Journal article
Analysis and numerical solution of a piezoelectric frictional contact problem
Applied mathematical modelling, Vol.36(9), pp.4483-4501
09/2012
DOI: 10.1016/j.apm.2011.11.077
Abstract
We consider a mathematical model which describes the frictional contact between an electro-elastic–visco-plastic body and a conductive foundation. The contact is modelled with normal compliance and a version of Coulomb’s law of dry friction, in which the stiffness and the friction coefficients depend on the electric potential. We derive a variational formulation of the problem and we prove an existence and uniqueness result. The proof is based on a recent existence and uniqueness result on history-dependent quasivariational inequalities obtained in [15]. Then we introduce a fully discrete scheme for solving the problem and, under certain solution regularity assumptions, we derive an optimal order error estimate. Finally, we present some numerical results in the study of a two-dimensional test problem which describes the process of contact in a microelectromechanical switch.
Details
- Title: Subtitle
- Analysis and numerical solution of a piezoelectric frictional contact problem
- Creators
- Mircea Sofonea - Laboratoire de Mathématiques et Physique, University of Perpignan, 52 Avenue Paul Alduy, 66860 Perpignan, FranceKamran Kazmi - Department of Mathematics, University of Wisconsin Oshkosh, Oshkosh, WI 54901, USAMikael Barboteu - Laboratoire de Mathématiques et Physique, University of Perpignan, 52 Avenue Paul Alduy, 66860 Perpignan, FranceWeimin Han - Department of Mathematics, University of Iowa, Iowa City, IA 52242, USA
- Resource Type
- Journal article
- Publication Details
- Applied mathematical modelling, Vol.36(9), pp.4483-4501
- DOI
- 10.1016/j.apm.2011.11.077
- ISSN
- 0307-904X
- Publisher
- Elsevier Inc
- Language
- English
- Date published
- 09/2012
- Academic Unit
- Mathematics
- Record Identifier
- 9983985917702771
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