{"id":21939,"date":"2024-05-04T10:51:44","date_gmt":"2024-05-04T07:21:44","guid":{"rendered":"https:\/\/caeassistant.com\/?p=21939"},"modified":"2026-06-03T13:07:45","modified_gmt":"2026-06-03T09:37:45","slug":"comsol-multiphysics","status":"publish","type":"post","link":"https:\/\/dev.caeassistant.com\/zh\/%e5%8d%9a%e5%ae%a2\/comsol-multiphysics\/","title":{"rendered":"COMSOL Multiphysics"},"content":{"rendered":"<p>\u5728\u89e3\u51b3\u5de5\u7a0b\u95ee\u9898\u65f6\uff0c\u4e3b\u8981\u6709\u4e09\u79cd\u65b9\u6cd5\uff1a\u5b9e\u9a8c\u65b9\u6cd5\u3001\u89e3\u6790\u89e3\u6cd5\u4ee5\u53ca\u4eff\u771f\u548c\u5efa\u6a21\u3002.<\/p>\n<p>\u6240\u6709\u5de5\u7a0b\u548c\u79d1\u5b66\u4e13\u4e1a\u7684\u5b66\u751f\uff0c\u65e0\u8bba\u5176\u5177\u4f53\u4e13\u4e1a\u662f\u4ec0\u4e48\uff0c\u5728\u5b66\u4e60\u8fc7\u7a0b\u4e2d\u90fd\u542c\u8bf4\u8fc7\u4eff\u771f\u548c\u5efa\u6a21\uff0c\u4f46\u4e0b\u9762\u5c06\u89e3\u91ca\u5176\u4f18\u52bf\u3002.<\/p>\n<h2>Advantages of simulation<\/h2>\n<p>\u5982\u4eca\uff0c\u4eff\u771f\u4f5c\u4e3a\u4e00\u79cd\u7ecf\u6d4e\u9ad8\u6548\u7684\u65b9\u6cd5\uff0c\u5df2\u6210\u4e3a\u89e3\u51b3\u5de5\u7a0b\u95ee\u9898\u6700\u91cd\u8981\u7684\u65b9\u6cd5\u4e4b\u4e00\uff0c\u751a\u81f3\u53ef\u4ee5\u8bf4\u662f\u6700\u91cd\u8981\u7684\u65b9\u6cd5\u3002\u65e0\u8bba\u662f\u5de5\u4e1a\u754c\u7684\u5de5\u7a0b\u5e08\u8fd8\u662f\u9ad8\u6821\u7684\u5b66\u751f\uff0c\u90fd\u5229\u7528\u4eff\u771f\u6765\u4e86\u89e3\u7cfb\u7edf\u7684\u8fd0\u884c\u7279\u6027\uff0c\u800c\u65e0\u9700\u524d\u5f80\u5b9e\u9a8c\u5ba4\u6216\u4f7f\u7528\u590d\u6742\u7684\u6570\u5b66\u65b9\u7a0b\u3002.<\/p>\n<h2>\u6570\u503c\u65b9\u6cd5<\/h2>\n<p>\u6570\u503c\u65b9\u6cd5\u662f\u6c42\u89e3\u5e38\u5fae\u5206\u65b9\u7a0b\u7ec4 (ODE) \u548c\u504f\u5fae\u5206\u65b9\u7a0b\u7ec4 (PDE) \u7684\u6709\u529b\u5de5\u5177\u3002\u968f\u7740\u8ba1\u7b97\u673a\u6280\u672f\u7684\u8fdb\u6b65\uff0c\u6570\u503c\u65b9\u6cd5\u5728\u5de5\u7a0b\u5e08\u548c\u7814\u7a76\u4eba\u5458\u4e2d\u53d8\u5f97\u975e\u5e38\u6d41\u884c\u3002\u76ee\u524d\u5df2\u6709\u8bb8\u591a\u6570\u503c\u65b9\u6cd5\uff0c\u4f8b\u5982\uff1a <a href=\"https:\/\/caeassistant.com\/blog\/finite-element-method\/\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #0000ff;\">\u6709\u9650\u5143\u6cd5<\/span><\/a> \u4f8b\u5982\u6709\u9650\u5143\u6cd5 (FEM)\u3001\u6709\u9650\u5dee\u5206\u6cd5 (FDM)\u3001\u6709\u9650\u4f53\u79ef\u6cd5 (FVM) \u548c\u683c\u5b50\u73bb\u5c14\u5179\u66fc\u6cd5 (LBM) \u7b49\u7b49\u3002.<\/p>\n<h2>Finite element method<\/h2>\n<p>\u504f\u5fae\u5206\u65b9\u7a0b\uff08PDE\uff09\u662f\u8bb8\u591a\u4e0e\u65f6\u95f4\u548c\u7a7a\u95f4\u76f8\u5173\u7684\u95ee\u9898\u7684\u63a7\u5236\u65b9\u7a0b\u3002\u5728\u5927\u91cf\u7684\u95ee\u9898\u548c\u51e0\u4f55\u5f62\u72b6\u4e2d\uff0c\u8fd9\u4e9b\u504f\u5fae\u5206\u65b9\u7a0b\u65e0\u6cd5\u89e3\u6790\u6c42\u89e3\u3002\u56e0\u6b64\uff0c\u901a\u5e38\u91c7\u7528\u57fa\u4e8e\u5404\u79cd\u79bb\u6563\u5316\u65b9\u6cd5\u7684\u8fd1\u4f3c\u5f62\u5f0f\u6765\u4ee3\u66ff\u89e3\u6790\u5f62\u5f0f\uff0c\u5e76\u5229\u7528\u6570\u503c\u65b9\u6cd5\u6c42\u89e3\u3002.<\/p>\n<p>\u5982\u4eca\uff0c\u6709\u9650\u5143\u6cd5\uff08FEM\uff09\u4f5c\u4e3a\u6700\u65e9\u7684\u6570\u503c\u65b9\u6cd5\u4e4b\u4e00\uff0c\u5df2\u5e7f\u6cdb\u5e94\u7528\u4e8e\u5b66\u672f\u754c\u548c\u5de5\u4e1a\u754c\u7684\u5404\u79cd\u95ee\u9898\u4e2d\u3002.