Virtual elements for finite thermo-plasticity problems

authored by: Fadi Aldakheel, Blaž Hudobivnik, Peter Wriggers
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.
Organisation(s): Institute of Continuum Mechanics
Type: Article
Journal: Computational mechanics
Volume: 64
Pages: 1347-1360
No. of pages: 14
ISSN: 0178-7675
Publication date: 11.2019
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Computational Mechanics, Ocean Engineering, Mechanical Engineering, Computational Theory and Mathematics, Computational Mathematics, Applied Mathematics
Electronic version(s): https://doi.org/10.1007/s00466-019-01714-2 (Access: Closed)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{6803e99c2d084ca68d98354068e46480,
title = "Virtual elements for finite thermo-plasticity problems",
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)",
author = "Fadi Aldakheel and Bla{\v z} Hudobivnik and Peter Wriggers",
note = "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.",
year = "2019",
month = nov,
doi = "10.1007/s00466-019-01714-2",
language = "English",
volume = "64",
pages = "1347--1360",
journal = "Computational mechanics",
issn = "0178-7675",
publisher = "Springer Verlag",
number = "5",
}