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首页> 外文会议>IUTAM Symposium on Computational Mechanics of Solid Materials at Large Strains Aug 20-24, 2001 Stuttgart, Germany >Affine-Approximate Finite Element Methods and Stabilization Techniques in Elasticity
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Affine-Approximate Finite Element Methods and Stabilization Techniques in Elasticity

机译：仿射近似有限元方法和稳定技术

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摘要

The purpose of this work is to report on a method for overcoming the effects of severe mesh distortion in finite element analyses. The method entails the replacement of arbitrary quadrilaterals, in computations, by parallelograms that are close to the original elements, in a rigorous sense. The resulting approach is referred to as an affine-approximate method, and is developed in the context of enhanced assumed strains with low-order elements. Theoretical results on convergence of the method are presented, and its extension to problems involving Mindlin-Reissner plates is discussed.
机译：这项工作的目的是报告一种在有限元分析中克服严重网格变形影响的方法。在严格意义上，该方法需要在计算中用接近原始元素的平行四边形替换任意四边形。所得方法称为仿射近似方法，是在具有低阶元素的增强假定应变的背景下开发的。给出了该方法收敛性的理论结果，并讨论了其对涉及Mindlin-Reissner板的问题的扩展。

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