Journal article
Numerical analysis of history-dependent variational–hemivariational inequalities with applications to contact problems
European journal of applied mathematics, Vol.26(4), pp.427-452
08/2015
DOI: 10.1017/S095679251500011X
Abstract
A new class of history-dependent variational–hemivariational inequalities was recently studied in Migórski et al. (2015Nonlinear Anal. Ser. B: Real World Appl.22, 604–618). There, an existence and uniqueness result was proved and used in the study of a mathematical model which describes the contact between a viscoelastic body and an obstacle. The aim of this paper is to continue the analysis of the inequalities introduced in Migórski et al. (2015Nonlinear Anal. Ser. B: Real World Appl.22, 604–618) and to provide their numerical analysis. We start with a continuous dependence result. Then we introduce numerical schemes to solve the inequalities and derive error estimates. We apply the results to a quasistatic frictional contact problem in which the material is modelled with a viscoelastic constitutive law, the contact is given in the form of normal compliance, and friction is described with a total slip-dependent version of Coulomb's law.
Details
- Title: Subtitle
- Numerical analysis of history-dependent variational–hemivariational inequalities with applications to contact problems
- Creators
- MIRCEA Sofonea - Université de PerpignanWEIMIN Han - University of IowaSTANISŁAW Migórski - Jagiellonian University
- Resource Type
- Journal article
- Publication Details
- European journal of applied mathematics, Vol.26(4), pp.427-452
- DOI
- 10.1017/S095679251500011X
- ISSN
- 0956-7925
- eISSN
- 1469-4425
- Publisher
- Cambridge University Press
- Number of pages
- 26
- Language
- English
- Date published
- 08/2015
- Academic Unit
- Mathematics
- Record Identifier
- 9984240763902771
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