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A homotopy between the solutions of the elastic and elastoplastic boundary value problem

  • In this article, we give an explicit homotopy between the solutions (i.e. stress, strain, displacement) of the quasistatic linear elastic and nonlinear elastoplastic boundary value problem, where we assume a linear kinematic hardening material law. We give error estimates with respect to the homotopy parameter.
  • In diesem Artikel geben wir eine explizite Homotopie zwischen den Lösungen (d.h. Spannung, Dehnung, Verschiebung) des quasistatischen linear elastischen und nichtlinearen elastoplastischen Randwertproblems, wobei wir ein linear kinematisches Verfestigungsgesetz für das Material annehmen. Wir geben Fehlerabschätzungen bezüglich des Homotopieparameters.

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Metadaten
Author:Holger Lang, Klaus Dressler, Rene Pinnau, Gerd Bitsch
URN:urn:nbn:de:hbz:386-kluedo-14483
Series (Serial Number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (268)
Document Type:Report
Language of publication:English
Year of Completion:2006
Year of first Publication:2006
Publishing Institution:Technische Universität Kaiserslautern
Creating Corporation:Lang, Holger
Contributing Corporation:DFG, Fraunhofer-Gesellschft, GKMP "Mathematik und Praxis", TU Kaiserslautern
Date of the Publication (Server):2006/09/22
Tag:Elastisches RWP; Elastoplastisches RWP; Homotopie; Linear kinematische Verfestigung; Stop- und Play-Operator
Elastic BVP; Elastoplastic BVP; Homotopy; Linear kinematic hardening; Stop- and Play-Operators
Faculties / Organisational entities:Kaiserslautern - Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
MSC-Classification (mathematics):47-XX OPERATOR THEORY / 47Jxx Equations and inequalities involving nonlinear operators [See also 46Txx] (For global and geometric aspects, see 58-XX) / 47J20 Variational and other types of inequalities involving nonlinear operators (general) [See also 49J40]
52-XX CONVEX AND DISCRETE GEOMETRY / 52Axx General convexity / 52A05 Convex sets without dimension restrictions
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)
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011