Journal article
Analysis and approximation of a viscoelastic contact problem with slip dependent friction
Dynamics of continuous, discrete & impulsive systems. Series B, Applications & algorithms, Vol.8(2), pp.153-174
06/01/2001
Abstract
We consider a mathematical model for the quasistatic bilateral contact of a viscoelastic body with a rigid foundation. The contact is modeled with Tresca's friction law with the friction bound depending on the total slip, We present the classical as wen as variational formulations of the problem and establish the existence and uniqueness of a weak solution. We then turn to numerical approximations of the problem. For both spatially semi-discrete and fully discrete schemes we show the existence of the unique solution and derive error estimates.
Details
- Title: Subtitle
- Analysis and approximation of a viscoelastic contact problem with slip dependent friction
- Creators
- O ChauW M HanM Sofonea
- Resource Type
- Journal article
- Publication Details
- Dynamics of continuous, discrete & impulsive systems. Series B, Applications & algorithms, Vol.8(2), pp.153-174
- Publisher
- WATAM PRESS
- ISSN
- 1492-8760
- Number of pages
- 22
- Language
- English
- Date published
- 06/01/2001
- Academic Unit
- Mathematics
- Record Identifier
- 9984240776402771
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