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.
Author: | H. Lang, G. Bitsch, K. Dreßler, M. Speckert |
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URN: | urn:nbn:de:hbz:386-kluedo-14620 |
Series (Serial Number): | Berichte des Fraunhofer-Instituts für Techno- und Wirtschaftsmathematik (ITWM Report) (99) |
Document Type: | Report |
Language of publication: | English |
Year of Completion: | 2006 |
Year of first Publication: | 2006 |
Publishing Institution: | Fraunhofer-Institut für Techno- und Wirtschaftsmathematik |
Creating Corporation: | Fraunhofer ITWM |
Date of the Publication (Server): | 2006/11/15 |
Tag: | 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 |
Faculties / Organisational entities: | Fraunhofer (ITWM) |
DDC-Cassification: | 5 Naturwissenschaften und Mathematik / 510 Mathematik |
Licence (German): | Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011 |