{"id":5038,"date":"2016-08-26T13:17:42","date_gmt":"2016-08-26T20:17:42","guid":{"rendered":"https:\/\/blogs.plm.automation.siemens.com\/t5\/Simcenter-Blog\/Post-Buckling-in-FEMAP-using-Advanced-Nonlinear\/ba-p\/362533"},"modified":"2026-03-26T05:58:44","modified_gmt":"2026-03-26T09:58:44","slug":"post-buckling-in-femap-using-advanced-nonlinear","status":"publish","type":"post","link":"https:\/\/blogs.sw.siemens.com\/simcenter\/post-buckling-in-femap-using-advanced-nonlinear\/","title":{"rendered":"Post-Buckling in FEMAP using Advanced Nonlinear"},"content":{"rendered":"<p><P><EM>This is the second installment of a two-part series covering&nbsp;Advanced Nonlinear, looking specifically at Post-Buckling Behavior<\/EM><\/P><\/p>\n<p><P><a href=\"https:\/\/structures.aero\/blog\/advanced-nonlinear-analysis-femap-post-buckling-behavior-demonstration-part-1\/?utm_source=plmcommunity&amp;utm_medium=forum&amp;utm_content=part1&amp;utm_campaign=anonlinearblogpost\" target=\"_blank\" rel=\"nofollow noopener noreferrer\">We&nbsp;previously&nbsp;covered buckling behavior of a thin-walled cylinder<\/A>. This tutorial will cover the nonlinear analysis of a box beam structure.<\/P><\/p>\n<p><P>If you missed&nbsp;<a href=\"https:\/\/structures.aero\/blog\/advanced-nonlinear-analysis-femap-post-buckling-behavior-demonstration-part-1\/?utm_source=plmcommunity&amp;utm_medium=forum&amp;utm_content=part1&amp;utm_campaign=anonlinearblogpost\" target=\"_blank\" rel=\"nofollow noopener noreferrer\">the first part of our post-buckling behavior demonstration using Advanced Nonlinear, click here.<\/A><\/P><br \/>\n<HR \/><\/p>\n<p><P><STRONG>Overview<\/STRONG><\/P><\/p>\n<p><P>Our next Advanced Nonlinear demonstration is on a box beam\/wing-like structure.<\/P><\/p>\n<p><P><a href=\"https:\/\/structures.aero\/wp-content\/uploads\/2016\/06\/1.-box-beam-1.png\" target=\"_blank\" rel=\"nofollow noopener noreferrer\"><IMG class=\"alignnone wp-image-4291 size-medium\" src=\"https:\/\/structures.aero\/wp-content\/uploads\/2016\/06\/1.-box-beam-1-300x174.png\" border=\"0\" alt=\"1. box beam 1\" width=\"300\" height=\"174\" \/><\/A><\/P><\/p>\n<p><P><a href=\"https:\/\/structures.aero\/wp-content\/uploads\/2016\/06\/2.-box-beam-2.png\" target=\"_blank\" rel=\"nofollow noopener noreferrer\"><IMG class=\"alignnone wp-image-4292 size-medium\" src=\"https:\/\/structures.aero\/wp-content\/uploads\/2016\/06\/2.-box-beam-2-300x167.png\" border=\"0\" alt=\"2. box beam 2\" width=\"300\" height=\"167\" \/><\/A><\/P><\/p>\n<p><P>We have an exterior skin and on the inside we have ribs, spars, a fore and aft spar, and stringers.<\/P><br \/>\n<P>Looking at the thickness, the inboard region is much more supported than the outboard region.<\/P><\/p>\n<p><P><a href=\"https:\/\/structures.aero\/wp-content\/uploads\/2016\/06\/3.-thickness.png\" target=\"_blank\" rel=\"nofollow noopener noreferrer\"><IMG class=\"aligncenter wp-image-4293 size-large\" src=\"https:\/\/structures.aero\/wp-content\/uploads\/2016\/06\/3.-thickness-1024x633.png\" border=\"0\" alt=\"3. thickness\" width=\"742\" height=\"459\" \/><\/A><\/P><\/p>\n<p><P>The forepart of the wing has more support in the stringers than the aft&nbsp;part, which has no stringers.<\/P><br \/>\n<P>One thing to point out about this model is that it is completely made from aluminum.<\/P><\/p>\n<p><P><STRONG>Inspecting the Model<\/STRONG><\/P><\/p>\n<p><P>This model was built using nonlinear materials. We have found that &#8220;Nonlinear Plastic&#8221; is the best option for material non-linearity in Advanced Nonlinear.<\/P><\/p>\n<p><P><a href=\"https:\/\/structures.aero\/wp-content\/uploads\/2016\/06\/4.-materials-edit.png\" target=\"_blank\" rel=\"nofollow noopener noreferrer\"><IMG class=\"size-full wp-image-4294 aligncenter\" src=\"https:\/\/structures.aero\/wp-content\/uploads\/2016\/06\/4.-materials-edit.png\" border=\"0\" alt=\"4. materials edit\" width=\"322\" height=\"257\" \/><\/A><\/P><\/p>\n<p><P>If you&#8217;re going to use nonlinear plastic you need to make sure you have two things:<\/P><\/p>\n<p><OL><br \/>\n<LI>You need the yield criteria and an initial yield stress that corresponds to that. We set this as von Mises<\/LI><br \/>\n<LI>You need a function dependence. We used Stress v. Strain.