EAS方法和网格畸变不敏感无锁低阶不对称EAS单元的开放性问题

R. Pfefferkorn, P. Betsch
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引用次数: 1

摘要

。最流行的混合有限元方法之一是增强假设应变法(EAS)。然而,尽管有许多优点,仍有一些悬而未决的问题。本文讨论了三个最重要的问题,即非线性模拟中的鲁棒性、沙漏不稳定性和对网格畸变的敏感性。此外,我们提出了一种新的基于Petrov-Galerkin的EAS方法。结果表明,无论网格变形如何,都必须满足三个条件才能构造出精确适用于特定位移模式的单元。这种构造的新单元无锁紧,对弯曲问题精确,对网格畸变不敏感,并提高了粗网格精度。
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Open Issues on the EAS Method and Mesh Distortion Insensitive Locking-Free Low-Order Unsymmetric EAS Elements
. One of the most popular mixed finite elements is the enhanced assumed strain (EAS) approach. However, despite numerous advantages there are still some open issues. Three of the most important, namely robustness in nonlinear simulations, hourglassing instabilities and sensitivity to mesh distortion, are discussed in the present contribution. Furthermore, we propose a novel Petrov-Galerkin based EAS method. It is shown that three conditions have to be fulfilled to construct elements that are exact for a specific displacement mode regardless of mesh distortion. The so constructed novel element is locking-free, exact for bending problems, insensitive to mesh distortion and has improved coarse mesh accuracy.
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