832-600x196.png 600w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-142832-725x237.png 725w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-142832-150x49.png 150w\" sizes=\"(max-width: 821px) 100vw, 821px\" \/><\/p>\n<p style=\"text-align: center;\">\u56fe 8\uff1a\u5982\u4f55\u5212\u5206\u4e3a\u6807\u51c6\u5b50\u5143\u7d20 [<a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0307904X09000560#bib19\" target=\"_blank\" rel=\"nofollow noopener\"><span style=\"color: #0000ff;\">\u53c2\u8003<\/span><\/a>]<\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u5bf9\u4e8e\u88ab\u88c2\u7eb9\u7a7f\u8fc7\u7684\u5355\u5143\uff0c\u5176\u6570\u503c\u79ef\u5206\u7a0b\u5e8f\u5982\u4e0b\uff1a<\/span><\/p>\n<ol style=\"text-align: justify;\">\n<li><span style=\"font-size: 14pt;\">\u6784\u5efa\u5fb7\u52b3\u5185\u4e09\u89d2\u5256\u5206\u4ee5\u521b\u5efa\u5b50\u5143\u7d20\uff1a<\/span><\/li>\n<\/ol>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u8fd9\u79cd\u8ba1\u7b97\u51e0\u4f55\u65b9\u6cd5\u5728\u8ba1\u7b97\u57df\u5185\u6784\u5efa\u4e09\u89d2\u5f62\uff08\u6216\u4e09\u7ef4\u7a7a\u95f4\u4e2d\u7684\u56db\u9762\u4f53\uff09\u7f51\u7edc\uff0c\u4ece\u800c\u786e\u4fdd\u6570\u503c\u8ba1\u7b97\u7684\u7a33\u5b9a\u6027\u548c\u7cbe\u5ea6\u3002\u8be5\u6280\u672f\u5bf9\u4e8e\u7cbe\u786e\u6a21\u62df\u7ed3\u6784\u4e2d\u7684\u4e0d\u8fde\u7eed\u6027\uff08\u4f8b\u5982\u88c2\u7eb9\uff09\u81f3\u5173\u91cd\u8981\u3002\u8be5\u8fc7\u7a0b\u9996\u5148\u8bc6\u522b\u201c\u5207\u5272\u5355\u5143\u201d\uff0c\u5373\u88c2\u7eb9\u7a7f\u8fc7\u7684\u5355\u5143\u3002\u8fd9\u4e9b\u5355\u5143\u9700\u8981\u8fdb\u4e00\u6b65\u7ec6\u5206\u4e3a\u66f4\u5c0f\u7684\u90e8\u5206\uff0c\u4ee5\u4fbf\u66f4\u7cbe\u786e\u5730\u6355\u6349\u88c2\u7eb9\u7684\u51e0\u4f55\u5f62\u72b6\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">Delaunay\u4e09\u89d2\u5256\u5206\u5c06\u8fd9\u4e9b\u5207\u5272\u5355\u5143\u7ec6\u5206\u4e3a\u66f4\u5c0f\u7684\u5b50\u5355\u5143\uff0c\u5728\u4e8c\u7ef4\u7a7a\u95f4\u4e2d\u901a\u5e38\u4e3a\u4e09\u89d2\u5f62\u3002\u8fd9\u79cd\u7cbe\u7ec6\u7684\u5b50\u5355\u5143\u7f51\u7edc\u80fd\u591f\u7d27\u5bc6\u5730\u8d34\u5408\u88c2\u7eb9\u8def\u5f84\uff0c\u5373\u4f7f\u5728\u5355\u4e2a\u5207\u5272\u5355\u5143\u5185\u90e8\u4e5f\u662f\u5982\u6b64\uff0c\u4ece\u800c\u5b9e\u73b0\u66f4\u7cbe\u786e\u7684\u79ef\u5206\u3002\u7136\u540e\uff0c\u5728\u6bcf\u4e2a\u5b50\u5355\u5143\u5185\u7b56\u7565\u6027\u5730\u653e\u7f6e\u79ef\u5206\u70b9\u4ee5\u6267\u884c\u9ad8\u65af\u6c42\u79ef\uff0c\u8fd9\u5bf9\u4e8e\u8bc4\u4f30\u521a\u5ea6\u77e9\u9635\u548c\u529b\u77e2\u91cf\u81f3\u5173\u91cd\u8981\u3002\u8fd9\u79cd\u653e\u7f6e\u65b9\u5f0f\u80fd\u591f\u7cbe\u786e\u5730\u53cd\u6620\u88c2\u7eb9\u7684\u4f4d\u7f6e\uff0c\u786e\u4fdd\u6269\u5c55\u6709\u9650\u5143\u6cd5\uff08X-FEM\uff09\u4e2d\u7684\u589e\u5f3a\u51fd\u6570\u80fd\u591f\u6b63\u786e\u5730\u6355\u6349\u4e0d\u8fde\u7eed\u6027\u7684\u884c\u4e3a\u3002.<\/span><\/p>\n<ol style=\"text-align: justify;\" start=\"2\">\n<li><span style=\"font-size: 14pt;\">\u5bf9\u4e8e\u6bcf\u4e2a\u5b50\u5143\u7d20\uff0c\u8ba1\u7b97\u9ad8\u65af\u70b9\u7684\u5750\u6807\u548c\u6743\u91cd\uff0c\u7136\u540e\u5c06\u5b83\u4eec\u8f6c\u6362\u5230\u539f\u59cb\u5143\u7d20\u7684\u7236\u5750\u6807\u7cfb\u4e2d\uff1a<\/span><\/li>\n<\/ol>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u5728\u6269\u5c55\u6709\u9650\u5143\u6cd5\uff08X-FEM\uff09\u4e2d\uff0c\u5f53\u88c2\u7eb9\u7a7f\u8fc7\u6709\u9650\u5143\u65f6\uff0c\u8be5\u6709\u9650\u5143\u4f1a\u88ab\u7ec6\u5206\u4e3a\u66f4\u5c0f\u7684\u5b50\u5355\u5143\uff0c\u4ee5\u6355\u6349\u6bcf\u4e2a\u533a\u57df\u7684\u72ec\u7279\u5c5e\u6027\u3002\u5229\u7528\u9ad8\u65af\u6c42\u79ef\u6cd5\u5728\u6bcf\u4e2a\u5b50\u5355\u5143\u5185\u7b56\u7565\u6027\u5730\u653e\u7f6e\u9ad8\u65af\u70b9\uff0c\u901a\u8fc7\u5c06\u6bcf\u4e2a\u9ad8\u65af\u70b9\u4e0e\u88c2\u7eb9\u7684\u7279\u5b9a\u51e0\u4f55\u5f62\u72b6\u5bf9\u9f50\uff0c\u4ece\u800c\u5b9e\u73b0\u5bf9\u8fd9\u4e9b\u4e0d\u89c4\u5219\u201c\u5207\u5272\u5355\u5143\u201d\u7684\u7cbe\u786e\u79ef\u5206\u3002\u8fd9\u79cd\u5c40\u90e8\u79ef\u5206\u65b9\u6cd5\u4f7f\u5f97\u6269\u5c55\u6709\u9650\u5143\u6cd5\u80fd\u591f\u5728\u88c2\u7eb9\u533a\u57df\u5468\u56f4\u5b9e\u73b0\u9ad8\u7cbe\u5ea6\u8ba1\u7b97\uff0c\u800c\u65e0\u9700\u7cbe\u7ec6\u7f51\u683c\u5212\u5206\u6216\u91cd\u65b0\u5212\u5206\u7f51\u683c\uff0c\u4ece\u800c\u9ad8\u6548\u5730\u5904\u7406\u590d\u6742\u7684\u88c2\u7eb9\u6269\u5c55\uff0c\u540c\u65f6\u4fdd\u6301\u53ef\u63a7\u7684\u8ba1\u7b97\u91cf\u3002.<\/span><\/p>\n<h2><span style=\"color: #ff6600;\">XFEM Abaqus | Abaqus XFEM Tutorial<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">Abaqus \u5229\u7528\u6269\u5c55\u6709\u9650\u5143\u6cd5 (XFEM) \u4e2d\u7684\u589e\u5f3a\u51fd\u6570\u6765\u7cbe\u786e\u6a21\u62df\u88c2\u7eb9\u5f15\u5165\u7684\u4e0d\u8fde\u7eed\u6027\u3002\u8fd9\u4e9b\u589e\u5f3a\u51fd\u6570\u5305\u62ec Heaviside \u51fd\u6570\uff08\u7528\u4e8e\u6355\u6349\u88c2\u7eb9\u8868\u9762\u7684\u4f4d\u79fb\u8dc3\u53d8\uff09\u548c\u8fd1\u88c2\u5c16\u51fd\u6570\uff08\u7528\u4e8e\u8868\u793a\u88c2\u7eb9\u5c16\u7aef\u7684\u5e94\u529b\u5947\u5f02\u6027\uff09\u3002\u8fd9\u4e9b\u51fd\u6570\u5171\u540c\u589e\u5f3a\u4e86\u6a21\u578b\u6a21\u62df\u88c2\u7eb9\u5468\u56f4\u5e94\u529b\u573a\u548c\u53d8\u5f62\u7684\u80fd\u529b\uff0c\u5373\u4f7f\u5728\u590d\u6742\u51e0\u4f55\u5f62\u72b6\u4e2d\u4e5f\u80fd\u83b7\u5f97\u9ad8\u7cbe\u5ea6\u7684\u7ed3\u679c\u3002\u6b64\u5916\uff0cXFEM Abaqus \u652f\u6301\u6269\u5c55\u6709\u9650\u5143\u5206\u6790\u4e2d\u7684\u5185\u805a\u884c\u4e3a\uff0c\u4f7f\u7528\u6237\u80fd\u591f\u6a21\u62df\u5177\u6709\u771f\u5b9e\u88c2\u7eb9\u840c\u751f\u548c\u6269\u5c55\u8fc7\u7a0b\u7684\u6750\u6599\u5206\u79bb\u548c\u65ad\u88c2\u8fc7\u7a0b\uff0c\u8fd9\u5bf9\u4e8e\u8106\u6027\u6750\u6599\u6216\u590d\u5408\u6750\u6599\u5c24\u4e3a\u91cd\u8981\u3002. <\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u5c06\u9010\u6b65\u4e86\u89e3\u5982\u4f55\u5728 2D \u548c 3D \u60c5\u51b5\u4e0b\u8fdb\u884c Abaqus XFEM \u88c2\u7eb9\u6a21\u62df\uff08Abaqus XFEM \u6559\u7a0b\uff09\u3002.