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

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Forskningsoutput: Kapitel i bok/rapport/Conference proceeding › Konferenspaper i proceeding › Peer review

Sammanfattning

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.

Originalspråk	engelska
Titel på värdpublikation	Computer Methods in Mechanics, CMM 2017
Undertitel på värdpublikation	Proceedings of the 22nd International Conference on Computer Methods in Mechanics
Förlag	American Institute of Physics (AIP)
Volym	1922
ISBN (elektroniskt)	9780735416147
DOI	https://doi.org/10.1063/1.5019150
Status	Published - 2018 jan. 5
Evenemang	22nd International Conference on Computer Methods in Mechanics, CMM 2017 - Lublin, Polen Varaktighet: 2017 sep. 13 → 2017 sep. 16

Konferens

Konferens	22nd International Conference on Computer Methods in Mechanics, CMM 2017
Land/Territorium	Polen
Ort	Lublin
Period	2017/09/13 → 2017/09/16

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10.1063/1.5019150

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@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",

}

Wcisło, B, Pamin, J, Kowalczyk-Gajewska, K & Menzel, A 2018, Numerical analysis of ellipticity condition for large strain plasticity. i 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, Polen, 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.

Forskningsoutput: Kapitel i bok/rapport/Conference proceeding › Konferenspaper i 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

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