<\/p>\n<h2><img fetchpriority=\"high\" decoding=\"async\" class=\"alignnone wp-image-22172 size-full\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2024\/05\/AdobeStock_296971359.jpg\" alt=\"\" width=\"1000\" height=\"519\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/05\/AdobeStock_296971359.jpg 1000w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/05\/AdobeStock_296971359-300x156.jpg 300w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/05\/AdobeStock_296971359-430x223.jpg 430w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/05\/AdobeStock_296971359-768x399.jpg 768w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/05\/AdobeStock_296971359-62x32.jpg 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/05\/AdobeStock_296971359-600x311.jpg 600w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/05\/AdobeStock_296971359-725x376.jpg 725w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/05\/AdobeStock_296971359-150x78.jpg 150w\" sizes=\"(max-width: 1000px) 100vw, 1000px\" \/><\/h2>\n<h2>What is COMSOL?<\/h2>\n<p>COMSOL Multiphysics \u4f5c\u4e3a\u4e00\u6b3e\u57fa\u4e8e\u6709\u9650\u5143\u7684\u8f6f\u4ef6\uff0c\u5728\u6a21\u62df\u79d1\u5b66\u73b0\u8c61\u548c\u5de5\u7a0b\u95ee\u9898\u65b9\u9762\u53d1\u6325\u7740\u91cd\u8981\u4f5c\u7528\u3002\u5b83\u662f\u4e00\u6b3e\u975e\u5e38\u4eba\u6027\u5316\u7684\u8f6f\u4ef6\uff0c\u4e3a\u7528\u6237\u63d0\u4f9b\u4e86\u826f\u597d\u7684\u56fe\u5f62\u5316\u754c\u9762\u3002\u4ee5\u4e0b\u6bb5\u843d\u5c06\u7b80\u8981\u4ecb\u7ecd\u8fd9\u6b3e\u5b9e\u7528\u7684\u8f6f\u4ef6\u3002.<\/p>\n<h3>History<\/h3>\n<p>COMSOL \u7684\u5386\u53f2\u53ef\u4ee5\u8ffd\u6eaf\u5230 FEMLAB\uff0c\u8fd9\u662f\u4e00\u4e2a\u57fa\u4e8e MATLAB \u7f16\u5199\u7684\u8f6f\u4ef6\u5305\u3002\u6b64\u540e\uff0cFEMLAB \u53d1\u5e03\u4e86\u591a\u4e2a\u7248\u672c\uff0c\u6bcf\u4e2a\u7248\u672c\u90fd\u6dfb\u52a0\u4e86\u4e00\u4e9b\u65b0\u7684\u8f6f\u4ef6\u5305\u3002\u6700\u65b0\u7248\u672c\u662f COMSOL 6.1\uff0c\u5176\u4e2d\u66f4\u65b0\u4e86\u4e00\u4e9b\u8f6f\u4ef6\u5305\uff0c\u5e76\u5728\u591a\u4e2a\u6a21\u5757\u4e2d\u6dfb\u52a0\u4e86\u4e00\u4e9b\u65b0\u529f\u80fd\u3002.<\/p>\n<h3>Multiphysics<\/h3>\n<p>COMSOL \u662f\u4e00\u6b3e\u591a\u7269\u7406\u573a\u4eff\u771f\u548c\u5e94\u7528\u8bbe\u8ba1\u73af\u5883\uff0c\u5b83\u5c06\u4eff\u771f\u7684\u6240\u6709\u6b65\u9aa4\u96c6\u6210\u5230\u4e00\u4e2a\u7528\u6237\u754c\u9762\u4e2d\u3002\u6b64\u5916\uff0cCOMSOL \u5141\u8bb8\u60a8\u50cf\u5728\u73b0\u5b9e\u4e16\u754c\u4e2d\u4e00\u6837\u8026\u5408\u5404\u79cd\u7269\u7406\u6548\u5e94\uff0c\u8fd9\u5c31\u662f\u6240\u8c13\u7684\u591a\u7269\u7406\u573a\u4eff\u771f\u3002\u8fd9\u610f\u5473\u7740 3 \u5230 4 \u79cd\u7269\u7406\u6548\u5e94\u53ef\u4ee5\u76f8\u4e92\u4f5c\u7528\uff0c\u800c\u6d89\u53ca\u7684\u7269\u7406\u573a\u6570\u91cf\u6ca1\u6709\u4efb\u4f55\u9650\u5236\u3002\u6d41\u4f53\u6d41\u52a8\u3001\u70ed\u4f20\u9012\u3001\u7ed3\u6784\u529b\u5b66\u3001\u58f0\u5b66\u3001\u7535\u78c1\u573a\u3001\u5316\u5b66\u53cd\u5e94\u5668\u3001\u7528\u6237\u81ea\u5b9a\u4e49\u65b9\u7a0b\u7b49\u90fd\u662f\u53ef\u4ee5\u5305\u542b\u5728\u5355\u4e2a\u6a21\u578b\u4e2d\u7684\u4e0d\u540c\u7269\u7406\u573a\uff0c\u5e76\u4e14\u53ef\u4ee5\u5728\u8f6f\u4ef6\u4e2d\u5c06\u5b83\u4eec\u8026\u5408\u5728\u4e00\u8d77\u3002.<\/p>\n<h3>Modules<\/h3>\n<p>COMSOL Multiphysics \u63d0\u4f9b\u4e86\u4e0d\u540c\u7684\u6a21\u5757\u6765\u5b9a\u4e49\u548c\u8ba1\u7b97\u5927\u91cf\u95ee\u9898\uff0c\u4f8b\u5982\u58f0\u5b66\u6a21\u5757\u3001\u4f20\u70ed\u6a21\u5757\u3001\u75b2\u52b3\u6a21\u5757\u7b49\u7b49\u3002.<\/p>\n<h4><strong><img decoding=\"async\" class=\"alignnone wp-image-22167 size-full\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2024\/05\/comsol-modules.png\" alt=\"Comsol\u6a21\u5757\" width=\"1299\" height=\"549\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/05\/comsol-modules.png 1299w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/05\/comsol-modules-300x127.png 300w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/05\/comsol-modules-1024x433.png 1024w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/05\/comsol-modules-430x182.png 430w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/05\/comsol-modules-768x325.png 