<\/span><\/p>\n<h3>2D Static Edge Crack<\/h3>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u4f7f\u7528 X-FEM \u8fdb\u884c\u4e8c\u7ef4 (2D) \u9759\u6001\u8fb9\u7f18\u88c2\u7eb9\u5206\u6790\u662f\u65ad\u88c2\u529b\u5b66\u4e2d\u5e7f\u6cdb\u5e94\u7528\u7684\u65b9\u6cd5\uff0c\u5c24\u5176\u9002\u7528\u4e8e\u6613\u53d7\u8fb9\u7f18\u88c2\u7eb9\u5f71\u54cd\u7684\u6750\u6599\u548c\u90e8\u4ef6\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u6211\u4eec\u4e0d\u59a8\u8fd9\u6837\u89e3\u91ca\u3002\u5728\u9759\u6001\u8fb9\u7f18\u88c2\u7eb9\u6a21\u578b\u4e2d\uff0c\u88c2\u7eb9\u88ab\u89c6\u4e3a\u9759\u6b62\u7684\uff0c\u8fd9\u6837\u5c31\u53ef\u4ee5\u4e13\u6ce8\u4e8e\u5206\u6790\u73b0\u6709\u88c2\u7eb9\u5468\u56f4\u7684\u5e94\u529b\u3001\u5e94\u53d8\u548c\u4f4d\u79fb\u573a\uff0c\u800c\u65e0\u9700\u8003\u8651\u88c2\u7eb9\u6269\u5c55\u7684\u590d\u6742\u6027\u3002\u8fd9\u79cd\u65b9\u6cd5\u7b80\u5316\u4e86\u95ee\u9898\uff0c\u56e0\u4e3a\u51e0\u4f55\u5f62\u72b6\u548c\u7f51\u683c\u4fdd\u6301\u4e0d\u53d8\uff0c\u65e0\u9700\u786e\u5b9a\u88c2\u7eb9\u6269\u5c55\u65b9\u5411\u3001\u6269\u5c55\u589e\u91cf\u6216\u51e0\u4f55\u5f62\u72b6\u66f4\u65b0\u3002\u5de5\u7a0b\u5e08\u901a\u5e38\u4f7f\u7528\u9759\u6001\u88c2\u7eb9\u6a21\u578b\u6765\u8bc4\u4f30\u7ed3\u6784\u5728\u9759\u6001\u8f7d\u8377\u4e0b\u7684\u5b8c\u6574\u6027\uff0c\u8bc6\u522b\u88c2\u7eb9\u53ef\u80fd\u5f00\u59cb\u6269\u5c55\u7684\u4e34\u754c\u6761\u4ef6\u3002\u8fd9\u6709\u52a9\u4e8e\u66f4\u597d\u5730\u7406\u89e3\u5e94\u529b\u5f3a\u5ea6\u56e0\u5b50 (SIF)\u3001\u88c2\u7eb9\u5c16\u7aef\u5e94\u529b\u5206\u5e03\u548c\u53d8\u5f62\uff0c\u4ece\u800c\u5728\u4e0d\u589e\u52a0\u52a8\u6001\u5efa\u6a21\u8ba1\u7b97\u91cf\u7684\u60c5\u51b5\u4e0b\u786e\u4fdd\u5b89\u5168\u6027\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u6b64\u5916\uff0c\u9759\u6001\u88c2\u7eb9\u6a21\u578b\u7b26\u5408\u65ad\u88c2\u529b\u5b66\u539f\u7406\uff0c\u5176\u5e94\u529b\u5f3a\u5ea6\u56e0\u5b50\u548c\u80fd\u91cf\u91ca\u653e\u7387\u7684\u89e3\u662f\u5728\u88c2\u7eb9\u4e0d\u6269\u5c55\u7684\u5047\u8bbe\u4e0b\u63a8\u5bfc\u51fa\u6765\u7684\u3002\u8fd9\u4e9b\u89e3\u662f\u9a8c\u8bc1\u6570\u503c\u65b9\u6cd5\uff08\u4f8b\u5982 Abaqus XFEM\uff09\u5728\u6269\u5c55\u5230\u52a8\u6001\u573a\u666f\u4e4b\u524d\u7684\u91cd\u8981\u57fa\u51c6\u3002\u53ea\u6709\u5f53\u65bd\u52a0\u7684\u8f7d\u8377\u8d85\u8fc7\u6750\u6599\u7684\u65ad\u88c2\u97e7\u6027\u6216\u5728\u5faa\u73af\u548c\u75b2\u52b3\u6761\u4ef6\u4e0b\uff0c\u624d\u9700\u8981\u88c2\u7eb9\u6269\u5c55\u6a21\u578b\u3002\u5bf9\u4e8e\u5927\u591a\u6570\u521d\u59cb\u5206\u6790\uff0c\u9759\u6001\u6a21\u578b\u53ef\u4ee5\u6709\u6548\u5730\u63d0\u4f9b\u88c2\u7eb9\u662f\u5426\u4f1a\u5bf9\u7ed3\u6784\u6784\u6210\u76f4\u63a5\u5a01\u80c1\uff0c\u6216\u8005\u5728\u7ed9\u5b9a\u6761\u4ef6\u4e0b\u7ed3\u6784\u662f\u5426\u4fdd\u6301\u7a33\u5b9a\u7684\u4fe1\u606f\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u88c2\u7eb9\u4f4d\u4e8e\u7ed3\u6784\u8fb9\u7f18\uff0c\u901a\u5e38\u4f1a\u53d7\u5230\u8f7d\u8377\u4f5c\u7528\uff0c\u5bfc\u81f4\u88c2\u7eb9\u5c16\u7aef\u4ea7\u751f\u5e94\u529b\u96c6\u4e2d\u3002\u73b0\u5728\uff0c\u8ba9\u6211\u4eec\u4e00\u6b65\u6b65\u4e86\u89e3\u5982\u4f55\u4f7f\u7528 Abaqus \u8fdb\u884c XFEM \u88c2\u7eb9\u6a21\u62df\u3002.<\/span><\/p>\n<p><span style=\"font-size: 14pt;\"><strong>\u7b14\u8bb0\uff1a<\/strong> \u5728 Abaqus \u4e2d\u8f93\u5165\u7684\u6240\u6709\u503c\u90fd\u5c06\u91c7\u7528 SI \u5355\u4f4d\u5236\uff08m\u3001Pa \u7b49\uff09\u3002.<\/span><\/p>\n<ul>\n<li><strong><span style=\"font-size: 14pt;\">\u51e0\u4f55\u5b66<\/span><\/strong><\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u9996\u5148\uff0c\u6211\u4eec\u6765\u770b\u770b\u5982\u4f55\u521b\u5efa\u8fd9\u4e2a\u96f6\u4ef6\uff0c <strong>\u88c2\u7f1d<\/strong>\u6253\u5f00 Abaqus \u5e76\u5bfc\u822a\u81f3\u96f6\u4ef6\u6a21\u5757\u3002\u5355\u51fb\u201c\u521b\u5efa\u96f6\u4ef6\u201d\u5de5\u5177\uff0c\u6253\u5f00\u8be5\u5de5\u5177\u5e76\u5c06\u96f6\u4ef6\u547d\u540d\u4e3a\u201c\u677f\u201d\u3002\u5c06\u5efa\u6a21\u7a7a\u95f4\u8bbe\u7f6e\u4e3a\u201c\u4e8c\u7ef4\u5e73\u9762\u201d\uff0c\u7c7b\u578b\u8bbe\u7f6e\u4e3a\u201c\u53ef\u53d8\u5f62\u201d\uff0c\u57fa\u7840\u7279\u5f81\u8bbe\u7f6e\u4e3a\u201c\u58f3\u201d\uff0c\u8fd1\u4f3c\u5c3a\u5bf8\u8bbe\u7f6e\u4e3a 5\uff08\u56fe 9\uff09\u3002\u4f7f\u7528\u77e9\u5f62\u5de5\u5177\u7ed8\u5236\u4e00\u4e2a\u4ece\u5750\u6807 (-2, -2) \u5230 (2, 2) \u7684\u6b63\u65b9\u5f62\uff0c\u7136\u540e\u5355\u51fb\u201c\u5b8c\u6210\u201d\u3002\u201d<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-29501\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-143351.png\" alt=\"\u521b\u5efa\u90e8\u5206\" width=\"204\" height=\"393\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-143351.png 257w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-143351-156x300.png 156w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-143351-255x491.png 255w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-143351-62x119.png 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-143351-150x289.png 150w\" sizes=\"(max-width: 204px) 100vw, 204px\" \/><\/p>\n<p style=\"text-align: center;\">\u56fe 9\uff1a\u521b\u5efa\u96f6\u4ef6<\/p>\n<p><span style=\"font-size: 14pt;\">\u63a5\u4e0b\u6765\uff0c\u60a8\u8fd8\u9700\u8981\u521b\u5efa\u88c2\u7eb9\u51e0\u4f55\u5f62\u72b6\u3002\u518d\u6b21\u5355\u51fb\u201c\u521b\u5efa\u96f6\u4ef6\u201d\u5de5\u5177\u3002\u5c06\u96f6\u4ef6\u547d\u540d\u4e3a\u201c\u88c2\u7eb9\u201d\uff0c\u5c06\u5efa\u6a21\u7a7a\u95f4\u8bbe\u7f6e\u4e3a 2D \u5e73\u9762\uff0c\u7c7b\u578b\u8bbe\u7f6e\u4e3a\u53ef\u53d8\u5f62\uff0c\u57fa\u7840\u7279\u5f81\u8bbe\u7f6e\u4e3a\u7ebf\u6846\uff0c\u8fd1\u4f3c\u5c3a\u5bf8\u8bbe\u7f6e\u4e3a 5\u3002\u4ece\u5750\u6807 (-2, 0) \u5230 (-1, 0) \u7ed8\u5236\u4e00\u6761\u88c2\u7eb9\u7ebf\uff0c\u7136\u540e\u5355\u51fb\u201c\u5b8c\u6210\u201d\uff08\u56fe 10\uff09\u3002.