## Comparison of the solutions of the elastic and elastoplastic boundary value problems

• In this article, we consider the quasistatic boundary value problems of linear elasticity and nonlinear elastoplasticity, with linear Hooke’s law in the elastic regime for both problems and with the linear kinematic hardening law for the plastic regime in the latter problem. We derive expressions and estimates for the difference of the solutions of both models, i.e. for the stresses, the strains and the displacements. To this end, we use the stop and play operators of nonlinear functional analysis. Further, we give an explicit example of a homotopy between the solutions of both problems.

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Verfasserangaben: H. Lang, G. Bitsch, K. Dreßler, M. Speckert urn:nbn:de:hbz:386-kluedo-14620 Berichte des Fraunhofer-Instituts für Techno- und Wirtschaftsmathematik (ITWM Report) (99) Bericht Englisch 2006 2006 Fraunhofer-Institut für Techno- und Wirtschaftsmathematik Fraunhofer ITWM 15.11.2006 Elastic BVP ; elastoplastic BVP ; linear kinematic hardening ; rate-indepenhysteresis ; stop- and play-operator; variational inequalities Elastic BVP; elastoplastic BVP ; linear kinematic hardening ; rate-indepenhysteresis ; stop- and play-operator; variational inequalities Fraunhofer (ITWM) 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

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