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Avoiding membrane locking with Regge interpolation
Computer Methods in Applied Mechanics and Engineering ( IF 6.9 ) Pub Date : 2021-01-01 , DOI: 10.1016/j.cma.2020.113524
Michael Neunteufel , Joachim Schöberl

In this paper we present a novel method to overcome membrane locking of thin shells. An interpolation operator into the so-called Regge finite element space is inserted in the membrane energy term to weaken the implicitly given kernel constraints. The number of constraints is asymptotically halved on triangular meshes compared to reduced integration techniques. Provided the interpolant, this approach can be incorporated easily into any shell element. The performance of the proposed method is demonstrated by means of several benchmark examples.

中文翻译:

使用 Regge 插值避免膜锁定

在本文中,我们提出了一种克服薄壳膜锁定的新方法。在膜能量项中插入所谓的 Regge 有限元空间的插值算子,以削弱隐式给定的内核约束。与简化积分技术相比,三角形网格上的约束数量渐近减半。提供插值,这种方法可以很容易地合并到任何壳单元中。通过几个基准示例证明了所提出方法的性能。
更新日期:2021-01-01
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