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-29508\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-145641.png\" alt=\"\u521b\u5efa\u4e00\u4e2a\u7834\u89e3\u57df\u540d\" width=\"737\" height=\"368\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-145641.png 885w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-145641-300x150.png 300w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-145641-430x215.png 430w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-145641-768x384.png 768w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-145641-62x31.png 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-145641-600x300.png 600w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-145641-725x362.png 725w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-145641-150x75.png 150w\" sizes=\"(max-width: 737px) 100vw, 737px\" \/><\/p>\n<p style=\"text-align: center;\">\u56fe 10\uff1a\u521b\u5efa\u7834\u89e3\u57df<\/p>\n<ul>\n<li><strong><span style=\"font-size: 14pt;\">\u6750\u6599\u7279\u6027<\/span><\/strong><\/li>\n<\/ul>\n<p><span style=\"font-size: 14pt;\">\u63a5\u4e0b\u6765\uff0c\u6839\u636e\u56fe 11\uff0c\u5fc5\u987b\u8f93\u5165\u6750\u6599\u7684\u5f39\u6027\u7279\u6027\uff0c\u5c06\u6768\u6c0f\u6a21\u91cf\u8bbe\u7f6e\u4e3a 70 GPa\uff0c\u6cca\u677e\u6bd4\u8bbe\u7f6e\u4e3a 0.33\u3002.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-29502\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-143515.png\" alt=\"\u5e94\u7528\u6750\u6599\" width=\"448\" height=\"581\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-143515.png 515w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-143515-231x300.png 231w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-143515-379x491.png 379w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-143515-62x80.png 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-143515-150x195.png 150w\" sizes=\"(max-width: 448px) 100vw, 448px\" \/><\/p>\n<p style=\"text-align: center;\">\u56fe 11\uff1a\u6d82\u62b9\u6750\u6599<\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u4e4b\u540e\uff0c\u5fc5\u987b\u660e\u786e\u635f\u4f24\u7684\u65bd\u52a0\u65b9\u6cd5\u3002\u5982\u524d\u6240\u8ff0\uff0c\u201c\u7275\u5f15\u5206\u79bb\u5b9a\u5f8b\u635f\u4f24\u6a21\u578b\u201d\u662f\u80fd\u591f\u5f88\u597d\u5730\u6a21\u62df\u6750\u6599\u5185\u805a\u884c\u4e3a\u7684\u6a21\u578b\u4e4b\u4e00\u3002\u635f\u4f24\u7684\u65bd\u52a0\u65b9\u6cd5\u5982\u56fe12\u6240\u793a\u3002.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-29643\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2024\/11\/Crack-definition.png\" alt=\"\" width=\"803\" height=\"484\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Crack-definition.png 1164w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Crack-definition-300x181.png 300w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Crack-definition-1024x618.png 1024w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Crack-definition-430x259.png 430w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Crack-definition-768x463.png 768w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Crack-definition-62x37.png 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Crack-definition-600x362.png 600w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Crack-definition-725x437.png 725w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Crack-definition-150x90.png 150w\" sizes=\"(max-width: 803px) 100vw, 803px\" \/><\/p>\n<p style=\"text-align: center;\">\u56fe 12\uff1a\u5e94\u7528\u635f\u4f24\u5c5e\u6027<\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u8f6c\u5230\u201c\u673a\u68b0\u201d&gt;\u201c\u7275\u5f15\u5206\u79bb\u5b9a\u5f8b\u7684\u635f\u4f24\u201d&gt;\u201cMaxps\u635f\u4f24\u201d\uff08\u56fe12\uff09\uff0c\u8f93\u5165500 MPa\u3002\u5728\u201c\u5b50\u9009\u9879\u201d\u4e2d\uff0c\u9009\u62e9\u201c\u635f\u4f24\u6f14\u5316\u201d\uff0c\u5e76\u5c06\u201c\u5931\u6548\u4f4d\u79fb\u201d\u8bbe\u7f6e\u4e3a1\u3002\u5355\u51fb\u201c\u786e\u5b9a\u201d\u8fdb\u884c\u786e\u8ba4\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u5982\u56fe 13 \u6240\u793a\uff0c\u6211\u4eec\u9700\u8981\u4e3a\u6837\u54c1\u521b\u5efa\u4e00\u4e2a\u622a\u9762\uff0c\u5e76\u5c06\u6750\u6599\u8bbe\u7f6e\u4e3a\u201c\u94dd\u201d\uff0c\u542f\u7528\u201c\u5e73\u9762\u5e94\u529b\/\u5e94\u53d8\u539a\u5ea6\u201d\uff0c\u539a\u5ea6\u4e3a 1\u3002.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-29504\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-144317.png\" alt=\"\u9002\u7528\u90e8\u5206\" width=\"550\" height=\"322\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-144317.png 687w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-144317-300x176.png 300w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-144317-430x252.png 430w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-144317-62x36.png 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-144317-600x351.png 600w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-144317-150x88.png 150w\" sizes=\"(max-width: 550px) 100vw, 550px\" \/><\/p>\n<p style=\"text-align: center;\">\u56fe 13\uff1a\u5e94\u7528\u90e8\u5206<\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u00a0\u7136\u540e\uff0c\u70b9\u51fb\u201c\u5206\u914d\u7248\u5757\u201d\u5de5\u5177\uff0c\u9009\u62e9\u7248\u5757\uff0c\u7136\u540e\u70b9\u51fb\u201c\u5b8c\u6210\u201d\uff0c\u5c06\u7248\u5757\u5206\u914d\u7ed9\u7248\u9762\u3002.