768w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/05\/comsol-modules-62x26.png 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/05\/comsol-modules-600x254.png 600w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/05\/comsol-modules-725x306.png 725w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/05\/comsol-modules-150x63.png 150w\" sizes=\"(max-width: 1299px) 100vw, 1299px\" \/><\/strong><\/h4>\n<h4><strong>\u51e0\u4f55\u5b66<\/strong><\/h4>\n<p>\u4eba\u4eec\u666e\u904d\u8ba4\u4e3a COMSOL Multiphysics \u662f\u89e3\u51b3\u4e2d\u5c0f\u578b\u95ee\u9898\u7684\u7406\u60f3\u5de5\u5177\u3002\u6b64\u5916\uff0cCOMSOL \u662f\u4e00\u6b3e\u529f\u80fd\u5f3a\u5927\u7684\u6a21\u578b\u51e0\u4f55\u6784\u5efa\u8f6f\u4ef6\uff0c\u56e0\u4e3a\u5b83\u4f7f\u7528\u5b9e\u65f6\u901a\u4fe1\u6a21\u5757\uff08\u4f8b\u5982 Livelink\uff09\uff0c\u800c Livelink \u4e5f\u9002\u7528\u4e8e\u5176\u4ed6 CAD \u8f6f\u4ef6\u5305\u3002\u5b9a\u4e49\u51e0\u4f55\u5f62\u72b6\u7684\u65b9\u6cd5\u6709\u5f88\u591a\uff0c\u4f8b\u5982\u4f7f\u7528 CAD \u5de5\u5177\u680f\uff08\u4f8b\u5982 SolidWorks\u3001Inventor\u3001SpaceClaim\uff09\u3001MATLAB \u548c Excel\uff0c\u4ee5\u53ca\u56fe\u5f62\u5316\u8f6f\u4ef6\u73af\u5883\u4e2d\u7684\u751f\u6210\u5de5\u5177\u3002.<\/p>\n<h4><strong>\u6750\u6599\u00a0<\/strong><\/h4>\n<p>COMSOL Multiphysics \u62e5\u6709\u6d77\u91cf\u7684\u6750\u6599\u6570\u636e\uff08\u7ea6 12,763 \u79cd\uff09\u3002\u7528\u6237\u53ef\u4ee5\u901a\u8fc7\u6dfb\u52a0\u6750\u6599\u5e93\u6765\u8bbf\u95ee\u8fd9\u4e9b\u6750\u6599\u7684\u5c5e\u6027\u3002\u6b64\u5916\uff0c\u7528\u6237\u8fd8\u53ef\u4ee5\u63a7\u5236\u6a21\u578b\u7684\u6240\u6709\u5b9a\u4e49\u548c\u5c5e\u6027\u3002\u6bcf\u79cd\u6750\u6599\u6700\u591a\u53ef\u5b9a\u4e49 42 \u4e2a\u5173\u952e\u5c5e\u6027\u51fd\u6570\uff0c\u8fd9\u4e9b\u51fd\u6570\u901a\u5e38\u53d6\u51b3\u4e8e\u6e29\u5ea6\uff0c\u5728\u67d0\u4e9b\u60c5\u51b5\u4e0b\u53d6\u51b3\u4e8e\u5176\u4ed6\u53d8\u91cf\u3002\u7528\u6237\u53ef\u4ee5\u66f4\u6539\u5e76\u7ed8\u5236\u8fd9\u4e9b\u5c5e\u6027\u548c\u51fd\u6570\u3002\u6b64\u5916\uff0c\u8fd8\u53ef\u4ee5\u8bbf\u95ee\u6240\u6709\u6750\u6599\u5c5e\u6027\u6570\u636e\u7684\u5f15\u7528\u3002.<\/p>\n<h4><strong>Equations\u00a0<\/strong><\/h4>\n<p>COMSOL \u4e2d\u6240\u6709\u63a7\u5236\u65b9\u7a0b\u548c\u53d8\u91cf\u5747\u53ef\u8bbf\u95ee\uff0c\u4ee5\u4fbf\u7528\u6237\u80fd\u591f\u4e86\u89e3\u53d8\u91cf\u7684\u8ba1\u7b97\u65b9\u6cd5\u3001\u53d8\u91cf\u7684\u540d\u79f0\u548c\u6570\u91cf\u3001\u4ee5\u516c\u5f0f\u5f62\u5f0f\u8bbf\u95ee\u53d8\u91cf\u3001\u8f7b\u677e\u8bbf\u95ee\u53d8\u91cf\u548c\u5b9a\u4e49\uff0c\u4ee5\u53ca\u4f7f\u7528\u591a\u7269\u7406\u573a\u8026\u5408\u3002.<\/p>\n<h4><strong>\u7f51\u683c\u5212\u5206\u00a0<\/strong><\/h4>\n<p>\u51e0\u4f55\u4f53\u6784\u5efa\u5b8c\u6210\u540e\uff0c\u4e0b\u4e00\u4e2a\u5173\u952e\u6b65\u9aa4\u662f\u521b\u5efa\u7f51\u683c\u3002\u51e0\u4f55\u4f53\u7684\u5212\u5206\u65b9\u5f0f\u3001\u5212\u5206\u5355\u5143\u7684\u5f62\u72b6\u3001\u751f\u6210\u7f51\u683c\u4e2d\u5355\u5143\u7684\u6570\u91cf\u3001\u5927\u5c0f\u548c\u5bc6\u5ea6\uff0c\u4ee5\u53ca\u5355\u5143\u7684\u8d28\u91cf\uff0c\u90fd\u662f\u51b3\u5b9a\u95ee\u9898\u8ba1\u7b97\u7ed3\u679c\u7684\u5173\u952e\u56e0\u7d20\u3002\u5b83\u4eec\u4f1a\u5f71\u54cd\u95ee\u9898\u7684\u8fd0\u884c\u65f6\u95f4\u3001\u6240\u9700\u7684\u5185\u5b58\u91cf\u3001\u8282\u70b9\u95f4\u7684\u63d2\u503c\u3001\u7cbe\u5ea6\u4ee5\u53ca\u89e3\u7684\u6536\u655b\u6027\u3002\u56e0\u6b64\uff0c\u751f\u6210\u9ad8\u8d28\u91cf\u7684\u7f51\u683c\u662f\u4eff\u771f\u8fc7\u7a0b\u4e2d\u89e3\u51b3\u95ee\u9898\u7684\u6700\u91cd\u8981\u6b65\u9aa4\u4e4b\u4e00\u3002.