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Numerical analysis ...
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Wcisło, BalbinaCracow University of Technology/ Tadeusz Kościuszko University of Technology
(author)
Numerical analysis of ellipticity condition for large strain plasticity
- Article/chapterEnglish2018
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LIBRIS-ID:oai:lup.lub.lu.se:4d492816-3cc3-4546-878e-e32a01d9ac98
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https://lup.lub.lu.se/record/4d492816-3cc3-4546-878e-e32a01d9ac98URI
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https://doi.org/10.1063/1.5019150DOI
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Language:English
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Summary in:English
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Subject category:kon swepub-publicationtype
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Subject category:ref swepub-contenttype
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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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Pamin, JerzyCracow University of Technology/ Tadeusz Kościuszko University of Technology
(author)
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Kowalczyk-Gajewska, KatarzynaInstitute of Fundamental Technological Research, PAN
(author)
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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
(author)
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Cracow University of Technology/ Tadeusz Kościuszko University of TechnologyInstitute of Fundamental Technological Research, PAN
(creator_code:org_t)
Related titles
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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)19229780735416147
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In:AIP Conference Proceedings: Author(s)19220094-243X
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