Details
| Original language | English |
|---|---|
| Article number | 116555 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 417 |
| Early online date | 21 Oct 2023 |
| Publication status | Published - 1 Dec 2023 |
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.
Keywords
- Hyperelastic material, Stabilization-free, virtual element method
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Physics and Astronomy(all)
- Computer Science(all)
- Computer Science Applications
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In: Computer Methods in Applied Mechanics and Engineering, Vol. 417, 116555, 01.12.2023.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Stabilization-free virtual element method for finite strain applications
AU - Xu, Bing Bing
AU - Peng, Fan
AU - Wriggers, Peter
N1 - Funding Information: The first and last authors are grateful for the support provided by the Alexander von Humboldt Foundation, Germany.
PY - 2023/12/1
Y1 - 2023/12/1
N2 - 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.
AB - 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.
KW - Hyperelastic material
KW - Stabilization-free
KW - virtual element method
UR - http://www.scopus.com/inward/record.url?scp=85174439518&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2023.116555
DO - 10.1016/j.cma.2023.116555
M3 - Article
AN - SCOPUS:85174439518
VL - 417
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
M1 - 116555
ER -