<\/p>\n<p>COMSOL \u5141\u8bb8\u7528\u6237\u901a\u8fc7\u9009\u62e9\u7269\u7406\u573a\u63a7\u5236\u7f51\u683c\u7c7b\u578b\u548c\u7528\u6237\u63a7\u5236\u7f51\u683c\u7c7b\u578b\uff0c\u5206\u522b\u5b9e\u73b0\u81ea\u52a8\u548c\u624b\u52a8\u7f51\u683c\u5212\u5206\u3002\u65e0\u8bba\u9009\u62e9\u54ea\u79cd\u7f51\u683c\u7c7b\u578b\uff0c\u90fd\u53ef\u4ee5\u5229\u7528\u591a\u79cd\u7f51\u683c\u5212\u5206\u9009\u9879\u548c\u5de5\u5177\u6765\u83b7\u5f97\u6700\u4f73\u7f51\u683c\u3002.<\/p>\n<h4><strong>\u540e\u5904\u7406 <\/strong><\/h4>\n<p>COMSOL Multiphysics \u4e2d\u7684\u540e\u5904\u7406\u5de5\u5177\u662f\u7406\u89e3\u7ed3\u679c\u3001\u7406\u89e3\u7269\u7406\u73b0\u8c61\u4ee5\u53ca\u5411\u53d7\u4f17\u89e3\u91ca\u95ee\u9898\u7684\u9002\u5f53\u670d\u52a1\u3002.<\/p>\n<p>\u540e\u5904\u7406\u8f6f\u4ef6\u5305\u662f\u5f3a\u5927\u7684\u5de5\u5177\uff0c\u80fd\u591f\u5e2e\u52a9\u7528\u6237\u9a8c\u8bc1\u9884\u671f\u8bbe\u8ba1\uff0c\u786e\u4fdd\u6a21\u578b\u8bbe\u7f6e\u6b63\u786e\u4f53\u73b0\u4e86\u9884\u671f\u8bbe\u8ba1\uff0c\u5e76\u68c0\u67e5\u6a21\u578b\u7684\u51c6\u786e\u6027\u3002\u6b64\u5916\uff0c\u8fd9\u4e9b\u5de5\u5177\u8fd8\u80fd\u5e2e\u52a9\u7528\u6237\u66f4\u597d\u5730\u7406\u89e3\u8bbe\u8ba1\u539f\u7406\uff0c\u4ece\u800c\u51cf\u5c11\u539f\u578b\u5236\u4f5c\uff0c\u52a0\u5feb\u5f00\u53d1\u901f\u5ea6\u3002.<\/p>\n<h3><strong>Simulation workflow\u00a0<\/strong><\/h3>\n<p>\u4e3a\u4e86\u7b80\u8981\u8bf4\u660e\u5982\u4f55\u5728 COMSOL Multiphysics \u4e2d\u6a21\u62df\u95ee\u9898\uff0c\u53ef\u4ee5\u91c7\u53d6\u4ee5\u4e0b\u6b65\u9aa4\uff1a<\/p>\n<ul>\n<li>\u8bbe\u7f6e\u6a21\u578b\u73af\u5883<\/li>\n<li>\u521b\u5efa\u51e0\u4f55\u5bf9\u8c61<\/li>\n<li>\u6307\u5b9a\u6750\u6599\u5c5e\u6027<\/li>\n<li>\u5b9a\u4e49\u7269\u7406\u8fb9\u754c\u6761\u4ef6<\/li>\n<li>\u521b\u5efa\u7f51\u683c<\/li>\n<li>\u8fd0\u884c\u6a21\u62df<\/li>\n<li>\u540e\u5904\u7406\u7ed3\u679c<\/li>\n<\/ul>\n<h2><strong><img decoding=\"async\" class=\"wp-image-22168 size-full aligncenter\" src=\"https:\/\/caeassistant.com\/wp-content\/uploads\/2024\/05\/Basic-modeling-workflow-in-COMSOL-Multiphysics.png\" alt=\"\" width=\"643\" height=\"409\" srcset=\"https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/05\/Basic-modeling-workflow-in-COMSOL-Multiphysics.png 643w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/05\/Basic-modeling-workflow-in-COMSOL-Multiphysics-300x191.png 300w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/05\/Basic-modeling-workflow-in-COMSOL-Multiphysics-430x274.png 430w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/05\/Basic-modeling-workflow-in-COMSOL-Multiphysics-62x39.png 62w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/05\/Basic-modeling-workflow-in-COMSOL-Multiphysics-600x382.png 600w, https:\/\/dev.caeassistant.com\/wp-content\/uploads\/2024\/05\/Basic-modeling-workflow-in-COMSOL-Multiphysics-150x95.png 150w\" sizes=\"(max-width: 643px) 100vw, 643px\" \/><\/strong><\/h2>\n<p style=\"text-align: center;\">\u53c2\u8003\u8d44\u6599.<a href=\"https:\/\/www.researchgate.net\/figure\/Basic-modeling-workflow-in-COMSOL-Multiphysics_fig2_344173558\" target=\"_blank\" rel=\"noopener nofollow\"> 1<\/a><\/p>\n<h2><strong>Comparison between COMSOL, ANSYS, and ABAQUS\u00a0<\/strong><\/h2>\n<p>\u5728\u6bd4\u8f83\u6700\u65b0\u8f6f\u4ef6\u548c\u5f53\u524d\u4f7f\u7528\u7684\u8f6f\u4ef6\u65f6\uff0c\u6211\u4eec\u5fc5\u987b\u8bb0\u4f4f\uff0c\u6240\u6709\u8f6f\u4ef6\u90fd\u6709\u5176\u4f18\u7f3a\u70b9\uff0c\u5426\u5219\u5c31\u4f1a\u8fc7\u65f6\u3002\u56e0\u6b64\uff0c\u5728\u6bd4\u8f83\u8fd9\u4e09\u6b3e\u529f\u80fd\u5f3a\u5927\u7684\u8f6f\u4ef6\u65f6\uff0c\u5e94\u8003\u8651\u9879\u76ee\u7684\u76ee\u6807\u548c\u914d\u7f6e\u3002\u4ee5\u4e0b\u6bb5\u843d\u5c06\u7b80\u8981\u6bd4\u8f83 Abaqus\u3001Ansys \u548c COMSOL Multiphysics\u3002.