Numerical analysis of ellipticity condition for large strain plasticity

Wcisło, Balbina (author): Cracow University of Technology/ Tadeusz Kościuszko University of Technology

Pamin, Jerzy (author): Cracow University of Technology/ Tadeusz Kościuszko University of Technology

Kowalczyk-Gajewska, Katarzyna (author): Institute of Fundamental Technological Research, PAN

Menzel, Andreas (author): Lund University,Lunds universitet,Hållfasthetslära,Institutionen för byggvetenskaper,Institutioner vid LTH,Lunds Tekniska Högskola,Solid Mechanics,Department of Construction Sciences,Departments at LTH,Faculty of Engineering, LTH,Technical University of Dortmund

(creator_code:org_t)

Author(s), 2018
2018
English.
In: 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. - : Author(s). - 9780735416147 ; 1922

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Abstract Subject headings

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.

About the subject

ENGINEERING AND TECHNOLOGY: ENGINEERING AND ...; and Mechanical Engin ...; and Other Mechanical ...

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