<\/LI><br \/>\n<\/OL><br \/>\n<P><IMG class=\"size-full wp-image-4295 aligncenter\" src=\"https:\/\/structures.aero\/wp-content\/uploads\/2016\/06\/5.-non-linear-plastic.png\" border=\"0\" alt=\"5. non-linear plastic\" width=\"520\" height=\"508\" \/><\/P><\/p>\n<p><P><STRONG>Looking at the Function<\/STRONG><\/P><\/p>\n<p><P><a href=\"https:\/\/structures.aero\/wp-content\/uploads\/2016\/06\/6.-function-edit.png\" target=\"_blank\" rel=\"nofollow noopener noreferrer\"><IMG class=\"size-full wp-image-4296 aligncenter\" src=\"https:\/\/structures.aero\/wp-content\/uploads\/2016\/06\/6.-function-edit.png\" border=\"0\" alt=\"6. function edit\" width=\"269\" height=\"247\" \/><\/A><a href=\"https:\/\/structures.aero\/wp-content\/uploads\/2016\/06\/7-function-definition.png\" target=\"_blank\" rel=\"nofollow noopener noreferrer\"><IMG class=\"size-full wp-image-4297 aligncenter\" src=\"https:\/\/structures.aero\/wp-content\/uploads\/2016\/06\/7-function-definition.png\" border=\"0\" alt=\"7 function definition\" width=\"620\" height=\"442\" \/><\/A><\/P><\/p>\n<p><P>This is a stress vs. strain graph. In the elastic regime we&#8217;ve gone all the way up to 65 KSI and in the plastic regime we have extended it pretty far.<\/P><\/p>\n<p><P><STRONG>One tip for convergence: <\/STRONG>If you are going with nonlinear plastic material, you should try and extend the curve out as long as you can.&nbsp;Try to make sure that your model isn&#8217;t going to have to solve for anything outside the stress strain curve.<\/P><\/p>\n<p><P><STRONG>Results<\/STRONG><\/P><\/p>\n<p><P>We&#8217;re going to jump right to the end, to the final time step.<\/P><\/p>\n<p><P>As you can see, there are multiple skin buckles at multiple bays of this wing.<\/P><\/p>\n<p><P>When you look at the back, not only has the skin started to buckle and shed its load, but it has started to affect other parts of the structure.<\/P><\/p>\n<p><P><a href=\"https:\/\/structures.aero\/wp-content\/uploads\/2016\/06\/8.-backside-of-wing.png\" target=\"_blank\" rel=\"nofollow noopener noreferrer\"><IMG class=\"aligncenter wp-image-4298 size-large\" src=\"https:\/\/structures.aero\/wp-content\/uploads\/2016\/06\/8.-backside-of-wing-1024x654.png\" border=\"0\" alt=\"8. backside of wing\" width=\"742\" height=\"474\" \/><\/A><\/P><br \/>\n<P>On the aft spar there is a buckle on the web and we have an aft spar that has exceeded yield stress over 50% of its area. (Making it likely to fail).<\/P><\/p>\n<p><P>Looking at the inside, we see more activity.<\/P><\/p>\n<p><P><a href=\"https:\/\/structures.aero\/wp-content\/uploads\/2016\/06\/9.-stringer-wave.png\" target=\"_blank\" rel=\"nofollow noopener noreferrer\"><IMG class=\"alignnone wp-image-4299 size-medium\" src=\"https:\/\/structures.aero\/wp-content\/uploads\/2016\/06\/9.-stringer-wave-300x201.png\" border=\"0\" alt=\"9. stringer wave\" width=\"300\" height=\"201\" \/><\/A><\/P><\/p>\n<p><P><a href=\"https:\/\/structures.aero\/wp-content\/uploads\/2016\/06\/10.-stringer-2.png\" target=\"_blank\" rel=\"nofollow noopener noreferrer\"><IMG class=\"alignnone size-medium wp-image-4300\" src=\"https:\/\/structures.aero\/wp-content\/uploads\/2016\/06\/10.-stringer-2-300x198.png\" border=\"0\" alt=\"10. stringer 2\" width=\"300\" height=\"198\" \/><\/A><\/P><\/p>\n<p><P>The stringers have started to wave. There is out of plane motion and it is likely to unload.<\/P><\/p>\n<p><P>Next lets start at an earlier time frame and see what happens when we ramp up the load.<\/P><\/p>\n<p><P><IMG class=\"aligncenter wp-image-4502 size-large\" src=\"https:\/\/structures.aero\/wp-content\/uploads\/2016\/06\/WingLoading_LoadingOnly-1024x597.gif\" border=\"0\" alt=\"WingLoading_LoadingOnly\" width=\"878\" height=\"512\" \/><\/P><\/p>\n<p><P>As we can see, more and more skin buckles form and it eventually gets pushed into the spar.