Journal article
A frictionless contact problem for elastic–viscoplastic materials with normal compliance and damage
Computer methods in applied mechanics and engineering, Vol.191(44), pp.5007-5026
2002
DOI: 10.1016/S0045-7825(02)00423-1
Abstract
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.
Details
- Title: Subtitle
- A frictionless contact problem for elastic–viscoplastic materials with normal compliance and damage
- Creators
- O Chau - Laboratoire de Théorie des Systèmes, Université de Perpignan, 52 Avenue de Villeneuve, Perpignan 66860, FranceJ.R Fernández-Garcı́a - Departamento de Matemática Aplicada, Universidade de Santiago de Compostela, Facultade de Matemáticas, Campus Sur, Santiago de Compostela 15706, SpainW Han - Department of Mathematics, University of Iowa, 14 MacLean Hall, Iowa City, IA 52242, USAM Sofonea - Laboratoire de Théorie des Systèmes, Université de Perpignan, 52 Avenue de Villeneuve, Perpignan 66860, France
- Resource Type
- Journal article
- Publication Details
- Computer methods in applied mechanics and engineering, Vol.191(44), pp.5007-5026
- Publisher
- Elsevier B.V
- DOI
- 10.1016/S0045-7825(02)00423-1
- ISSN
- 0045-7825
- eISSN
- 1879-2138
- Language
- English
- Date published
- 2002
- Academic Unit
- Mathematics
- Record Identifier
- 9983985807502771
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