Numerical analysis of ellipticity condition for large strain plasticity
(2018) 22nd International Conference on 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4d492816-3cc3-4546-878e-e32a01d9ac98
- author
- Wcisło, Balbina ; Pamin, Jerzy ; Kowalczyk-Gajewska, Katarzyna and Menzel, Andreas LU
- organization
- publishing date
- 2018-01-05
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- host publication
- Computer Methods in Mechanics, CMM 2017 : Proceedings of the 22nd International Conference on Computer Methods in Mechanics - Proceedings of the 22nd International Conference on Computer Methods in Mechanics
- volume
- 1922
- article number
- 140008
- publisher
- American Institute of Physics (AIP)
- conference name
- 22nd International Conference on Computer Methods in Mechanics, CMM 2017
- conference location
- Lublin, Poland
- conference dates
- 2017-09-13 - 2017-09-16
- 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
- 2022-04-17 18:36:14
@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 : Proceedings of the 22nd International Conference on Computer Methods in Mechanics}}, isbn = {{9780735416147}}, language = {{eng}}, month = {{01}}, publisher = {{American Institute of Physics (AIP)}}, title = {{Numerical analysis of ellipticity condition for large strain plasticity}}, url = {{http://dx.doi.org/10.1063/1.5019150}}, doi = {{10.1063/1.5019150}}, volume = {{1922}}, year = {{2018}}, }