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Numrering	Referens	Omslagsbild	Hitta
1.	Wcisło, Balbina, et al. (författare) Numerical analysis of ellipticity condition for large strain plasticity 2018 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). - 9780735416147 ; 1922 Konferensbidrag (refereegranskat)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.

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