Journal article
Numerical analysis of a frictionless contact problem for elastic–viscoplastic materials
Computer methods in applied mechanics and engineering, Vol.190(1), pp.179-191
2000
DOI: 10.1016/S0045-7825(99)00420-X
Abstract
We consider a mathematical model which describes the unilateral quasistatic contact of two elastic–viscoplastic bodies. The contact is without friction and it is modeled by the classical Signorini boundary conditions. The model consists of an evolution equation coupled with a time-dependent variational inequality. It has been shown that the variational problem of the model has a unique solution. Here we consider numerical approximations of the problem. We use the finite element method to discretize the spatial domain. Spatially semi-discrete and fully discrete schemes are studied. For both schemes, we show the existence of a unique solution, and derive error estimates. Under appropriate regularity assumptions of the solution, we have the optimal order convergence.
Details
- Title: Subtitle
- Numerical analysis of a frictionless contact problem for elastic–viscoplastic materials
- Creators
- Weimin Han - Department of Mathematics, University of Iowa, Iowa City, IA 52242-1410, USAMircea Sofonea - Laboratoire de Théorie des Systèmes, University of Perpignan, France
- Resource Type
- Journal article
- Publication Details
- Computer methods in applied mechanics and engineering, Vol.190(1), pp.179-191
- DOI
- 10.1016/S0045-7825(99)00420-X
- ISSN
- 0045-7825
- eISSN
- 1879-2138
- Publisher
- Elsevier B.V
- Language
- English
- Date published
- 2000
- Academic Unit
- Mathematics
- Record Identifier
- 9983985864602771
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