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A virtual element method for transversely isotropic hyperelasticity
DOI:10.1016/j.cma.2021.114108.png)
摘要
En 中文
This work considers the application of a low-order displacement-based virtual element method (VEM) to plane problems of transversely isotropic hyperelasticity, with a novel approach to the computation of stabilization parameters. The method is applied to a range of numerical examples and a variety of transversely isotropic material models are considered. For each of the material models the performance of the virtual element method is investigated under varying degrees of compressibility and extensibility, including near-incompressibility and near-inextensibility, both separately and in combination. Through the range of examples the convergence behaviour of the method is demonstrated with robust, accurate and locking-free behaviour exhibited for all considered choices of material model and material parameter. (C) 2021 Elsevier B.V. All rights reserved.
Keyword:
VEM
Virtual element method
Non-linear elasticity
Stabilization
Transverse isotropy
期刊
IF:
7.3
论文数:
1.3W
被引数:
5.6W
机构
引用论文
On the Virtual Element Method for three-dimensional linear elasticity problems on arbitrary polyhedral meshes关于任意多面体网格上三维线性弹性问题的虚拟单元方法