<\/p>\n<h3>ANSYS &amp; COMSOL:<\/h3>\n<p>\u5982\u679c\u7528\u6237\u53ea\u60f3\u6784\u5efa\u4e00\u4e2a\u901a\u7528\u6a21\u578b\u5e76\u8282\u7701\u65f6\u95f4\uff0c\u90a3\u4e48\u4f7f\u7528 Ansys \u4f1a\u66f4\u5408\u9002\uff1b\u4f46\u662f\uff0c\u5982\u679c\u7528\u6237\u60f3\u8981\u8bbf\u95ee\u7269\u7406\u573a\u548c\u65b9\u7a0b\uff0c\u5e76\u4e14\u80fd\u591f\u8f7b\u677e\u5730\u4fee\u6539\u5b83\u4eec\uff08\u65e0\u8bba\u8017\u65f6\u591a\u4e45\uff09\uff0c\u90a3\u4e48\u4f7f\u7528 COMSOL Multiphysics \u4f1a\u66f4\u597d\u3002\u6b64\u5916\uff0cCOMSOL \u4f5c\u4e3a\u4e00\u6b3e\u591a\u7269\u7406\u573a\u8f6f\u4ef6\uff0c\u80fd\u591f\u8026\u5408\u4e0d\u540c\u7684\u7269\u7406\u73b0\u8c61\u5e76\u89e3\u51b3\u591a\u7269\u7406\u573a\u95ee\u9898\uff0c\u4ece\u800c\u53ef\u4ee5\u5904\u7406\u5404\u79cd\u5404\u6837\u7684\u95ee\u9898\u3002\u800c\u4e14\uff0cCOMSOL \u4e5f\u88ab\u8ba4\u4e3a\u662f\u7528\u6237\u6700\u53cb\u597d\u7684\u8f6f\u4ef6\u4e4b\u4e00\u3002.<\/p>\n<p>\u5728 CFD \u548c\u56fa\u4f53\u529b\u5b66\u9886\u57df\uff0c\u867d\u7136 Ansys \u529f\u80fd\u66f4\u5f3a\u5927\uff0c\u4f46 COMSOL \u4f1a\u5c3d\u6700\u5927\u52aa\u529b\u5347\u7ea7\u548c\u6539\u8fdb\u5176\u6c42\u89e3\u5668\uff0c\u4ee5\u63d0\u9ad8\u5176\u901f\u5ea6\u548c\u6548\u7387\u3002.<\/p>\n<h3>COMSOL &amp; ABAQUS:<\/h3>\n<p>\u5c3d\u7ba1 Abaqus \u88ab\u8ba4\u4e3a\u662f\u4e00\u6b3e\u975e\u5e38\u7cbe\u786e\u7684\u975e\u7ebf\u6027\u56fa\u4f53\u529b\u5b66\u95ee\u9898\u6c42\u89e3\u8f6f\u4ef6\uff0c\u4f46\u5b83\u65e0\u6cd5\u8026\u5408\u4e0d\u540c\u7684\u7269\u7406\u8fc7\u7a0b\u3002.<\/p>\n<p>\u6700\u540e\u9700\u8981\u6307\u51fa\u7684\u662f\uff0c\u5bf9\u4e8e\u4e86\u89e3 MATLAB \u7684\u7528\u6237\u6765\u8bf4\uff0cCOMSOL \u662f\u4e00\u4e2a\u5408\u9002\u7684\u3001\u4e0d\u9519\u7684\u5de5\u5177\uff0c\u56e0\u4e3a\u5b83\u80fd\u591f\u4e0e MATLAB \u8fde\u63a5\uff0c\u4ece\u800c\u63d0\u4f9b\u66f4\u9ad8\u6548\u7684\u7ed3\u679c\u3002.<\/p>\n<p><strong>\u00a0<\/strong><\/p>\n<h2>Applications of using COMSOL Multiphysics in industry<\/h2>\n<p>\u5982\u4eca\uff0c\u4e16\u754c\u5404\u5730\u4f17\u591a\u77e5\u540d\u4f01\u4e1a\u90fd\u5229\u7528 COMSOL Multiphysics \u6765\u63d0\u5347\u4ea7\u54c1\u8d28\u91cf\u3002\u4f8b\u5982\uff0c\u6ce2\u97f3\u3001\u82f1\u7279\u5c14\u3001\u534e\u4e3a\u3001NASA \u548c\u4e30\u7530\u7b49\u516c\u53f8\uff0c\u90fd\u5c06 COMSOL Multiphysics \u4f5c\u4e3a\u4e00\u6b3e\u4f18\u79c0\u7684\u4eff\u771f\u8f6f\u4ef6\u3002.<\/p>\n<p>\u4f8b\u5982\uff0c\u6ce2\u97f3\u516c\u53f8\u4f7f\u7528 COMSOL Multiphysics \u6765\u6a21\u62df\u98de\u673a\u590d\u5408\u6750\u6599\u7684\u70ed\u81a8\u80c0\u3002\u4ed6\u4eec\u5229\u7528 COMSOL \u6765\u8bc4\u4f30\u590d\u5408\u6750\u6599\u7ed3\u6784\u94fa\u5c42\u4e2d\u6bcf\u4e00\u5c42\u7684\u70ed\u5e94\u529b\u548c\u4f4d\u79fb\u3002.<\/p>\n<p>COMSOL Multiphysics \u5728\u9ad8\u79d1\u6280\u884c\u4e1a\u4e2d\u7684\u53e6\u4e00\u4e2a\u5e94\u7528\u5b9e\u4f8b\u662f\u7f8e\u56fd\u5b87\u822a\u5c40 (NASA) \u5229\u7528\u5b83\u5bf9\u706b\u7bad\u7cfb\u7edf\u7684\u71c3\u70e7\u5ba4\u6c14\u4f53\u52a8\u529b\u5b66\u548c\u5185\u90e8\u58f0\u5b66\u8fdb\u884c\u5efa\u6a21\u3002.<\/p>\n<p>\u6b64\u5916\uff0c\u7f8e\u56fd\u5b87\u822a\u5c40\uff08NASA\uff09\u7684\u4e00\u7ec4\u5de5\u7a0b\u5e08\u5f00\u53d1\u4e86\u4e00\u79cd\u8282\u6c34\u7cfb\u7edf\uff0c\u540d\u4e3a\u7b49\u6e29\u5757\u72b6\u5e72\u71e5\u5242\uff08IBD\uff09\u3002\u8be5\u7cfb\u7edf\u7528\u4e8e\u4ece\u5927\u6c14\u4e2d\u5438\u6536\u6c34\u5206\u5e76\u5faa\u73af\u5229\u7528\u3002\u8be5\u56e2\u961f\u4f7f\u7528COMSOL Multiphysics\u8f6f\u4ef6\u6a21\u62dfIBD\u4e2d\u7684\u6c14\u4f53\u6d41\u52a8\u548c\u70ed\u4f20\u9012\u3002COMSOL Multiphysics\u4f7f\u4ed6\u4eec\u80fd\u591f\u8ffd\u8e2a\u6d41\u901f\u3001\u6c34\u6d53\u5ea6\u548c\u538b\u529b\u6761\u4ef6\u3002\u4ed6\u4eec\u5229\u7528COMSOL\u4f18\u5316\u6a21\u578b\uff0c\u5e0c\u671b\u501f\u6b64\u8bbe\u8ba1\u51fa\u6bd4\u4ee5\u5f80\u4efb\u4f55\u65f6\u5019\u90fd\u66f4\u8fdc\u8ddd\u79bb\u8fd0\u884c\u7684\u7cfb\u7edf\u3002.