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A virtual element method for isotropic hyperelasticity

delete2020-08-01
delete22
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OA
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D
Daniel van Huyssteen *
B
B.D. Reddy
DOI:10.1016/j.cma.2020.113134delete
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Abstract

Abstract

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.
Keywords:
VEM
Virtual element method
Non-linear elasticity
Stabilization
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Journal

Computer Methods in Applied Mechanics and Engineering cover
Computer Methods in Applied Mechanics and Engineering
IF:
7.3
Papers:
1.3W
Citations:
5.6W

Organization

U
University of Cape Town
Scholars:
1.8W
Papers: 1.6W
Citations: 31