Details
| Original language | English |
|---|---|
| Pages (from-to) | 459-477 |
| Number of pages | 19 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 327 |
| Publication status | Published - 13 Oct 2017 |
Abstract
The virtual element method has been developed over the last decade and applied to problems in elasticity and other areas. The successful application of the method to linear problems leads naturally to the question of its effectiveness in the nonlinear regime. This work is concerned with extensions of the virtual element method to problems of finite strain plasticity. Low-order formulations for problems in two dimensions, with elements being arbitrary polygons, are considered. The formulation is based on minimization of an incremental energy expression, with a novel construction of the stabilization energy for elasto-plasticity. The resulting discretization scheme is investigated using different numerical examples that demonstrate efficiency, accuracy and convergence properties.
Keywords
- Finite strain plasticity, Stabilization, VEM, Virtual element method
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Physics and Astronomy(all)
- General Physics and Astronomy
- Computer Science(all)
- Computer Science Applications
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In: Computer Methods in Applied Mechanics and Engineering, Vol. 327, 13.10.2017, p. 459-477.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A low order virtual element formulation for finite elasto-plastic deformations
AU - Wriggers, P.
AU - Hudobivnik, B.
N1 - Funding information: The first author gratefully acknowledges support by the Deutsche Forschungsgemeinschaft in the Priority Program 1748 ‘Reliable simulation techniques in solid mechanics: Development of non- standard discretization methods, mechanical and mathematical analysis’ under the project WR 19/50-1.
PY - 2017/10/13
Y1 - 2017/10/13
N2 - The virtual element method has been developed over the last decade and applied to problems in elasticity and other areas. The successful application of the method to linear problems leads naturally to the question of its effectiveness in the nonlinear regime. This work is concerned with extensions of the virtual element method to problems of finite strain plasticity. Low-order formulations for problems in two dimensions, with elements being arbitrary polygons, are considered. The formulation is based on minimization of an incremental energy expression, with a novel construction of the stabilization energy for elasto-plasticity. The resulting discretization scheme is investigated using different numerical examples that demonstrate efficiency, accuracy and convergence properties.
AB - The virtual element method has been developed over the last decade and applied to problems in elasticity and other areas. The successful application of the method to linear problems leads naturally to the question of its effectiveness in the nonlinear regime. This work is concerned with extensions of the virtual element method to problems of finite strain plasticity. Low-order formulations for problems in two dimensions, with elements being arbitrary polygons, are considered. The formulation is based on minimization of an incremental energy expression, with a novel construction of the stabilization energy for elasto-plasticity. The resulting discretization scheme is investigated using different numerical examples that demonstrate efficiency, accuracy and convergence properties.
KW - Finite strain plasticity
KW - Stabilization
KW - VEM
KW - Virtual element method
UR - http://www.scopus.com/inward/record.url?scp=85033731247&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2017.08.053
DO - 10.1016/j.cma.2017.08.053
M3 - Article
AN - SCOPUS:85033731247
VL - 327
SP - 459
EP - 477
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
ER -