Stabilization-free virtual element method for finite strain applications

authored by: Bing Bing Xu, Fan Peng, Peter Wriggers
Abstract: In this paper, a novel higher stabilization-free virtual element method is proposed for compressible hyper-elastic materials in 2D. Different from the most traditional virtual element formulation, the method does not need any stabilization. The main idea is to modify the virtual element space to allow the computation of a higher-order polynomial L₂ projection of the gradient. Based on that the stiffness matrix can be obtained directly which greatly simplifies the analysis process, especially for nonlinear problems. Hyper-elastic materials are considered and some benchmark nonlinear problems are solved to verify the capability and accuracy of the stabilization-free virtual element method.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): Chang'an University
Type: Article
Journal: Computer Methods in Applied Mechanics and Engineering
Volume: 417
ISSN: 0045-7825
Publication date: 01.12.2023
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Computational Mechanics, Mechanics of Materials, Mechanical Engineering, Physics and Astronomy(all), Computer Science Applications
Electronic version(s): https://doi.org/10.1016/j.cma.2023.116555 (Access: Closed)
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