Numerical analysis of ellipticity condition for large strain plasticity

Wcisło, BalbinaCracow University of Technology/ Tadeusz Kościuszko University of Technology (författare)

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.

Pamin, JerzyCracow University of Technology/ Tadeusz Kościuszko University of Technology (författare)
Kowalczyk-Gajewska, KatarzynaInstitute of Fundamental Technological Research, PAN (författare)
Menzel, AndreasLund 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(Swepub:lu)soli-anm (författare)
Cracow University of Technology/ Tadeusz Kościuszko University of TechnologyInstitute of Fundamental Technological Research, PAN (creator_code:org_t)

Ingår i: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)19229780735416147
Ingår i:AIP Conference Proceedings: Author(s)19220094-243X

Av författaren/redakt...: Wcisło, Balbina; Pamin, Jerzy; Kowalczyk-Gajews ...; Menzel, Andreas

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