<\/p>\n<div class=\"sabai-col-xs-3 sabai-col-sm-2 sabai-questions-side\">\n<h2 class=\"sabai-questions-voting-favorite\">\u6982\u62ec<\/h2>\n<\/div>\n<div class=\"sabai-col-xs-9 sabai-col-sm-10 sabai-questions-main\">\n<div class=\"sabai-questions-body\">\n<p>\u8fc7\u53bb\uff0c\u5de5\u7a0b\u5e08\u548c\u79d1\u5b66\u5bb6\u5728\u8bbe\u8ba1\u9879\u76ee\u65f6\u4e0d\u5f97\u4e0d\u505a\u51fa\u4e00\u4e9b\u5047\u8bbe\u3002\u7136\u800c\uff0c\u968f\u7740\u65f6\u95f4\u7684\u63a8\u79fb\uff0c\u8fd9\u4e9b\u5047\u8bbe\u53d8\u5f97\u8d8a\u6765\u8d8a\u7cbe\u786e\uff0c\u751a\u81f3\u9010\u6e10\u88ab\u6d88\u9664\uff0c\u4ece\u800c\u80fd\u591f\u83b7\u5f97\u66f4\u7cbe\u786e\u7684\u7ed3\u679c\u3002\u591a\u7269\u7406\u573a\u4eff\u771f\u5728\u8fd9\u4e00\u8fc7\u7a0b\u4e2d\u53d1\u6325\u7740\u5173\u952e\u4f5c\u7528\uff0c\u56e0\u4e3a\u5b83\u5c06\u76f8\u5173\u7684\u7269\u7406\u5e94\u7528\u8026\u5408\u5728\u4e00\u8d77\uff0c\u5f62\u6210\u5305\u542b\u6240\u6709\u5fc5\u8981\u56e0\u7d20\u7684\u5b8c\u6574\u6a21\u578b\u3002COMSOL Multiphysics \u662f\u4e00\u6b3e\u4eff\u771f\u8f6f\u4ef6\uff0c\u65e8\u5728\u901a\u8fc7\u6700\u5927\u9650\u5ea6\u5730\u51cf\u5c11\u7528\u6237\u5fc5\u987b\u505a\u51fa\u7684\u5047\u8bbe\uff0c\u63d0\u4f9b\u6700\u7cbe\u786e\u7684\u7ed3\u679c\u3002.<\/p>\n<p>COMSOL Multiphysics \u5141\u8bb8\u7528\u6237\u5b8c\u5168\u638c\u63a7\u5176\u6a21\u578b\uff0c\u8fd9\u4e0e\u5176\u4ed6\u4e00\u4e9b\u9650\u5236\u6027\u8f83\u5f3a\u7684\u4eff\u771f\u8f6f\u4ef6\u622a\u7136\u4e0d\u540c\u3002\u7528\u6237\u53ef\u4ee5\u5c06\u4efb\u610f\u6570\u91cf\u7684\u7269\u7406\u573a\u8026\u5408\u5728\u4e00\u8d77\uff0c\u5e76\u5c06\u81ea\u5b9a\u4e49\u7269\u7406\u573a\u548c\u8868\u8fbe\u5f0f\u76f4\u63a5\u8f93\u5165\u5230\u6a21\u578b\u4e2d\uff0c\u4ece\u800c\u5b9e\u73b0\u5176\u4ed6\u4eff\u771f\u8f6f\u4ef6\u53ef\u80fd\u65e0\u6cd5\u5b9e\u73b0\u6216\u96be\u4ee5\u5b9e\u73b0\u7684\u521b\u65b0\u529f\u80fd\u3002.<\/p>\n<p>COMSOL Multiphysics \u662f\u4e00\u6b3e\u7528\u4e8e\u6709\u9650\u5143\u5206\u6790\u3001\u4eff\u771f\u548c\u6c42\u89e3\u7269\u7406\u53ca\u5de5\u7a0b\u95ee\u9898\u7684\u8f6f\u4ef6\u5305\uff0c\u5c24\u5176\u9002\u7528\u4e8e\u591a\u7269\u7406\u573a\u8026\u5408\u73b0\u8c61\u3002\u8be5\u8f6f\u4ef6\u5305\u542b\u9002\u7528\u4e8e\u5404\u79cd\u57fa\u4e8e\u7269\u7406\u7684\u7cfb\u7edf\u548c\u504f\u5fae\u5206\u65b9\u7a0b\u7684\u7528\u6237\u754c\u9762\uff0c\u5e76\u4e3a\u673a\u68b0\u3001\u7535\u6c14\u3001\u6d41\u4f53\u3001\u58f0\u5b66\u548c\u5316\u5b66\u9886\u57df\u7684\u4e0d\u540c\u5e94\u7528\u63d0\u4f9b\u7edf\u4e00\u7684\u5de5\u4f5c\u6d41\u7a0b\u3002\u6b64\u5916\uff0c\u8be5\u8f6f\u4ef6\u8fd8\u63d0\u4f9b Java API \u548c MATLAB LiveLink\uff0c\u5e76\u53ef\u901a\u8fc7 LiveLink \u4e0e\u4e3b\u6d41 CAD \u8f6f\u4ef6\u8fdb\u884c\u5916\u90e8\u63a7\u5236\u3002\u5e94\u7528\u7a0b\u5e8f\u6784\u5efa\u5668\u5141\u8bb8\u7528\u6237\u4f7f\u7528\u62d6\u653e\u5de5\u5177\u6216\u7f16\u7a0b\u65b9\u5f0f\u521b\u5efa\u81ea\u5b9a\u4e49\u4eff\u771f\u5e94\u7528\u7a0b\u5e8f\u3002COMSOL Server \u662f\u4e00\u6b3e\u72ec\u7acb\u7684\u8f6f\u4ef6\uff0c\u7528\u4e8e\u7ba1\u7406\u4f01\u4e1a\u4e2d\u7684 COMSOL \u4eff\u771f\u5e94\u7528\u7a0b\u5e8f\u3002COMSOL \u7684\u6a21\u5757\u6839\u636e\u4e0d\u540c\u7684\u5e94\u7528\u9886\u57df\u8fdb\u884c\u5206\u7c7b\uff0c\u5305\u62ec\u7535\u6c14\u3001\u673a\u68b0\u3001\u6d41\u4f53\u3001\u58f0\u5b66\u3001\u5316\u5b66\u3001\u591a\u7528\u9014\u548c\u63a5\u53e3\u3002.