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A frictionless contact problem for elastic–viscoplastic materials with normal compliance and damage

✍ Scribed by O. Chau; J.R. Fernández-Garcı́a; W. Han; M. Sofonea

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
397 KB
Volume
191
Category
Article
ISSN
0045-7825

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✦ Synopsis

We study a quasistatic frictionless contact problem with normal compliance and damage for elastic-viscoplastic bodies. The mechanical damage of the material, caused by excessive stress or strain, is described by a damage function whose evolution is modelled by an inclusion of parabolic type. We provide a variational formulation for the mechanical problem and sketch a proof of the existence of a unique weak solution to the model. We then introduce and study a fully discrete scheme for the numerical solutions of the problem. An optimal order error estimate is derived for the approximate solutions under suitable solution regularity. Numerical examples are presented to show the performance of the method.

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