Journal article
A dynamic viscoelastic contact problem with normal compliance and damage
Finite elements in analysis and design, Vol.42(1), pp.1-24
2005
DOI: 10.1016/j.finel.2005.04.003
Abstract
We consider a model for dynamic frictionless contact between a viscoelastic body and a foundation. The material constitutive relation is assumed to be nonlinear and the contact is modelled with the normal compliance condition. The mechanical damage of the material, caused by excessive stress or strain, is described by the damage function, the evolution of which is determined by a parabolic inclusion. We derive a variational formulation for the problem and prove the existence of its unique weak solution. We then study a fully discrete scheme for the numerical solutions of the problem and obtain error estimates on the approximate solutions. Finally, we report some numerical results in the simulation of two-dimensional test problems.
Details
- Title: Subtitle
- A dynamic viscoelastic contact problem with normal compliance and damage
- Creators
- M Campo - Departamento de Matemática Aplicada, Universidade de Santiago de Compostela, Facultade de Matemáticas, Campus Sur s/n, 15782 Santiago de Compostela, SpainJ.R Fernández - Departamento de Matemática Aplicada, Universidade de Santiago de Compostela, Facultade de Matemáticas, Campus Sur s/n, 15782 Santiago de Compostela, SpainW Han - Department of Mathematics, University of Iowa, Iowa City, IA 52242-1410, USAM Sofonea - Laboratoire de Mathématiques et Physique pour les Systèmes, Université de Perpignan, 52 Avenue de Paul Alduy, 66860 Perpignan, France
- Resource Type
- Journal article
- Publication Details
- Finite elements in analysis and design, Vol.42(1), pp.1-24
- Publisher
- Elsevier B.V
- DOI
- 10.1016/j.finel.2005.04.003
- ISSN
- 0168-874X
- eISSN
- 1872-6925
- Language
- English
- Date published
- 2005
- Academic Unit
- Mathematics
- Record Identifier
- 9983986091102771
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