Institute of Fundamental Technological Research
Polish Academy of Sciences

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A. Menzel

Lund University (SE)


Conference papers
1.  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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