Journal article
A Dynamic Frictional Contact Problem with Normal Damped Response
Acta applicandae mathematicae, Vol.71(2), pp.159-178
04/2002
DOI: 10.1023/A:1014501802247
Abstract
We consider a mathematical model which describes the frictional contact between a viscoelastic body and a reactive foundation. The process is assumed to be dynamic and the contact is modeled with a general normal damped response condition and a local friction law. We present a variational formulation of the problem and prove the existence and uniqueness of the weak solution, using results on evolution equations with monotone operators and a fixed point argument. We then introduce and study a fully discrete numerical approximation scheme of the variational problem, in terms of the velocity variable. The numerical scheme has a unique solution. We derive error estimates under additional regularity assumptions on the data and the solution.
Details
- Title: Subtitle
- A Dynamic Frictional Contact Problem with Normal Damped Response
- Creators
- O Chau - University of PerpignanW Han - University of IowaM Sofonea - University of Perpignan
- Resource Type
- Journal article
- Publication Details
- Acta applicandae mathematicae, Vol.71(2), pp.159-178
- Publisher
- Kluwer Academic Publishers
- DOI
- 10.1023/A:1014501802247
- ISSN
- 0167-8019
- eISSN
- 1572-9036
- Language
- English
- Date published
- 04/2002
- Academic Unit
- Mathematics
- Record Identifier
- 9984241150302771
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