<\/p>\n<p>COMSOL \u662f\u4e00\u6b3e\u65e8\u5728\u5c3d\u53ef\u80fd\u771f\u5b9e\u5730\u6a21\u62df\u73b0\u5b9e\u4e16\u754c\u573a\u666f\u7684\u4eff\u771f\u73af\u5883\u3002\u5b83\u901a\u8fc7\u591a\u7269\u7406\u573a\u4eff\u771f\u5b9e\u73b0\u8fd9\u4e00\u76ee\u6807\uff0c\u591a\u7269\u7406\u573a\u4eff\u771f\u6d89\u53ca\u591a\u79cd\u79d1\u5b66\u6a21\u578b\uff0c\u4f8b\u5982\u58f0\u5b66\u3001\u7535\u78c1\u5b66\u3001\u5316\u5b66\u53cd\u5e94\u3001\u529b\u5b66\u3001\u6d41\u4f53\u6d41\u52a8\u548c\u70ed\u4f20\u9012\u3002\u901a\u8fc7\u5c06\u6240\u6709\u8fd9\u4e9b\u6548\u5e94\u7eb3\u5165\u4eff\u771f\u73af\u5883\uff0cCOMSOL \u786e\u4fdd\u80fd\u591f\u6a21\u62df\u79d1\u5b66\u5bb6\u548c\u5de5\u7a0b\u5e08\u5728\u5de5\u4f5c\u4e2d\u9047\u5230\u7684\u5404\u79cd\u573a\u666f\u3002\u5176\u7528\u6237\u754c\u9762\u8bbe\u8ba1\u53cb\u597d\uff0c\u65e8\u5728\u63d0\u9ad8\u5de5\u4f5c\u6548\u7387\u3002\u5de5\u7a0b\u5e08\u4f7f\u7528\u8be5\u8f6f\u4ef6\u8bbe\u8ba1\u66f4\u4f18\u8d28\u7684\u4ea7\u54c1\uff0c\u79d1\u5b66\u5bb6\u8fdb\u884c\u65b0\u7684\u53d1\u73b0\uff0c\u533b\u751f\u7814\u7a76\u533b\u7597\u65b9\u6cd5\uff0c\u6559\u80b2\u5de5\u4f5c\u8005\u4e0e\u5b66\u751f\u4e92\u52a8\u3002\u4f7f\u7528 COMSOL \u591a\u7269\u7406\u573a\u4eff\u771f\u751f\u6210\u7684\u6a21\u62df\u7ed3\u679c\u5bf9\u73b0\u5b9e\u4e16\u754c\u6709\u7740\u663e\u8457\u7684\u5f71\u54cd\u3002.<\/p>\n<p>\u4ee5\u4e0b\u662f\u4e00\u4e2a COMSOL Multiphysics \u5728\u5b9e\u9645\u573a\u666f\u4e2d\u7684\u5e94\u7528\u793a\u4f8b\uff1a<\/p>\n<p>\u5728\u751f\u7269\u533b\u5b66\u5de5\u7a0b\u9886\u57df\uff0cCOMSOL Multiphysics \u5df2\u88ab\u7528\u4e8e\u6a21\u62df\u652f\u67b6\u7b49\u533b\u7597\u5668\u68b0\u7684\u6027\u80fd\u3002\u652f\u67b6\u662f\u4e00\u79cd\u63d2\u5165\u8840\u7ba1\u4ee5\u6cbb\u7597\u963b\u585e\u7684\u5c0f\u578b\u7ba1\u72b6\u88c5\u7f6e\u3002\u4e3a\u4e86\u786e\u4fdd\u652f\u67b6\u7684\u5b89\u5168\u6027\u548c\u6709\u6548\u6027\uff0c\u5de5\u7a0b\u5e08\u9700\u8981\u4e86\u89e3\u5176\u4e0e\u4eba\u4f53\u7684\u76f8\u4e92\u4f5c\u7528\u3002COMSOL Multiphysics \u53ef\u4ee5\u6a21\u62df\u652f\u67b6\u53ca\u5176\u5468\u56f4\u7ec4\u7ec7\u5185\u7684\u8840\u6d41\u548c\u673a\u68b0\u5e94\u529b\uff0c\u5e2e\u52a9\u5de5\u7a0b\u5e08\u4f18\u5316\u8bbe\u8ba1\u5e76\u6700\u5927\u9650\u5ea6\u5730\u964d\u4f4e\u5e76\u53d1\u75c7\u7684\u98ce\u9669\u3002.<\/p>\n<p>\u901a\u8fc7\u4f7f\u7528 COMSOL Multiphysics\uff0c\u5de5\u7a0b\u5e08\u53ef\u4ee5\u6a21\u62df\u8840\u6db2\u6d41\u52a8\u7684\u6d41\u4f53\u52a8\u529b\u5b66\u3001\u652f\u67b6\u4e0a\u7684\u673a\u68b0\u5e94\u529b\u4ee5\u53ca\u5468\u56f4\u7ec4\u7ec7\u7684\u751f\u7269\u5b66\u53cd\u5e94\u3002\u8fd9\u4f7f\u4ed6\u4eec\u80fd\u591f\u9884\u6d4b\u652f\u67b6\u5728\u4f53\u5185\u7684\u6027\u80fd\uff0c\u5e76\u8fdb\u884c\u8bbe\u8ba1\u8c03\u6574\u4ee5\u4f18\u5316\u5176\u6027\u80fd\u5e76\u6700\u5927\u9650\u5ea6\u5730\u964d\u4f4e\u5e76\u53d1\u75c7\u7684\u98ce\u9669\u3002.<\/p>\n<p>COMSOL Multiphysics \u662f\u4e00\u6b3e\u4f7f\u7528\u6709\u9650\u5143\u65b9\u6cd5\u6c42\u89e3\u590d\u6742\u7269\u7406\u95ee\u9898\u7684\u8f6f\u4ef6\u5305\u3002\u5176\u5de5\u4f5c\u539f\u7406\u5982\u4e0b\uff1a<\/p>\n<ol>\n<li>\u95ee\u9898\u5b9a\u4e49\uff1a\u7528\u6237\u5b9a\u4e49\u4ed6\u4eec\u60f3\u8981\u89e3\u51b3\u7684\u95ee\u9898\uff0c\u5305\u62ec\u51e0\u4f55\u5f62\u72b6\u3001\u7269\u7406\u7279\u6027\u548c\u8fb9\u754c\u6761\u4ef6\u3002.<\/li>\n<li>\u7f51\u683c\u5212\u5206\uff1a\u8be5\u8f6f\u4ef6\u81ea\u52a8\u751f\u6210\u7f51\u683c\uff0c\u7f51\u683c\u662f\u7531\u4e00\u7ec4\u79bb\u6563\u7684\u70b9\u548c\u5355\u5143\u7ec4\u6210\uff0c\u4ee3\u8868\u95ee\u9898\u7684\u51e0\u4f55\u5f62\u72b6\u3002.<\/li>\n<li>\u57fa\u4e8e\u7269\u7406\u7684\u6a21\u5757\uff1a\u7528\u6237\u53ef\u4ee5\u9009\u62e9\u4e0e\u5f85\u89e3\u51b3\u95ee\u9898\u76f8\u5173\u7684\u57fa\u4e8e\u7269\u7406\u7684\u6a21\u5757\u3002\u8fd9\u4e9b\u6a21\u5757\u6db5\u76d6\u4e0d\u540c\u7684\u7269\u7406\u73b0\u8c61\uff0c\u4f8b\u5982\u7535\u78c1\u5b66\u3001\u6d41\u4f53\u52a8\u529b\u5b66\u3001\u70ed\u4f20\u9012\u548c\u7ed3\u6784\u529b\u5b66\u3002.