Journal article
On a dynamic contact problem for elastic-visco-plastic materials
Applied numerical mathematics, Vol.57(5), pp.498-509
2007
DOI: 10.1016/j.apnum.2006.07.003
Abstract
In this paper, we study a mathematical problem for dynamic contact between an elastic-visco-plastic body and an obstacle. The contact is frictionless, modelled with a normal compliance condition involving adhesion effect of contact surfaces. Evolution of the bonding field is described by a first order differential equation. We provide a weak formulation of the contact problem, in the form of an integro-differential system, and present an existence and uniqueness result for its solution. We then introduce and study a fully discrete scheme for solving the problem. While it is possible to show the convergence of the scheme without assuming additional solution regularities, we focus on the derivation of optimal order error estimates under certain solution regularity assumptions.
Details
- Title: Subtitle
- On a dynamic contact problem for 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 Paul Alduy, 66 860 Perpignan, France
- Resource Type
- Journal article
- Publication Details
- Applied numerical mathematics, Vol.57(5), pp.498-509
- Publisher
- Elsevier B.V
- DOI
- 10.1016/j.apnum.2006.07.003
- ISSN
- 0168-9274
- eISSN
- 1873-5460
- Language
- English
- Date published
- 2007
- Academic Unit
- Mathematics
- Record Identifier
- 9983985994602771
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