{"id":391139,"date":"2024-10-24T02:07:12","date_gmt":"2024-10-24T02:07:12","guid":{"rendered":"https:\/\/innovationspace.ansys.com\/forum\/forums\/reply\/391139\/"},"modified":"2024-10-24T02:07:12","modified_gmt":"2024-10-24T02:07:12","slug":"391139","status":"publish","type":"reply","link":"https:\/\/innovationspace.ansys.com\/forum\/forums\/reply\/391139\/","title":{"rendered":"Reply To: Geometric stiffness matrix for solid elements"},"content":{"rendered":"<p>&lt;p&gt;Hello, thank you for your reply. I have a question: the method for calculating the geometric stiffness matrix described in Section 3.4 &#8220;Stress Stiffening&#8221; of the ANSYS help documentation is consistent with the literature by Bathe et al., which leads to the presence of &#8220;zero&#8221; elements in the calculated results. Could you clarify how the APDL method you mentioned derives the geometric stiffness matrix using numerical integration? We found that the formulas derived in Section 3.5 &#8220;Linear Buckling Analysis&#8221; of the material provided by Borst, &#8220;Non\u2010Linear Finite Element Analysis of Solids and Structures,&#8221; are exactly the same as those provided by Bathe et al.&lt;\/p&gt;&lt;p&gt;<img decoding=\"async\" src=\"https:\/\/innovationspace.ansys.com\/forum\/wp-content\/uploads\/sites\/2\/2024\/10\/24-10-2024-1729735600-mceclip1.png\" \/>&lt;\/p&gt;&lt;p&gt;<img decoding=\"async\" src=\"https:\/\/innovationspace.ansys.com\/forum\/wp-content\/uploads\/sites\/2\/2024\/10\/24-10-2024-1729735613-mceclip2.png\" \/>&lt;\/p&gt;&lt;p&gt;&nbsp;&lt;\/p&gt;&lt;p&gt;&nbsp;&lt;\/p&gt;&lt;p&gt;&nbsp;&lt;\/p&gt;<\/p>\n","protected":false},"template":"","class_list":["post-391139","reply","type-reply","status-publish","hentry"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 4.9.10 - aioseo.com -->\n\t<meta name=\"description\" content=\"Hello, thank you for your reply. I have a question: the method for calculating the geometric stiffness matrix described in Section 3.4 &quot;Stress Stiffening&quot; of the ANSYS help documentation is consistent with the literature by Bathe et al., which leads to the presence of &quot;zero&quot; elements in the calculated results. Could you clarify how the\" \/>\n\t<meta name=\"robots\" content=\"max-image-preview:large\" \/>\n\t<link rel=\"canonical\" href=\"https:\/\/innovationspace.ansys.com\/forum\/forums\/reply\/391139\/\" \/>\n\t<meta name=\"generator\" content=\"All in One SEO (AIOSEO) 4.9.10\" \/>\n\t\t<meta property=\"og:locale\" content=\"en_US\" \/>\n\t\t<meta property=\"og:site_name\" content=\"Ansys Learning Forum | Ansys Innovation Space\" \/>\n\t\t<meta property=\"og:type\" content=\"article\" \/>\n\t\t<meta property=\"og:title\" content=\"Reply To: Geometric stiffness matrix for solid elements | Ansys Learning Forum\" \/>\n\t\t<meta property=\"og:description\" content=\"Hello, thank you for your reply. I have a question: the method for calculating the geometric stiffness matrix described in Section 3.4 &quot;Stress Stiffening&quot; of the ANSYS help documentation is consistent with the literature by Bathe et al., which leads to the presence of &quot;zero&quot; elements in the calculated results. Could you clarify how the\" \/>\n\t\t<meta property=\"og:url\" content=\"https:\/\/innovationspace.ansys.com\/forum\/forums\/reply\/391139\/\" \/>\n\t\t<meta property=\"og:image\" content=\"https:\/\/innovationspace.ansys.com\/forum\/wp-content\/uploads\/sites\/2\/2024\/10\/24-10-2024-1729735600-mceclip1.png\" \/>\n\t\t<meta property=\"og:image:secure_url\" content=\"https:\/\/innovationspace.ansys.com\/forum\/wp-content\/uploads\/sites\/2\/2024\/10\/24-10-2024-1729735600-mceclip1.png\" \/>\n\t\t<meta property=\"article:published_time\" content=\"2024-10-24T02:07:12+00:00\" \/>\n\t\t<meta property=\"article:modified_time\" content=\"2024-10-24T02:07:12+00:00\" \/>\n\t\t<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n\t\t<meta name=\"twitter:title\" content=\"Reply To: Geometric stiffness matrix