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A virtual element method for isotropic hyperelasticity
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DOI：10.1016/j.cma.2020.113134.png)
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摘要
En 中文
This work considers the application of a displacement-based virtual element method to plane hyperelasticity problems with a novel approach to the selection of stabilization parameters. The method is applied to a range of numerical examples and well known strain energy functions, including neo-Hookean, Mooney-Rivlin and Ogden material models. For each of the strain energy functions the performance of the method under varying degrees of compressibility, including near-incompressibility, is investigated. Through these examples the convergence behaviour of the virtual element method is demonstrated. Furthermore, the method is found to be robust and locking free for a variety of element geometries, including elements with a high degree of concavity. (C) 2020 Elsevier B.V. All rights reserved.
Keyword:
VEM
Virtual element method
Non-linear elasticity
Stabilization
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期刊
IF:
7.3
论文数:
1.3W
被引数:
5.6W
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