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Wcisło B.♦, Pamin J.♦, Kowalczyk-Gajewska K., Menzel A.♦, Numerical analysis of ellipticity condition for large strain plasticity,
CMM 2017, 22nd International Conference on Computer Methods in Mechanics, 2017-09-13/09-16, Lublin (PL), DOI: 10.1063/1.5019150, Vol.1922, No.1, pp.140008-1-8, 2018 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. Affiliations:
| Wcisło B. | - | Cracow University of Technology (PL) | | Pamin J. | - | Cracow University of Technology (PL) | | Kowalczyk-Gajewska K. | - | IPPT PAN | | Menzel A. | - | Lund University (SE) |
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