Numerical analysis of ellipticity condition for large strain plasticity

Balbina Wcisło; Jerzy Pamin; Katarzyna Kowalczyk-Gajewska; Andreas Menzel

doi:10.1063/1.5019150

Numerical analysis of ellipticity condition for large strain plasticity

Balbina Wcisło, Jerzy Pamin, Katarzyna Kowalczyk-Gajewska, Andreas Menzel

Solid Mechanics

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

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.

Original language	English
Title of host publication	Computer Methods in Mechanics, CMM 2017
Subtitle of host publication	Proceedings of the 22nd International Conference on Computer Methods in Mechanics
Publisher	American Institute of Physics (AIP)
Volume	1922
ISBN (Electronic)	9780735416147
DOIs	https://doi.org/10.1063/1.5019150
Publication status	Published - 2018 Jan 5
Event	22nd International Conference on Computer Methods in Mechanics, CMM 2017 - Lublin, Poland Duration: 2017 Sept 13 → 2017 Sept 16

Conference

Conference	22nd International Conference on Computer Methods in Mechanics, CMM 2017
Country/Territory	Poland
City	Lublin
Period	2017/09/13 → 2017/09/16

Subject classification (UKÄ)

Other Mechanical Engineering

Access to Document

10.1063/1.5019150

Cite this

@inproceedings{4d4928163cc34546878ee32a01d9ac98,

title = "Numerical analysis of ellipticity condition for large strain plasticity",

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.",

author = "Balbina Wcis{\l}o and Jerzy Pamin and Katarzyna Kowalczyk-Gajewska and Andreas Menzel",

year = "2018",

month = jan,

day = "5",

doi = "10.1063/1.5019150",

language = "English",

volume = "1922",

booktitle = "Computer Methods in Mechanics, CMM 2017",

publisher = "American Institute of Physics (AIP)",

address = "United States",

note = "22nd International Conference on Computer Methods in Mechanics, CMM 2017 ; Conference date: 13-09-2017 Through 16-09-2017",

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Wcisło, B, Pamin, J, Kowalczyk-Gajewska, K & Menzel, A 2018, Numerical analysis of ellipticity condition for large strain plasticity. in Computer Methods in Mechanics, CMM 2017: Proceedings of the 22nd International Conference on Computer Methods in Mechanics. vol. 1922, 140008, American Institute of Physics (AIP), 22nd International Conference on Computer Methods in Mechanics, CMM 2017, Lublin, Poland, 2017/09/13. https://doi.org/10.1063/1.5019150

Numerical analysis of ellipticity condition for large strain plasticity. / Wcisło, Balbina; Pamin, Jerzy; Kowalczyk-Gajewska, Katarzyna et al.
Computer Methods in Mechanics, CMM 2017: Proceedings of the 22nd International Conference on Computer Methods in Mechanics. Vol. 1922 American Institute of Physics (AIP), 2018. 140008.

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

TY - GEN

T1 - Numerical analysis of ellipticity condition for large strain plasticity

AU - Wcisło, Balbina

AU - Pamin, Jerzy

AU - Kowalczyk-Gajewska, Katarzyna

AU - Menzel, Andreas

PY - 2018/1/5

Y1 - 2018/1/5

N2 - 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.

AB - 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.

U2 - 10.1063/1.5019150

DO - 10.1063/1.5019150

M3 - Paper in conference proceeding

AN - SCOPUS:85041083423

VL - 1922

BT - Computer Methods in Mechanics, CMM 2017

PB - American Institute of Physics (AIP)

T2 - 22nd International Conference on Computer Methods in Mechanics, CMM 2017

Y2 - 13 September 2017 through 16 September 2017

ER -

Numerical analysis of ellipticity condition for large strain plasticity

Abstract

Conference

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