for solid elements | Ansys Learning Forum\" \/>\n\t\t<meta name=\"twitter:description\" content=\"Hello, thank you for your reply. I have a question: the method for calculating the geometric stiffness matrix described in Section 3.4 &quot;Stress Stiffening&quot; of the ANSYS help documentation is consistent with the literature by Bathe et al., which leads to the presence of &quot;zero&quot; elements in the calculated results. Could you clarify how the\" \/>\n\t\t<meta name=\"twitter:image\" content=\"https:\/\/innovationspace.ansys.com\/forum\/wp-content\/uploads\/sites\/2\/2024\/10\/24-10-2024-1729735600-mceclip1.png\" \/>\n\t\t<script type=\"application\/ld+json\" class=\"aioseo-schema\">\n\t\t\t{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/forums\\\/reply\\\/391139\\\/#breadcrumblist\",\"itemListElement\":[{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum#listItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\",\"nextItem\":{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/forums\\\/reply\\\/391139\\\/#listItem\",\"name\":\"Reply To: Geometric stiffness matrix for solid elements\"}},{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/forums\\\/reply\\\/391139\\\/#listItem\",\"position\":2,\"name\":\"Reply To: Geometric stiffness matrix for solid elements\",\"previousItem\":{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum#listItem\",\"name\":\"Home\"}}]},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/#organization\",\"name\":\"Ansys Learning Forum\",\"description\":\"Ansys Innovation Space\",\"url\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/\"},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/forums\\\/reply\\\/391139\\\/#webpage\",\"url\":\"https:\\\/\\\/innovationspace.ansys.com\\\/forum\\\/forums\\\/reply\\\/391139\\\/\",\"name\":\"Reply To: Geometric stiffness matrix for solid elements | Ansys Learning Forum\",\"description\":\"Hello, thank you for your reply. I have a question: the method for calculating the geometric stiffness matrix described in Section 3.4 \\\"Stress Stiffening\\\" of the ANSYS help documentation is consistent with the literature by Bathe et al., which leads to the presence of \\\"zero\\\" elements in the calculated results. 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I have a question: the method for calculating the geometric stiffness matrix described in Section 3.4 \"Stress Stiffening\" of the ANSYS help documentation is consistent with the literature by Bathe et al., which leads to the presence of \"zero\" elements in the calculated results. 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I have a question: the method for calculating the geometric stiffness matrix described in Section 3.4 \"Stress Stiffening\" of the ANSYS help documentation is consistent with the literature by Bathe et al., which leads to the presence of \"zero\" elements in the calculated results. 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I have a question: the method for calculating the geometric stiffness matrix described in Section 3.4 &quot;Stress Stiffening&quot; of the ANSYS help documentation is consistent with the literature by Bathe et al., which leads to the presence of &quot;zero&quot; elements in the calculated results. Could you clarify how the","og:url":"https:\/\/innovationspace.ansys.com\/forum\/forums\/reply\/391139\/","og:image":"https:\/\/innovationspace.ansys.com\/forum\/wp-content\/uploads\/sites\/2\/2024\/10\/24-10-2024-1729735600-mceclip1.png","og:image:secure_url":"https:\/\/innovationspace.ansys.com\/forum\/wp-content\/uploads\/sites\/2\/2024\/10\/24-10-2024-1729735600-mceclip1.png","article:published_time":"2024-10-24T02:07:12+00:00","article:modified_time":"2024-10-24T02:07:12+00:00","twitter:card":"summary_large_image","twitter:title":"Reply To: Geometric stiffness matrix for solid elements | Ansys Learning Forum","twitter:description":"Hello, thank you for your reply. 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