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Global spatial regularity for a regularized elasto-plastic model

✍ Scribed by Dorothee Knees

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
104 KB
Volume
34
Category
Article
ISSN
0936-7195

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✦ Synopsis

Abstract

In this note the spatial regularity of weak solutions for a class of elasto‐viscoplastic evolution models is studied for nonsmooth domains. The considered class comprises models which are obtained through a Yosida regularization from classical, rate‐independent elasto‐plastic models. The corresponding evolution model consists of an elliptic PDE for the (generalized) displacements which is coupled with an ordinary differential equation with a Lipschitz continuous nonlinearity describing the evolution of the internal variable. It is shown that the global spatial regularity of the displacements and the inner variables is exactly determined through the mapping properties of the underlying elliptic operator (© 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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