<\/span><\/p>\n<ul>\n<li><strong><span style=\"font-size: 14pt;\">\u96c6\u4f1a<\/span><\/strong><\/li>\n<\/ul>\n<p><span style=\"font-size: 14pt;\">\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u5fc5\u987b\u5c06\u677f\u548c\u88c2\u7f1d\u7ec4\u88c5\u8d77\u6765\uff0c\u4ee5\u4fbf\u6839\u636e\u56fe 14 \u5c06\u88c2\u7f1d\u653e\u7f6e\u5728\u6211\u4eec\u60f3\u8981\u7684\u4f4d\u7f6e\u3002\u56e0\u4e3a\u6211\u4eec\u521b\u5efa\u8fd9\u4e24\u4e2a\u90e8\u4ef6\u65f6\u4f7f\u7528\u7684\u5750\u6807\u53ef\u4ee5\u5c06\u5b83\u4eec\u7cbe\u786e\u5730\u653e\u7f6e\u5728\u6211\u4eec\u60f3\u8981\u7684\u4f4d\u7f6e\uff0c\u6240\u4ee5\u4e0d\u9700\u8981\u8fdb\u884c\u8c03\u6574\uff1b\u56e0\u6b64\uff0c\u6211\u4eec\u53ea\u9700\u8fdb\u5165\u88c5\u914d\u6a21\u5757\uff0c\u521b\u5efa\u8fd9\u4e24\u4e2a\u90e8\u4ef6\u7684\u5b9e\u4f8b\uff0c\u7136\u540e\u63a5\u53d7\u9ed8\u8ba4\u8bbe\u7f6e\u5373\u53ef\u3002.\u00a0<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-29509\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-145809.png\" alt=\"\u88c5\u914d\u90e8\u5206\" width=\"612\" height=\"433\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-145809.png 692w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-145809-300x212.png 300w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-145809-430x304.png 430w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-145809-62x44.png 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-145809-600x425.png 600w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-145809-150x106.png 150w\" sizes=\"(max-width: 612px) 100vw, 612px\" \/><\/p>\n<p style=\"text-align: center;\">\u56fe 14\uff1a\u88c5\u914d\u90e8\u5206<\/p>\n<ul>\n<li><strong><span style=\"font-size: 14pt;\">\u6b65<\/span><\/strong><\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u73b0\u5728\uff0c\u6211\u4eec\u9700\u8981\u521b\u5efa\u4e00\u4e2a\u5206\u6790\u6b65\u9aa4\u3002\u8fdb\u5165\u201c\u6b65\u9aa4\u201d\u6a21\u5757\uff0c\u521b\u5efa\u4e00\u4e2a\u540d\u4e3a\u201c\u9759\u6001\uff0c\u5e38\u89c4\u201d\u7684\u6b65\u9aa4\uff0c\u5e76\u63a5\u53d7\u9ed8\u8ba4\u8bbe\u7f6e\u3002\u63a5\u4e0b\u6765\uff0c\u70b9\u51fb\u201c\u5b57\u6bb5\u8f93\u51fa\u7ba1\u7406\u5668\u201d\u5de5\u5177\uff0c\u70b9\u51fb\u201c\u7f16\u8f91\u201d\u6309\u94ae\uff0c\u5c55\u5f00\u201c\u5931\u6548\/\u65ad\u88c2\u201d\u8f93\u51fa\u53d8\u91cf\uff0c\u5e76\u52fe\u9009\u56fe 15 \u4e2d\u7684\u53d8\u91cf\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-29644\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2024\/11\/output.png\" alt=\"\" width=\"488\" height=\"638\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/output.png 649w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/output-230x300.png 230w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/output-376x491.png 376w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/output-62x81.png 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/output-600x784.png 600w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/output-150x196.png 150w\" sizes=\"(max-width: 488px) 100vw, 488px\" \/><\/span><\/p>\n<p style=\"text-align: center;\">\u56fe 15\uff1a\u8bbe\u7f6e\u8f93\u51fa\u53d8\u91cf<\/p>\n<p>&nbsp;<\/p>\n<ul>\n<li><strong><span style=\"font-size: 14pt;\">\u76f8\u4e92\u4f5c\u7528<\/span><\/strong><\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u73b0\u5728\uff0c\u6211\u4eec\u9700\u8981\u5b9a\u4e49\u88c2\u7eb9\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u9700\u8981\u8fdb\u5165\u201c\u4ea4\u4e92\u201d\u6a21\u5757\uff0c\u6253\u5f00\u9876\u90e8\u7684\u201c\u7279\u6b8a\u201d\u83dc\u5355\uff0c\u7136\u540e\u6839\u636e\u56fe 16 \u5b9a\u4e49 XFEM \u88c2\u7eb9\u3002\u4f9d\u6b21\u9009\u62e9\u201c\u7279\u6b8a\u201d&gt;\u201c\u88c2\u7eb9\u201d&gt;\u201c\u521b\u5efa\u201d\uff0c\u5c06\u5176\u547d\u540d\u4e3a\u201cEdgeCrack\u201d\uff0c\u5e76\u5c06\u7c7b\u578b\u8bbe\u7f6e\u4e3a XFEM\uff08\u56fe 16\uff09\u3002\u70b9\u51fb\u201c\u7ee7\u7eed\u201d\uff0c\u73b0\u5728\u60a8\u9700\u8981\u9009\u62e9\u88c2\u7eb9\u533a\u57df\uff0c\u5728\u672c\u4f8b\u4e2d\uff0c\u60a8\u5e94\u8be5\u9009\u62e9\u6574\u4e2a\u6a21\u578b\uff1b\u63a5\u4e0b\u6765\uff0c\u52fe\u9009\u201c\u88c2\u7eb9\u4f4d\u7f6e\u201d\u9009\u9879\uff0c\u70b9\u51fb\u9f20\u6807\u5149\u6807\u56fe\u6807\uff08\u56fe 17\uff09\uff0c\u9009\u62e9\u88c2\u7eb9\u7ebf\uff0c\u70b9\u51fb\u201c\u5b8c\u6210\u201d\uff0c\u73b0\u5728\u60a8\u5df2\u6210\u529f\u5b9a\u4e49\u4e86 Abaqus \u4e2d\u7684 XFEM \u88c2\u7eb9\u3002.