Details
| Original language | English |
|---|---|
| Pages (from-to) | 1347-1360 |
| Number of pages | 14 |
| Journal | Computational mechanics |
| Volume | 64 |
| Issue number | 5 |
| Early online date | 10 May 2019 |
| Publication status | Published - Nov 2019 |
Abstract
The paper outlines a multi-dimensional virtual element scheme for the coupled thermo-mechanical response of finite strain plasticity problems. The virtual element method (VEM) has been developed over the last decade and applied to problems in elasticity for small strains and other areas in the linear range. Enlargements of VEM to problems of compressible and incompressible nonlinear elasticity and finite plasticity have been reported in the last years. This work is further extending VEM to problems of 2D and 3D finite strain thermo-plasticity. Several numerical results substantiate our developments. For comparison purposes, results of different finite element discretization schemes are demonstrated as well.
Keywords
- AceGen, Finite strains, Stabilization, Thermo-plasticity, 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. 64, No. 5, 11.2019, p. 1347-1360.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Virtual elements for finite thermo-plasticity problems
AU - Aldakheel, Fadi
AU - Hudobivnik, Blaž
AU - Wriggers, Peter
N1 - Funding information: The authors gratefully acknowledges support for this research by the “German Research Foundation” (DFG) in (i) the collaborative research center CRC 1153 “Process chain for the production of hybrid high-performance components through tailored forming”, (ii) the Priority Program SPP 2020 under the project WR 19/58-1 and (iii) the Priority Program SPP 1748 under the project WR 19/50-1.
PY - 2019/11
Y1 - 2019/11
N2 - The paper outlines a multi-dimensional virtual element scheme for the coupled thermo-mechanical response of finite strain plasticity problems. The virtual element method (VEM) has been developed over the last decade and applied to problems in elasticity for small strains and other areas in the linear range. Enlargements of VEM to problems of compressible and incompressible nonlinear elasticity and finite plasticity have been reported in the last years. This work is further extending VEM to problems of 2D and 3D finite strain thermo-plasticity. Several numerical results substantiate our developments. For comparison purposes, results of different finite element discretization schemes are demonstrated as well.
AB - The paper outlines a multi-dimensional virtual element scheme for the coupled thermo-mechanical response of finite strain plasticity problems. The virtual element method (VEM) has been developed over the last decade and applied to problems in elasticity for small strains and other areas in the linear range. Enlargements of VEM to problems of compressible and incompressible nonlinear elasticity and finite plasticity have been reported in the last years. This work is further extending VEM to problems of 2D and 3D finite strain thermo-plasticity. Several numerical results substantiate our developments. For comparison purposes, results of different finite element discretization schemes are demonstrated as well.
KW - AceGen
KW - Finite strains
KW - Stabilization
KW - Thermo-plasticity
KW - Virtual element method (VEM)
UR - http://www.scopus.com/inward/record.url?scp=85065740395&partnerID=8YFLogxK
U2 - 10.1007/s00466-019-01714-2
DO - 10.1007/s00466-019-01714-2
M3 - Article
AN - SCOPUS:85065740395
VL - 64
SP - 1347
EP - 1360
JO - Computational mechanics
JF - Computational mechanics
SN - 0178-7675
IS - 5
ER -