Journal article
Analysis and numerical solution of a frictionless contact problem for electro-elastic–visco-plastic materials
Computer methods in applied mechanics and engineering, Vol.196(37), pp.3915-3926
2007
DOI: 10.1016/j.cma.2006.10.051
Abstract
A quasistatic frictionless contact problem is studied, modelled with the Signorini contact condition with a gap function. The material behavior is modelled with an electro-elastic–visco-plastic constitutive law, allowing piezoelectric effects. A weak formulation for the model is given in the form of a coupled system for the displacement, the stress, the electric displacement and the electric potential fields. Existence and uniqueness of a weak solution is proved. A fully discrete scheme is introduced for solving the problem. Under certain solution regularity assumptions, an optimal order error estimate is derived. Some numerical results are reported on a two-dimensional test problem.
Details
- Title: Subtitle
- Analysis and numerical solution of a frictionless contact problem for electro-elastic–visco-plastic materials
- Creators
- Weimin Han - Department of Mathematics, University of Iowa, Iowa City, IA 52242, USAM Sofonea - Laboratoire de Mathématiques et Physique pour les Systèmes, Université de Perpignan, 52 Avenue de Paul Alduy, 66 860 Perpignan, FranceKamran Kazmi - Department of Mathematics, University of Iowa, Iowa City, IA 52242, USA
- Resource Type
- Journal article
- Publication Details
- Computer methods in applied mechanics and engineering, Vol.196(37), pp.3915-3926
- Publisher
- Elsevier B.V
- DOI
- 10.1016/j.cma.2006.10.051
- ISSN
- 0045-7825
- eISSN
- 1879-2138
- Language
- English
- Date published
- 2007
- Academic Unit
- Mathematics
- Record Identifier
- 9983985705902771
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