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Numerical analysis of ellipticity condition for large strain plasticity

Wcisło, Balbina; Pamin, Jerzy; Kowalczyk-Gajewska, Katarzyna and Menzel, Andreas LU (2018) 22nd International Conference on Computer Methods in Mechanics, CMM 2017 In Computer Methods in Mechanics, CMM 2017 1922.
Abstract

This paper deals with the numerical investigation of ellipticity of the boundary value problem for isothermal finite strain elasto-plasticity. Ellipticity can be lost when softening occurs. A discontinuity surface then appears in the considered material body and this is associated with the ill-posedness of the boundary value problem. In the paper the condition for ellipticity loss is derived using the deformation gradient and the first Piola-Kirchhoff stress tensor. Next, the obtained condition is implemented and numerically tested within symbolic-numerical tools AceGen and AceFEM using the benchmark of an elongated rectangular plate with imperfection in plane stress and plane strain conditions.

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author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
in
Computer Methods in Mechanics, CMM 2017
volume
1922
publisher
American Institute of Physics Inc.
conference name
22nd International Conference on Computer Methods in Mechanics, CMM 2017
external identifiers
  • scopus:85041083423
ISBN
9780735416147
DOI
10.1063/1.5019150
language
English
LU publication?
yes
id
4d492816-3cc3-4546-878e-e32a01d9ac98
date added to LUP
2018-02-06 09:19:18
date last changed
2018-05-29 09:34:08
@inproceedings{4d492816-3cc3-4546-878e-e32a01d9ac98,
  abstract     = {<p>This paper deals with the numerical investigation of ellipticity of the boundary value problem for isothermal finite strain elasto-plasticity. Ellipticity can be lost when softening occurs. A discontinuity surface then appears in the considered material body and this is associated with the ill-posedness of the boundary value problem. In the paper the condition for ellipticity loss is derived using the deformation gradient and the first Piola-Kirchhoff stress tensor. Next, the obtained condition is implemented and numerically tested within symbolic-numerical tools AceGen and AceFEM using the benchmark of an elongated rectangular plate with imperfection in plane stress and plane strain conditions.</p>},
  author       = {Wcisło, Balbina and Pamin, Jerzy and Kowalczyk-Gajewska, Katarzyna and Menzel, Andreas},
  booktitle    = {Computer Methods in Mechanics, CMM 2017},
  isbn         = {9780735416147},
  language     = {eng},
  month        = {01},
  publisher    = {American Institute of Physics Inc.},
  title        = {Numerical analysis of ellipticity condition for large strain plasticity},
  url          = {http://dx.doi.org/10.1063/1.5019150},
  volume       = {1922},
  year         = {2018},
}