\u00a0<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-29510 size-full\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-145919.png\" alt=\"\u5982\u4f55\u5728\u8f6f\u4ef6\u4e2d\u5206\u914d\u7834\u89e3\u7a0b\u5e8f\" width=\"595\" height=\"307\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-145919.png 595w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-145919-300x155.png 300w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-145919-430x222.png 430w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-145919-62x32.png 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-145919-150x77.png 150w\" sizes=\"(max-width: 595px) 100vw, 595px\" \/><\/p>\n<p style=\"text-align: center;\">\u56fe 16\uff1a\u5982\u4f55\u5728\u8f6f\u4ef6\u4e2d\u5206\u914d\u7834\u89e3\u7a0b\u5e8f<\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-29646\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2024\/11\/Define-crack-location.png\" alt=\"\u786e\u5b9a\u88c2\u7f1d\u4f4d\u7f6e\" width=\"326\" height=\"346\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Define-crack-location.png 391w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Define-crack-location-283x300.png 283w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Define-crack-location-62x66.png 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Define-crack-location-150x159.png 150w\" sizes=\"(max-width: 326px) 100vw, 326px\" \/><\/span><\/p>\n<p style=\"text-align: center;\">\u56fe 17\uff1a\u786e\u5b9a\u88c2\u7eb9\u4f4d\u7f6e<\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u672c\u8282\u6700\u540e\u4e00\u6b65\u662f\u5b9a\u4e49\u88c2\u7eb9\u4e0e\u677f\u4e4b\u95f4\u7684\u76f8\u4e92\u4f5c\u7528\u3002\u70b9\u51fb\u201c\u521b\u5efa\u76f8\u4e92\u4f5c\u7528\u201d\u5de5\u5177\uff0c\u9009\u62e9\u521d\u59cb\u6b65\u9aa4\uff0c\u9009\u62e9\u201cXFEM \u88c2\u7eb9\u6269\u5c55\u201d\u7c7b\u578b\uff0c\u786e\u4fdd XFEM \u88c2\u7eb9\u8bbe\u7f6e\u4e3a\u201cEdgeCrack\u201d\uff0c\u7136\u540e\u70b9\u51fb\u201c\u786e\u5b9a\u201d\u5b8c\u6210\u64cd\u4f5c\u3002.<\/span><\/p>\n<ul>\n<li><strong><span style=\"font-size: 14pt;\">\u8fb9\u754c\u6761\u4ef6\u548c\u8f7d\u8377<\/span><\/strong><\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u8fdb\u5165\u201c\u52a0\u8f7d\u201d\u6a21\u5757\u3002\u9996\u5148\uff0c\u6839\u636e\u56fe18\u8bbe\u7f6e\u8fb9\u754c\u6761\u4ef6\uff1b\u53f3\u4e0b\u89d2\u56fa\u5b9a\uff08U1 = U2 = UR3 = 0\uff09\uff0c\u9876\u90e8\u7d27\u89d2\u4e5f\u5fc5\u987b\u6ee1\u8db3U1 = UR3 = 0\u3002\u7136\u540e\u5728\u9876\u90e8\u548c\u5e95\u90e8\u8fb9\u7f18\u65bd\u52a0\u538b\u529b\u8f7d\u8377\uff0c\u5927\u5c0f\u4e3a100000\uff0c\u5373100 kPa\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-29648\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-12-04-123425.png\" alt=\"\u8fb9\u754c\u6761\u4ef6\" width=\"440\" height=\"435\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-12-04-123425.png 593w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-12-04-123425-300x296.png 300w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-12-04-123425-430x425.png 430w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-12-04-123425-62x61.png 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-12-04-123425-150x148.png 150w\" sizes=\"(max-width: 440px) 100vw, 440px\" \/><\/span><\/p>\n<p style=\"text-align: center;\">\u56fe 18\uff1a\u8fb9\u754c\u6761\u4ef6\u548c\u8f7d\u8377<\/p>\n<ul>\n<li><strong><span style=\"font-size: 14pt;\">\u7f51<\/span><\/strong><\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u8981\u5bf9\u677f\u8fdb\u884c\u7f51\u683c\u5212\u5206\uff0c\u5c55\u5f00\u201c\u677f\u201d\uff0c\u7136\u540e\u9009\u62e9\u201c\u7f51\u683c\u5212\u5206\u201d\u3002\u9009\u62e9\u201c\u79cd\u5b50 &gt; \u6309\u7f16\u53f7\u5212\u5206\u8fb9\u201d\uff0c\u8f93\u5165 41 \u4f5c\u4e3a\u6bcf\u6761\u8fb9\u7684\u5143\u7d20\u6570\u91cf\uff0c\u7136\u540e\u5355\u51fb\u201c\u5b8c\u6210\u201d\uff08\u56fe 19\uff09\u3002.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-29505\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-144758.png\" alt=\"\u5e94\u7528\u7f51\u72b6\u79cd\u5b50\" width=\"603\" height=\"364\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-144758.png 778w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-144758-300x181.png 300w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-144758-430x260.png 430w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-144758-768x464.png 768w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-144758-62x37.png 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-144758-600x362.png 600w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-144758-725x438.png 725w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-144758-150x91.png 150w\" sizes=\"(max-width: 603px) 100vw, 603px\" \/><\/p>\n<p style=\"text-align: center;\">\u56fe 19\uff1a\u5e94\u7528\u7f51\u683c\u79cd\u5b50<\/p>\n<p><span style=\"font-size: 14pt;\">\u56fe 20 \u663e\u793a\u4e86\u7f51\u683c\u5212\u5206\u63a7\u5236\u65b9\u6cd5\u3002.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-29506 size-full\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-144955.png\" alt=\"\u7f51\u683c\u63a7\u5236\" width=\"650\" height=\"322\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-144955.png 650w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-144955-300x149.png 300w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-144955-430x213.png 430w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-144955-62x31.png 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-144955-600x297.png 600w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-28-144955-150x74.png 150w\" sizes=\"(max-width: 650px) 100vw, 650px\" \/><\/p>\n<p style=\"text-align: center;\">\u56fe 20\uff1a\u7f51\u683c\u63a7\u5236<\/p>\n<ul>\n<li><strong><span style=\"font-size: 14pt;\">\u5de5\u4f5c\u548c\u7ed3\u679c<\/span><\/strong><\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u521b\u5efa\u4f5c\u4e1a\u5e76\u8fd0\u884c\u6a21\u62df\u540e\uff0c\u5c31\u53ef\u4ee5\u67e5\u770b\u7ed3\u679c\u4e86\u3002\u8bf7\u67e5\u770b\u51af\u00b7\u7c73\u585e\u65af\u5e94\u529b\u7b49\u503c\u7ebf\u56fe\uff0c\u8981\u67e5\u770b\u88c2\u7eb9\u5206\u79bb\u60c5\u51b5\uff0c\u8bf7\u589e\u52a0\u53d8\u5f62\u6bd4\u4f8b\u56e0\u5b50\uff08\u56fe 