Details
| Original language | English |
|---|---|
| Number of pages | 22 |
| Journal | International Journal for Numerical Methods in Engineering |
| Early online date | 2 May 2024 |
| Publication status | E-pub ahead of print - 2 May 2024 |
Abstract
In this paper, a novel first- and second-order stabilization-free virtual element method is proposed for two-dimensional elastoplastic problems. In contrast to traditional virtual element methods, the improved method does not require any stabilization, making the solution of nonlinear problems more reliable. The main idea is to modify the virtual element space to allow the computation of the higher-order (Formula presented.) projection operator, ensuring that the strain and stress represent the element energy accurately. Considering the flexibility of the stabilization-free virtual element method, the elastoplastic mechanical problems can be solved by radial return methods known from the traditional finite element framework. (Formula presented.) plasticity with hardening is considered for modeling the nonlinear response. Several numerical examples are provided to illustrate the capability and accuracy of the stabilization-free virtual element method.
Keywords
- nonlinear, plasticity, stabilization-free, virtual element method
ASJC Scopus subject areas
- Mathematics(all)
- Numerical Analysis
- Engineering(all)
- Mathematics(all)
- Applied Mathematics
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In: International Journal for Numerical Methods in Engineering, 02.05.2024.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Stabilization-free virtual element method for 2D elastoplastic problems
AU - Xu, Bing Bing
AU - Wang, Yi Fan
AU - Wriggers, Peter
N1 - Publisher Copyright: © 2024 The Authors. International Journal for Numerical Methods in Engineering published by John Wiley & Sons Ltd.
PY - 2024/5/2
Y1 - 2024/5/2
N2 - In this paper, a novel first- and second-order stabilization-free virtual element method is proposed for two-dimensional elastoplastic problems. In contrast to traditional virtual element methods, the improved method does not require any stabilization, making the solution of nonlinear problems more reliable. The main idea is to modify the virtual element space to allow the computation of the higher-order (Formula presented.) projection operator, ensuring that the strain and stress represent the element energy accurately. Considering the flexibility of the stabilization-free virtual element method, the elastoplastic mechanical problems can be solved by radial return methods known from the traditional finite element framework. (Formula presented.) plasticity with hardening is considered for modeling the nonlinear response. Several numerical examples are provided to illustrate the capability and accuracy of the stabilization-free virtual element method.
AB - In this paper, a novel first- and second-order stabilization-free virtual element method is proposed for two-dimensional elastoplastic problems. In contrast to traditional virtual element methods, the improved method does not require any stabilization, making the solution of nonlinear problems more reliable. The main idea is to modify the virtual element space to allow the computation of the higher-order (Formula presented.) projection operator, ensuring that the strain and stress represent the element energy accurately. Considering the flexibility of the stabilization-free virtual element method, the elastoplastic mechanical problems can be solved by radial return methods known from the traditional finite element framework. (Formula presented.) plasticity with hardening is considered for modeling the nonlinear response. Several numerical examples are provided to illustrate the capability and accuracy of the stabilization-free virtual element method.
KW - nonlinear
KW - plasticity
KW - stabilization-free
KW - virtual element method
UR - http://www.scopus.com/inward/record.url?scp=85192172107&partnerID=8YFLogxK
U2 - 10.1002/nme.7490
DO - 10.1002/nme.7490
M3 - Article
AN - SCOPUS:85192172107
JO - International Journal for Numerical Methods in Engineering
JF - International Journal for Numerical Methods in Engineering
SN - 0029-5981
ER -