Details
| Original language | English |
|---|---|
| Journal | Computational Mechanics |
| Volume | 68 |
| Issue number | 3 |
| Early online date | 15 Apr 2021 |
| Publication status | Published - Sept 2021 |
Abstract
The virtual element method (VEM) for dynamic analyses of nonlinear elasto-plastic problems undergoing large deformations is outlined within this work. VEM has been applied to various problems in engineering, considering elasto-plasticity, multiphysics, damage, elastodynamics, contact- and fracture mechanics. This work focuses on the extension of VEM formulations towards dynamic elasto-plastic applications. Hereby low-order ansatz functions are employed in three dimensions with elements having arbitrary convex or concave polygonal shapes. The formulations presented in this study are based on minimization of potential function for both the static as well as the dynamic behavior. Additionally, to overcome the volumetric locking phenomena due to elastic and plastic incompressibility conditions, a mixed formulation based on a Hu-Washizu functional is adopted. For the implicit time integration scheme, Newmark method is used. To show the model performance, various numerical examples in 3D are presented.
Keywords
- Dynamics, Finite strains, Plasticity, Mixed formulations, Three-dimensional, Virtual element method (VEM)
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Ocean Engineering
- Engineering(all)
- Mechanical Engineering
- Computer Science(all)
- Computational Theory and Mathematics
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Computational Mechanics, Vol. 68, No. 3, 09.2021.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - 3D mixed virtual element formulation for dynamic elasto-plastic analysis
AU - Cihan, Mertcan
AU - Hudobivnik, Blaž
AU - Aldakheel, Fadi
AU - Wriggers, Peter
PY - 2021/9
Y1 - 2021/9
N2 - The virtual element method (VEM) for dynamic analyses of nonlinear elasto-plastic problems undergoing large deformations is outlined within this work. VEM has been applied to various problems in engineering, considering elasto-plasticity, multiphysics, damage, elastodynamics, contact- and fracture mechanics. This work focuses on the extension of VEM formulations towards dynamic elasto-plastic applications. Hereby low-order ansatz functions are employed in three dimensions with elements having arbitrary convex or concave polygonal shapes. The formulations presented in this study are based on minimization of potential function for both the static as well as the dynamic behavior. Additionally, to overcome the volumetric locking phenomena due to elastic and plastic incompressibility conditions, a mixed formulation based on a Hu-Washizu functional is adopted. For the implicit time integration scheme, Newmark method is used. To show the model performance, various numerical examples in 3D are presented.
AB - The virtual element method (VEM) for dynamic analyses of nonlinear elasto-plastic problems undergoing large deformations is outlined within this work. VEM has been applied to various problems in engineering, considering elasto-plasticity, multiphysics, damage, elastodynamics, contact- and fracture mechanics. This work focuses on the extension of VEM formulations towards dynamic elasto-plastic applications. Hereby low-order ansatz functions are employed in three dimensions with elements having arbitrary convex or concave polygonal shapes. The formulations presented in this study are based on minimization of potential function for both the static as well as the dynamic behavior. Additionally, to overcome the volumetric locking phenomena due to elastic and plastic incompressibility conditions, a mixed formulation based on a Hu-Washizu functional is adopted. For the implicit time integration scheme, Newmark method is used. To show the model performance, various numerical examples in 3D are presented.
KW - Dynamics
KW - Finite strains
KW - Plasticity, Mixed formulations
KW - Three-dimensional
KW - Virtual element method (VEM)
UR - http://www.scopus.com/inward/record.url?scp=85104738105&partnerID=8YFLogxK
U2 - 10.1007/s00466-021-02010-8
DO - 10.1007/s00466-021-02010-8
M3 - Article
AN - SCOPUS:85104738105
VL - 68
JO - Computational Mechanics
JF - Computational Mechanics
SN - 0178-7675
IS - 3
ER -