21\uff09\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-29649\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-12-04-124611.png\" alt=\"XFEM\u88c2\u7eb9\" width=\"619\" height=\"493\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-12-04-124611.png 780w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-12-04-124611-300x239.png 300w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-12-04-124611-430x342.png 430w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-12-04-124611-768x611.png 768w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-12-04-124611-62x49.png 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-12-04-124611-600x478.png 600w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-12-04-124611-725x577.png 725w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-12-04-124611-150x119.png 150w\" sizes=\"(max-width: 619px) 100vw, 619px\" \/><\/span><\/p>\n<p style=\"text-align: center;\">\u56fe 21\uff1aXFEM \u88c2\u7eb9\u7ed3\u679c<\/p>\n<p><span style=\"font-size: 14pt;\">\u60a8\u53ef\u4ee5\u901a\u8fc7\u4ee5\u4e0b\u793a\u4f8b\u63d0\u5347\u60a8\u5728 XFEM Abaqus \u4e2d\u7684\u6280\u80fd\uff1a<\/span><\/p>\n<p><span style=\"font-size: 14pt; color: #0000ff;\"><span class=\"vc_tta-title-text\"><span style=\"color: #000000;\">Abaqus XFEM<\/span> <a href=\"https:\/\/caeassistant.com\/product\/abaqus-crack-growth-full-tutorial\/#1669191246214-de30ebf3-cd55\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #0000ff;\">\u6df7\u51dd\u571f\u677f\u4e09\u7ef4\u88c2\u7f1d\u6269\u5c55\u7684\u6a21\u62df<\/span><\/a><\/span><\/span><\/p>\n<p><span class=\"vc_tta-title-text\" style=\"font-size: 14pt; color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/caeassistant.com\/product\/abaqus-crack-growth-full-tutorial\/#1669191597652-291defe2-41b8\" target=\"_blank\" rel=\"noopener\">\u5229\u7528\u538b\u529b\u5bb9\u5668\u88c2\u7eb9\u6269\u5c55\u8fdb\u884c\u6a21\u62df<\/a> <span style=\"color: #000000;\">Abaqus XFEM<\/span><\/span><\/p>\n<h3>3D Static Edge Crack<\/h3>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u4e3a\u4e86\u5b9a\u4e49\u4e09\u7ef4\u51e0\u4f55\u5f62\u72b6\u548c\u88c2\u7eb9\u4f4d\u7f6e\uff0c\u8bf7\u521b\u5efa\u4e00\u4e2a\u5b9e\u4f53\u6a21\u578b\uff0c\u4f8b\u5982\u77e9\u5f62\u5757\u6216\u677f\u3002\u8be5\u88c2\u7eb9\u88ab\u5efa\u6a21\u4e3a\u4e00\u4e2a\u56fa\u5b9a\u8fb9\u7f18\u7279\u5f81\uff0c\u5176\u65b9\u5411\u4e0e\u65bd\u52a0\u7684\u8f7d\u8377\u5e73\u884c\u6216\u5782\u76f4\uff0c\u4ee5\u771f\u5b9e\u5730\u6a21\u62df\u7ed3\u6784\u8f7d\u8377\u6761\u4ef6\u4e0b\u7684\u88c2\u7eb9\u884c\u4e3a\u3002\u8bf7\u6ce8\u610f\u4ee5\u4e0b\u793a\u4f8b\uff0c\u8be5\u793a\u4f8b\u6f14\u793a\u4e86\u5982\u4f55\u4f7f\u7528\u6269\u5c55\u6709\u9650\u5143\u6cd5 (X-FEM) \u5728 Abaqus \u4e2d\u6a21\u62df\u4e09\u7ef4\u88c2\u7eb9\u6269\u5c55\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u8981\u5f00\u59cb\u5206\u6790\uff0c\u8bf7\u6253\u5f00 Abaqus\/CAE \u5e76\u521b\u5efa\u4e3b\u4f53\u96f6\u4ef6\u3002\u9996\u5148\uff0c\u5bfc\u822a\u81f3\u201c\u96f6\u4ef6\u201d\u9009\u9879\u5361\uff0c\u53cc\u51fb\u6253\u5f00\u5bf9\u8bdd\u6846\u3002\u5c06\u96f6\u4ef6\u547d\u540d\u4e3a\u201cSolid\u201d\uff0c\u5c06\u201c\u5efa\u6a21\u7a7a\u95f4\u201d\u8bbe\u7f6e\u4e3a\u201c3D\u201d\uff0c\u201c\u7c7b\u578b\u201d\u8bbe\u7f6e\u4e3a\u201c\u53ef\u53d8\u5f62\u201d\uff0c\u201c\u57fa\u7840\u7279\u5f81\u201d\u8bbe\u7f6e\u4e3a\u201cSolid\u201d\uff0c\u5e76\u5c06\u201c\u8fd1\u4f3c\u5c3a\u5bf8\u201d\u8bbe\u7f6e\u4e3a 5\uff08\u56fe 22\uff09\u3002\u5355\u51fb\u201c\u7ee7\u7eed\u201d\u3002\u4f7f\u7528\u77e9\u5f62\u5de5\u5177\uff0c\u7ed8\u5236\u4e00\u4e2a\u4ece\u5750\u6807 (-2, -2) \u5230 (2, 2) \u7684\u6b63\u65b9\u5f62\uff0c\u7136\u540e\u5355\u51fb\u201c\u5b8c\u6210\u201d\u3002\u8f93\u5165\u6df1\u5ea6 4 \u4ee5\u5b8c\u6210 3D \u5b9e\u4f53\u7684\u521b\u5efa\uff0c\u7136\u540e\u5355\u51fb\u201c\u786e\u5b9a\u201d\u3002.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-29537\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-30-100400.png\" alt=\"\u521b\u5efa\u4e3b\u4f53\u90e8\u5206\" width=\"228\" height=\"461\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-30-100400.png 272w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-30-100400-148x300.png 148w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-30-100400-243x491.png 243w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-30-100400-62x125.png 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-30-100400-150x303.png 150w\" sizes=\"(max-width: 228px) 100vw, 228px\" \/><\/p>\n<p style=\"text-align: center;\">\u56fe 22\uff1a\u521b\u5efa\u4e3b\u4f53\u90e8\u5206<\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u63a5\u4e0b\u6765\uff0c\u53cc\u51fb\u201c\u6750\u6599\u201d\u5e76\u5c06\u5176\u547d\u540d\u4e3a\u201c\u94dd\u201d\uff0c\u5b9a\u4e49\u6750\u6599\u3002\u5728\u201c\u673a\u68b0\u201d\u9009\u9879\u5361\u4e0b\uff0c\u8f6c\u5230\u201c\u5f39\u6027\u201d&gt;\u201c\u5f39\u6027\u201d\uff0c\u5e76\u5c06\u6768\u6c0f\u6a21\u91cf\u8bbe\u7f6e\u4e3a 70 GPa\uff0c\u6cca\u677e\u6bd4\u8bbe\u7f6e\u4e3a 0.33\u3002\u5bf9\u4e8e\u635f\u4f24\u51c6\u5219\uff0c\u5bfc\u822a\u81f3\u201c\u7275\u5f15\u5206\u79bb\u5b9a\u5f8b\u7684\u635f\u4f24\u201d&gt;\u201cMaxps \u635f\u4f24\u201d\uff0c\u5e76\u5c06\u635f\u4f24\u8d77\u59cb\u503c\u8bbe\u7f6e\u4e3a 500 MPa\u3002\u5728\u201c\u5b50\u9009\u9879\u201d\u4e0b\uff0c\u9009\u62e9\u201c\u635f\u4f24\u6f14\u5316\u201d\uff0c\u5e76\u5c06\u201c\u5931\u6548\u4f4d\u79fb\u201d\u8f93\u5165\u4e3a 1\uff08\u56fe 12\uff09\u3002\u5355\u51fb\u201c\u786e\u5b9a\u201d\u3002\u7136\u540e\uff0c\u5728\u201c\u622a\u9762\u201d\u9009\u9879\u5361\u4e2d\uff0c\u521b\u5efa\u4e00\u4e2a\u540d\u4e3a\u201c\u4e3b\u622a\u9762\u201d\u7684\u622a\u9762\uff0c\u6750\u6599\u4e3a\u201c\u94dd\u201d\uff0c\u539a\u5ea6\u4e3a 