一种简单有效的基于应变投影的消除等几何固体壳闭锁的方法
A simple and effective method based on strain projections to alleviate locking in isogeometric solid shells
摘要：
在这项工作中，我们专注于家庭的壳配方被称为“固体壳”，壳型结构的模拟是通过一个网格的三维实体元素，通常只有一个元素通过厚度。我们提出了一种新的方法，用于减轻各种锁定现象，通常出现在薄的结构，基于投影的应变到不连续的粗糙多项式空间定义在元素级别。特别是，我们提出并研究了两种不同的配方基于这种方法。几个数值实验证明了这两个配方的非常好的性能。所提出的方法相比，现有的固体壳配方的主要优点是它的简单性和数值效率。
英文摘要：
In this work, we focus on the family of shell formulations referred to as "solid shells", where the simulation of shell-type structures is performed by means of a mesh of 3D solid elements, with typically only one element through the thickness. We propose a novel approach for alleviating the various locking phenomena, which typically appear in thin structures, based on the projection of strains onto discontinuous coarser polynomial spaces defined at element level. In particular, we present and investigate two different formulations based on this approach. Several numerical experiments prove the very good performance of both formulations. The main advantages of the presented approach compared to existing solid shell formulations are its simplicity and numerical efficiency.
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