A piecewise analytical solution for Jiangs model of elastoplasticity

  • In this article, we present an analytic solution for Jiang's constitutive model of elastoplasticity. It is considered in its stress controlled form for proportional stress loading under the assumptions that the one-to-one coupling of the yield surface radius and the memory surface radius is switched off, that the transient hardening is neglected and that the ratchetting exponents are constant.
  • In diesem Artikel stellen wir eine analytische Lösung für das Jiangsche Elastoplastizitätsmodell vor. Wir betrachten es in seiner spannungskontrollierten Version unter proportionaler Belastung und unter den Annahmen, dass die Eins-zu-Eins-Kopplung zwischen dem Fliessflächenradius und dem Gedächtnisflächenradius ausgeschaltet ist, dass transiente Verfestigung vernachlässigt wird und dass die Ratchettingexponenten konstant sind.

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Metadaten
Author:Holger Lang, Klaus Dressler, Rene Pinnau
URN (permanent link):urn:nbn:de:hbz:386-kluedo-15066
Serie (Series number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (272)
Document Type:Report
Language of publication:English
Year of Completion:2007
Year of Publication:2007
Publishing Institute:Technische Universität Kaiserslautern
Date of the Publication (Server):2007/10/02
Tag:Elastoplastizität; Hysterese; Jiangsches konstitutives Gesetz; Ratenunabhängigkeit; Variationsungleichungen
Elastoplasticity; Jiang's constitutive model; hysteresis; rate-independency; variational inequalities
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
MSC-Classification (mathematics):65-XX NUMERICAL ANALYSIS / 65Lxx Ordinary differential equations / 65L99 None of the above, but in this section
74-XX MECHANICS OF DEFORMABLE SOLIDS / 74Cxx Plastic materials, materials of stress-rate and internal-variable type / 74C05 Small-strain, rate-independent theories (including rigid-plastic and elasto-plastic materials)
74-XX MECHANICS OF DEFORMABLE SOLIDS / 74Dxx Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) / 74D10 Nonlinear constitutive equations
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

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