iMechanica - Comments for "Energy conservation in nonlinear finite element explicit dynamics"
https://imechanica.org/node/481
Comments for "Energy conservation in nonlinear finite element explicit dynamics"endiscrete energy conservation an active research topic in FEA
https://imechanica.org/comment/355#comment-355
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<p><em>In reply to <a href="https://imechanica.org/node/481">Energy conservation in nonlinear finite element explicit dynamics</a></em></p>
<div class="field field-name-comment-body field-type-text-long field-label-hidden"><div class="field-items"><div class="field-item even"><p>Robin,</p>
<p> You will find many papers on this topic over the past decade or so in the finite element literature. My colleague Tod Laursen at Duke University has written a few papers on the topic of "energy consistency". It turns out that most of the standard time integrators do not conserve energy very well, and this can actually trigger numerical instabilities at some point. </p>
<p> You may also wish to look at the recent literature on asynchronous variational integrators by Lew, Marsden, and Ortiz. These are designed, in part, with discrete energy conservation in mind. Here are some references to start: </p>
<p> Laursen TA, Meng XN, A new solution procedure for application of energy-conserving algorithms to general constitutive models in nonlinear elastodynamics, COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, v. 190 (46-47): pp. 6309-6322, 2001 </p>
<p>Lew A, Marsden J, Ortiz M, & West M., "Variational Time Integrators," INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, v. 60: pp. 153-212, 2004 </p>
<p> </p>
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</ul>Thu, 23 Nov 2006 04:18:52 +0000John E. Dolbowcomment 355 at https://imechanica.orgError | iMechanica