<\/li>\n<li>\u8026\u5408\uff1a\u7528\u6237\u53ef\u4ee5\u5c06\u591a\u4e2a\u57fa\u4e8e\u7269\u7406\u7684\u6a21\u5757\u8026\u5408\u5728\u4e00\u8d77\uff0c\u4ee5\u89e3\u51b3\u591a\u7269\u7406\u573a\u95ee\u9898\u3002\u8fd9\u4f7f\u4ed6\u4eec\u80fd\u591f\u6a21\u62df\u4e0d\u540c\u7269\u7406\u73b0\u8c61\u4e4b\u95f4\u7684\u76f8\u4e92\u4f5c\u7528\u3002.<\/li>\n<li>\u6c42\u89e3\u5668\uff1a\u8be5\u8f6f\u4ef6\u4f7f\u7528\u6570\u503c\u65b9\u6cd5\u6c42\u89e3\u63cf\u8ff0\u95ee\u9898\u7684\u65b9\u7a0b\u7ec4\u3002\u89e3\u4ee5\u7f51\u683c\u4e0a\u6bcf\u4e2a\u70b9\u7684\u4e00\u7ec4\u53d8\u91cf\u8868\u793a\u3002.<\/li>\n<li>\u540e\u5904\u7406\uff1a\u7528\u6237\u53ef\u4ee5\u4f7f\u7528\u5404\u79cd\u540e\u5904\u7406\u5de5\u5177\uff08\u5982\u56fe\u8868\u3001\u52a8\u753b\u548c\u8868\u683c\uff09\u6765\u53ef\u89c6\u5316\u548c\u5206\u6790\u6a21\u62df\u7ed3\u679c\u3002.<\/li>\n<\/ol>\n<p>COMSOL Multiphysics \u5141\u8bb8\u7528\u6237\u4f7f\u7528\u7edf\u4e00\u7684\u8f6f\u4ef6\u73af\u5883\u6c42\u89e3\u8de8\u591a\u4e2a\u9886\u57df\u7684\u590d\u6742\u7269\u7406\u95ee\u9898\u3002\u8be5\u8f6f\u4ef6\u63d0\u4f9b\u4e00\u7cfb\u5217\u53ef\u8026\u5408\u7684\u7269\u7406\u6a21\u5757\uff0c\u7528\u4e8e\u6c42\u89e3\u591a\u7269\u7406\u573a\u95ee\u9898\uff0c\u5e76\u91c7\u7528\u6570\u503c\u65b9\u6cd5\u6c42\u89e3\u63cf\u8ff0\u95ee\u9898\u7684\u65b9\u7a0b\u7ec4\u3002\u4eff\u771f\u7ed3\u679c\u53ef\u4f7f\u7528\u4e00\u7cfb\u5217\u540e\u5904\u7406\u5de5\u5177\u8fdb\u884c\u53ef\u89c6\u5316\u548c\u5206\u6790\u3002.<\/p>\n<\/div>\n<\/div>\n<p>\u60a8\u77e5\u9053\u53ef\u4ee5\u5728 COMSOL \u4e2d\u4f7f\u7528 Abaqus \u5b50\u7a0b\u5e8f\u5417\uff1f\u8bf7\u9605\u8bfb\u6211\u4eec\u7684\u535a\u5ba2\u4e86\u89e3\u66f4\u591a\u4fe1\u606f\uff1a<\/p>\n<p><span style=\"color: #0000ff;\" data-sheets-root=\"1\"><a class=\"in-cell-link\" style=\"color: #0000ff;\" href=\"https:\/\/caeassistant.com\/blog\/umat4comsol-bridging-abaqus-comsol\/\" target=\"_blank\" rel=\"noopener\">UMAT4COMSOL\uff1a\u8fde\u63a5 Abaqus UMAT \u548c COMSOL Multiphysics<\/a><\/span><\/p>\n<p>\u5982\u679c\u60a8\u5bf9 Abaqus \u8f6f\u4ef6\u611f\u5174\u8da3\uff0c\u6211\u4eec\u8fd9\u91cc\u5e94\u6709\u5c3d\u6709\u3002\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 \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<\/p>","protected":false},"excerpt":{"rendered":"<p>When it comes to solving engineering problems, there are three main approaches: experimental methods, analytical solutions, and simulation and modeling. All engineering and science students regardless of their specific major have heard about simulation and modeling during their education, however, in the following, its advantages are explained. Advantages of simulation These days, simulation as an [&hellip;]<\/p>","protected":false},"author":250,"featured_media":21953,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[67],"tags":[],"class_list":["post-21939","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\/21939","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\/250"}],"replies":[{"embeddable":true,"href":"https:\/\/dev.caeassistant.com\/zh\/wp-json\/wp\/v2\/comments?post=21939"}],"version-history":[{"count":4,"href":"https:\/\/dev.caeassistant.com\/zh\/wp-json\/wp\/v2\/posts\/21939\/revisions"}],"predecessor-version":[{"id":49161,"href":"https:\/\/dev.caeassistant.com\/zh\/wp-json\/wp\/v2\/posts\/21939\/revisions\/49161"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/dev.caeassistant.com\/zh\/wp-json\/wp\/v2\/media\/21953"}],"wp:attachment":[{"href":"https:\/\/dev.caeassistant.com\/zh\/wp-json\/wp\/v2\/media?parent=21939"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/dev.caeassistant.com\/zh\/wp-json\/wp\/v2\/categories?post=21939"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/dev.caeassistant.com\/zh\/wp-json\/wp\/v2\/tags?post=21939"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}