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A virtual element method for transversely isotropic hyperelasticity

delete2021-12-01
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PRE
AI
D
Daniel van Huyssteen *
B
B.D. Reddy
DOI:10.1016/j.cma.2021.114108delete
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摘要

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

Computer Methods in Applied Mechanics and Engineering 封面图
Computer Methods in Applied Mechanics and Engineering
IF:
7.3
论文数:
1.3W
被引数:
5.6W

机构

U
University of Cape Town
学者数:
1.8W
论文数: 1.6W
被引数: 31
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