Comparison of the solutions of the elastic and elastoplastic boundary value problems
Lang H, Dreßler K, Pinnau R, Speckert M (2009)
Publication Language: English
Publication Type: Journal article, Original article
Publication year: 2009
Journal
Book Volume: 61
Pages Range: 635 - 653
Abstract
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. In particular, 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 a description in the language of stop and play operators. We give an explicit example of a homotopy between the solutions of both problems. Further, it is shown that the stress of the elastic model can be estimated by a constant times the stress of the elastoplastic model in L2-norm.
Authors with CRIS profile
Involved external institutions
Fraunhofer-Institut für Techno- und Wirtschaftsmathematik (ITWM) / Fraunhofer Institute for Industrial Mathematics
Germany (DE)
Technische Universität Kaiserslautern
Germany (DE)
Germany (DE)
Technische Universität Kaiserslautern
Germany (DE)
How to cite
APA:
Lang, H., Dreßler, K., Pinnau, R., & Speckert, M. (2009). Comparison of the solutions of the elastic and elastoplastic boundary value problems. Zeitschrift für Angewandte Mathematik und Physik, 61, 635 - 653.
MLA:
Lang, Holger, et al. "Comparison of the solutions of the elastic and elastoplastic boundary value problems." Zeitschrift für Angewandte Mathematik und Physik 61 (2009): 635 - 653.
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