<\/P><\/p>\n<p><P>The nice thing about Nonlinear is that even with all the buckling and non-linearity in our model, we&#8217;re still able to get a converging run and able to see what happens with a planned or unplanned buckle.<\/P><\/p>\n<p><P><STRONG>Analysis Manager<\/STRONG><\/P><\/p>\n<p><P>When you are running Nonlinear, this Analysis Manager will pop-up.<\/P><\/p>\n<p><P><a href=\"https:\/\/structures.aero\/wp-content\/uploads\/2016\/06\/11.-Analysis-Monitor.png\" target=\"_blank\" rel=\"nofollow noopener noreferrer\"><IMG class=\"aligncenter wp-image-4301 size-full\" src=\"https:\/\/structures.aero\/wp-content\/uploads\/2016\/06\/11.-Analysis-Monitor.png\" border=\"0\" alt=\"11. Analysis Monitor\" width=\"529\" height=\"1049\" \/><\/A><\/P><\/p>\n<p><P>It charts how long it is taking for your solution to converge.<\/P><\/p>\n<p><P>It&#8217;s not a straight line. The blips show where the model is having trouble converging.<\/P><\/p>\n<p><P>If we recall our model, between time steps 20 and 30 is where our first skin buckle began to form.<\/P><\/p>\n<p><P>You could use this to troubleshoot and figure out where you want to add more time steps or change your convergence parameters to push your solution to converge.<\/P><\/p>\n<p><P><STRONG>Conclusion<\/STRONG><\/P><\/p>\n<p><P>Advanced Nonlinear can be used to show a more realistic solution when geometric or material non-linearities exist. It&#8217;s able to capture buckles and continue to solve in order to investigate post buckling behavior.<\/P><\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is the second installment of a two-part series covering&nbsp;Advanced Nonlinear, looking specifically at Post-Buckling Behavior<br \/>\n &nbsp;<br \/>\n We&nbsp;previously&nbsp;covered buckling behavior of a &#8230;<\/p>\n","protected":false},"author":42065,"featured_media":5039,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spanish_translation":"","french_translation":"","german_translation":"","italian_translation":"","polish_translation":"","japanese_translation":"","chinese_translation":"","footnotes":""},"categories":[1,182],"tags":[],"industry":[],"product":[501],"coauthors":[],"class_list":["post-5038","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-news","category-tips-tricks","product-simcenter-femap"],"featured_image_url":"https:\/\/blogs.sw.siemens.com\/wp-content\/uploads\/sites\/6\/2019\/09\/SDA_Buckling_01_278x278.jpg","_links":{"self":[{"href":"https:\/\/blogs.sw.siemens.com\/simcenter\/wp-json\/wp\/v2\/posts\/5038","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.sw.siemens.com\/simcenter\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.sw.siemens.com\/simcenter\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.sw.siemens.com\/simcenter\/wp-json\/wp\/v2\/users\/42065"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.sw.siemens.com\/simcenter\/wp-json\/wp\/v2\/comments?post=5038"}],"version-history":[{"count":1,"href":"https:\/\/blogs.sw.siemens.com\/simcenter\/wp-json\/wp\/v2\/posts\/5038\/revisions"}],"predecessor-version":[{"id":5040,"href":"https:\/\/blogs.sw.siemens.com\/simcenter\/wp-json\/wp\/v2\/posts\/5038\/revisions\/5040"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/blogs.sw.siemens.com\/simcenter\/wp-json\/wp\/v2\/media\/5039"}],"wp:attachment":[{"href":"https:\/\/blogs.sw.siemens.com\/simcenter\/wp-json\/wp\/v2\/media?parent=5038"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.sw.siemens.com\/simcenter\/wp-json\/wp\/v2\/categories?post=5038"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.sw.siemens.com\/simcenter\/wp-json\/wp\/v2\/tags?post=5038"},{"taxonomy":"industry","embeddable":true,"href":"https:\/\/blogs.sw.siemens.com\/simcenter\/wp-json\/wp\/v2\/industry?post=5038"},{"taxonomy":"product","embeddable":true,"href":"https:\/\/blogs.sw.siemens.com\/simcenter\/wp-json\/wp\/v2\/product?post=5038"},{"taxonomy":"author","embeddable":true,"href":"https:\/\/blogs.sw.siemens.com\/simcenter\/wp-json\/wp\/v2\/coauthors?post=5038"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}