橡胶结构数值模拟的等几何分析

S. Lejeunes, D. Eyheramendy
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引用次数: 0

摘要

在这项工作中,我们建议讨论等几何分析作为橡胶结构多场数值模拟的计算框架的兴趣。我们证明了我们可以用与有限元相同的方法构造超弹性问题的稳定近似。我们还表明,推广到热力学问题是非常简单的。用简单的数值算例和相同的变分公式,比较了IGA和FE的数值性能。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Isogeometric analysis for the numerical simulation of rubber structures
: In this work, we propose to discuss about the interrest of the Isogeometric Analysis as a computational framework for the numerical simulation of rubber structures with a multi-field approach. We show that we can construct stable approximations for hyperelastic problems using the same approach as that used for finite-elements. We also show that the extension to thermo-mechanical problems is very simple. Using simple numerical examples and the same variationnal formulation, we compare the numerical performance of IGA and FE.
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