1\uff0c\u5e76\u5c06\u5176\u5e94\u7528\u4e8e\u5b9e\u4f53\u90e8\u4ef6\u3002\u901a\u8fc7\u9009\u62e9\u201c\u79cd\u5b50\u201d&gt;\u201c\u6309\u7f16\u53f7\u5212\u5206\u8fb9\u201d\uff0c\u5e76\u5728\u6bcf\u6761\u8fb9\u4e0a\u8bbe\u7f6e 21 \u4e2a\u5355\u5143\u6765\u8bbe\u7f6e\u7f51\u683c\uff0c\u7136\u540e\u5c06\u201c\u7f51\u683c\u63a7\u5236\u201d\u8bbe\u7f6e\u4e3a\u201c\u516d\u9762\u4f53\uff0c\u7ed3\u6784\u5316\u201d\u3002\u901a\u8fc7\u9009\u62e9\u201c\u7f51\u683c\u201d&gt;\u201c\u90e8\u4ef6\u201d\u5e76\u5355\u51fb\u201c\u662f\u201d\u6765\u5b8c\u6210\u7f51\u683c\u8bbe\u7f6e\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u8981\u5b9a\u4e49\u88c2\u7eb9\u533a\u57df\uff08\u88c2\u7eb9\u90e8\u5206\uff09\uff0c\u8bf7\u8fd4\u56de\u201c\u96f6\u4ef6\u201d\u83dc\u5355\u5e76\u521b\u5efa\u4e00\u4e2a\u540d\u4e3a\u201c\u88c2\u7eb9\u201d\u7684\u65b0\u96f6\u4ef6\u3002\u5c06\u201c\u5efa\u6a21\u7a7a\u95f4\u201d\u8bbe\u7f6e\u4e3a\u201c\u4e09\u7ef4\u5e73\u9762\u201d\uff0c\u201c\u7c7b\u578b\u201d\u8bbe\u7f6e\u4e3a\u201c\u53ef\u53d8\u5f62\u201d\uff0c\u201c\u57fa\u7840\u7279\u5f81\u201d\u8bbe\u7f6e\u4e3a\u201c\u58f3\u201d\uff0c\u5e76\u9009\u62e9\u201c\u62c9\u4f38\u201d\uff0c\u8fd1\u4f3c\u5c3a\u5bf8\u4e3a 5\u3002\u7ed8\u5236\u4e00\u6761\u4ece (-2, 0) \u5230 (-1, 0) \u7684\u76f4\u7ebf\uff0c\u5e76\u5c06\u6df1\u5ea6\u8bbe\u7f6e\u4e3a 4\u3002\u5728\u88c5\u914d\u4f53\u4e2d\u9009\u62e9\u201c\u88c2\u7eb9\u201d\u5e76\u5355\u51fb\u201c\u786e\u5b9a\u201d\uff0c\u5c06\u201c\u88c2\u7eb9\u201d\u5b9e\u4f8b\u6dfb\u52a0\u5230\u88c5\u914d\u4f53\u4e2d\u3002\u8981\u542f\u7528\u88c2\u7eb9\uff0c\u8bf7\u8f6c\u5230\u201c\u4ea4\u4e92\u201d&gt;\u201c\u7279\u6b8a\u201d&gt;\u201c\u88c2\u7eb9\u201d&gt;\u201c\u521b\u5efa\u201d\uff0c\u5e76\u5c06\u5176\u547d\u540d\u4e3a\u201cEdgeCrack\u201d\uff0c\u7c7b\u578b\u8bbe\u7f6e\u4e3a\u201cXFEM\u201d\uff0c\u5982\u56fe 16 \u6240\u793a\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u6700\u540e\uff0c\u50cf\u4e8c\u7ef4\u60c5\u51b5\u4e00\u6837\u65bd\u52a0\u8fb9\u754c\u6761\u4ef6\uff0c\u5728\u4f5c\u4e1a\u6a21\u5757\u4e2d\u8fdb\u884c\u7f51\u683c\u5212\u5206\u548c\u6c42\u89e3\u540e\uff0c\u5982\u56fe 23 \u6240\u793a\uff0c\u88c2\u7eb9\u5c16\u7aef\u533a\u57df\u7684\u5e94\u529b\u96c6\u4e2d\u73b0\u8c61\u6e05\u6670\u53ef\u89c1\uff0c\u6a21\u578b\u5f97\u4ee5\u6a21\u62df\u3002.<\/span><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-29538\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-30-101535.png\" alt=\"3D\u88c2\u7eb9\u6a21\u578b \" width=\"991\" height=\"355\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-30-101535.png 1200w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-30-101535-300x108.png 300w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-30-101535-1024x367.png 1024w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-30-101535-430x154.png 430w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-30-101535-768x275.png 768w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-30-101535-62x22.png 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-30-101535-600x215.png 600w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-30-101535-725x260.png 725w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/11\/Screenshot-2024-11-30-101535-150x54.png 150w\" sizes=\"(max-width: 991px) 100vw, 991px\" \/><\/p>\n<p style=\"text-align: center;\">\u56fe 23\uff1aAbaqus \u4e09\u7ef4\u6269\u5c55\u6709\u9650\u5143\u88c2\u7eb9\u6a21\u578b<\/p>\n<p><span style=\"font-size: 14pt;\">\u6b64\u5916\uff0c\u4e0b\u9762\u8fd8\u6709\u4e00\u4e9b 3D Abaqus XFEM \u7684\u793a\u4f8b\uff1a<\/span><\/p>\n<p><span style=\"font-size: 14pt; color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/caeassistant.com\/product\/fracture-in-abaqus\/#Workshop-4\" data-vc-accordion=\"\" data-vc-container=\".vc_tta-container\"><span class=\"vc_tta-title-text\">\u7ba1\u5185\u4e09\u7ef4\u88c2\u7eb9\u7684\u6a21\u62df<\/span><\/a><\/span><\/p>\n<p><span style=\"font-size: 14pt; color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/caeassistant.com\/product\/fracture-in-abaqus\/#Workshop-3\" data-vc-accordion=\"\" data-vc-container=\".vc_tta-container\"><span class=\"vc_tta-title-text\">\u4e09\u7ef4\u88c2\u7eb9\u6269\u5c55<\/span><\/a><\/span><\/p>\n<h2><span style=\"color: #ff6600;\">\u7ed3\u8bba<\/span><\/h2>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u5728\u9ad8\u7ea7\u5de5\u7a0b\u4eff\u771f\u4e2d\u5904\u7406\u5b58\u5728\u65ad\u88c2\u3001\u88c2\u7eb9\u6216\u4e0d\u8fde\u7eed\u6027\u7684\u6750\u6599\u9762\u4e34\u7740\u76f8\u5f53\u5927\u7684\u6311\u6218\u3002\u4f20\u7edf\u7684\u6709\u9650\u5143\u65b9\u6cd5 (FEM) \u7531\u4e8e\u9700\u8981\u8fdb\u884c\u590d\u6742\u7684\u7f51\u683c\u8c03\u6574\uff0c\u5f80\u5f80\u96be\u4ee5\u6a21\u62df\u590d\u6742\u7684\u65ad\u88c2\u3002\u4e3a\u4e86\u5e94\u5bf9\u8fd9\u4e9b\u6311\u6218\uff0c\u4eba\u4eec\u5f00\u53d1\u4e86\u4e00\u79cd\u6539\u8fdb\u7684\u65b9\u6cd5\uff1a\u6269\u5c55\u6709\u9650\u5143\u65b9\u6cd5 (XFEM)\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u6269\u5c55\u6709\u9650\u5143\u65b9\u6cd5 (XFEM) \u5728\u4f20\u7edf\u6709\u9650\u5143\u65b9\u6cd5 (FEM) \u7684\u57fa\u7840\u4e0a\uff0c\u5f15\u5165\u4e86\u4e13\u95e8\u7684\u589e\u5f3a\u51fd\u6570\u3002\u8fd9\u4e9b\u51fd\u6570\u80fd\u591f\u66f4\u7075\u6d3b\u5730\u6a21\u62df\u6750\u6599\u4e2d\u7684\u88c2\u7eb9\u548c\u4e0d\u8fde\u7eed\u6027\u3002\u56e0\u6b64\uff0cXFEM \u65e0\u9700\u7f51\u683c\u4e0e\u88c2\u7eb9\u8def\u5f84\u5b8c\u5168\u5bf9\u9f50\u5373\u53ef\u6a21\u62df\u88c2\u7eb9\uff0c\u4ece\u800c\u8282\u7701\u65f6\u95f4\u5e76\u63d0\u9ad8\u7cbe\u5ea6\u3002Abaqus \u8f6f\u4ef6\u5229\u7528\u4e86 XFEM \u7684\u8fd9\u4e00\u7279\u6027\uff0c\u4f7f\u5176\u6210\u4e3a\u4ece\u4e8b\u635f\u4f24\u5206\u6790\u3001\u591a\u76f8\u6750\u6599\u548c\u590d\u6742\u5931\u6548\u6a21\u578b\u7814\u7a76\u7684\u7528\u6237\u7684\u9ad8\u6548\u5de5\u5177\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u5728\u672c\u7bc7\u535a\u5ba2\u4e2d\uff0c\u6211\u4eec\u63a2\u8ba8\u4e86Abaqus XFEM\u7684\u6838\u5fc3\u6982\u5ff5\u548c\u5e94\u7528\u3002\u6211\u4eec\u5bf9\u6bd4\u4e86FEM\u548cXFEM\uff0c\u91cd\u70b9\u9610\u8ff0\u4e86XFEM\u5728\u88c2\u7eb9\u6269\u5c55\u6a21\u62df\u65b9\u9762\u7684\u589e\u5f3a\u529f\u80fd\u3002\u6587\u7ae0\u6df1\u5165\u63a2\u8ba8\u4e86XFEM\u80cc\u540e\u7684\u7406\u8bba\uff0c\u5305\u62ec\u5bcc\u96c6\u51fd\u6570\u3001\u5185\u805a\u88c2\u7eb9\u6a21\u62df\u548c\u6750\u6599\u754c\u9762\u3002\u5b9e\u9645\u5e94\u7528\u90e8\u5206\u5c06\u63d0\u4f9b\u8be6\u7ec6\u7684\u4e8c\u7ef4\u548c\u4e09\u7ef4\u88c2\u7eb9\u6269\u5c55\u5efa\u6a21\u6307\u5357\uff0c\u5c55\u793aAbaqus XFEM\u5728\u5e94\u5bf9\u5de5\u7a0b\u6311\u6218\u65b9\u9762\u5f3a\u5927\u7684\u6a21\u62df\u80fd\u529b\u3002.\u00a0<\/span><\/p>\n<p><em><span style=\"font-size: 14pt;\">\u4e00\u4e2a\u5c0f\u6280\u5de7\uff1a\u6709\u65f6\u5019\u5373\u4f7f\u662f\u6269\u5c55\u6709\u9650\u5143\u6cd5\uff08XFEM\uff09\u4e5f\u4e0d\u591f\u7528\uff01\u90a3\u4e48\u6211\u4eec\u8be5\u600e\u4e48\u529e\u5462\uff1f\u7b54\u6848\u662f\uff1a <a href=\"https:\/\/caeassistant.com\/blog\/phase-field-model-fracture\/\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #0000ff;\">\u76f8\u573a\u5efa\u6a21<\/span><\/a><\/span><\/em><em><span style=\"font-size: 14pt;\">.<\/span><\/em><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u8fd9\u00a0<a href=\"https:\/\/caeassistant.com\/\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #0000ff;\">CAE \u52a9\u624b<\/span><\/a>\u00a0\u6211\u4eec\u81f4\u529b\u4e8e\u6ee1\u8db3\u60a8\u6240\u6709\u7684 CAE \u9700\u6c42\uff0c\u60a8\u7684\u53cd\u9988\u5bf9\u6211\u4eec\u5b9e\u73b0\u8fd9\u4e00\u76ee\u6807\u81f3\u5173\u91cd\u8981\u3002\u5982\u679c\u60a8\u6709\u4efb\u4f55\u7591\u95ee\u6216\u9047\u5230\u4efb\u4f55\u95ee\u9898\uff0c\u8bf7\u968f\u65f6\u901a\u8fc7\u6211\u4eec\u7684\u793e\u4ea4\u5a92\u4f53\u8d26\u53f7\uff08\u5305\u62ec WhatsApp\uff09\u4e0e\u6211\u4eec\u8054\u7cfb\u3002.<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-size: 14pt;\">\u5982\u679c\u60a8\u9700\u8981\u6df1\u5165\u7684\u57f9\u8bad\uff0c\u6211\u4eec\u7684 Abaqus \u8bfe\u7a0b\u53ef\u4ee5\u6ee1\u8db3\u60a8\u7684\u9700\u6c42\u3002\u8bf7\u8bbf\u95ee\u6211\u4eec\u7684\u7f51\u7ad9\u3002 <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/caeassistant.com\/abaqus-course\/\" target=\"_blank\" rel=\"noopener\">Abaqus\u8bfe\u7a0b<\/a><\/span> \u7acb\u5373\u67e5\u627e\u6700\u9002\u5408\u60a8\u9700\u6c42\u7684\u8bfe\u7a0b\uff0c\u5e76\u5c06\u60a8\u7684 Abaqus \u77e5\u8bc6\u63d0\u5347\u5230\u65b0\u7684\u6c34\u5e73\uff01<\/span><\/p>\n<p><span style=\"font-size: 14pt;\">\u770b\u770b\u4f1a\u5f88\u6709\u5e2e\u52a9 <span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/help.3ds.com\/2022\/english\/dssimulia_established\/SIMULIA_Established_FrontmatterMap\/sim-r-DSDocAbaqus.htm?contextscope=all&amp;id=ec01bc8c83d743a6a30123c5a034edca\" target=\"_blank\" rel=\"noopener nofollow\"><strong>Abaqus \u6587\u6863<\/strong><\/a><\/span>\u00a0\u8981\u7406\u89e3\u4e3a\u4ec0\u4e48\u5728\u6ca1\u6709\u4efb\u4f55\u8f85\u52a9\u5de5\u5177\u7684\u60c5\u51b5\u4e0b\u542f\u52a8 Abaqus \u4eff\u771f\u4f1a\u5982\u6b64\u56f0\u96be\u00a0<span style=\"color: #0000ff;\"><a style=\"color: #0000ff;\" href=\"https:\/\/caeassistant.com\/free-abaqus-tutorial-training-video\/\" target=\"_blank\" rel=\"noopener\"><strong>Abaqus\u6559\u7a0b<\/strong><\/a><\/span>.\u00a0<\/span><\/p>","protected":false},"excerpt":{"rendered":"<p>In complex engineering fields, the Extended Finite Element Method (XFEM) has become a powerful tool for simulating issues like crack formation and propagation in materials without needing detailed mesh alignment. Unlike the traditional Finite Element Method (FEM), XFEM allows for modeling discontinuities within a material, such as cracks, by enriching standard finite element methods with [&hellip;]<\/p>","protected":false},"author":4,"featured_media":29748,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[67],"tags":[],"class_list":["post-29472","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-blog"],"_links":{"self":[{"href":"https:\/\/dev.caeassistant.com\/zh\/wp-json\/wp\/v2\/posts\/29472","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/dev.caeassistant.com\/zh\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/dev.caeassistant.com\/zh\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/dev.caeassistant.com\/zh\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/dev.caeassistant.com\/zh\/wp-json\/wp\/v2\/comments?post=29472"}],"version-history":[{"count":4,"href":"https:\/\/dev.caeassistant.com\/zh\/wp-json\/wp\/v2\/posts\/29472\/revisions"}],"predecessor-version":[{"id":49463,"href":"https:\/\/dev.caeassistant.com\/zh\/wp-json\/wp\/v2\/posts\/29472\/revisions\/49463"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/dev.caeassistant.com\/zh\/wp-json\/wp\/v2\/media\/29748"}],"wp:attachment":[{"href":"https:\/\/dev.caeassistant.com\/zh\/wp-json\/wp\/v2\/media?parent=29472"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/dev.caeassistant.com\/zh\/wp-json\/wp\/v2\/categories?post=29472"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/dev.caeassistant.com\/zh\/wp-json\/wp\/v2\/tags?post=29472"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}