Journal article
Numerical analysis of a quasistatic problem of sliding frictional contact with wear
Methods and applications of analysis, Vol.7(4), pp.687-704
2000
DOI: 10.4310/MAA.2000.v7.n4.a5
Abstract
We consider numerical approximations of a quasistatic problem modeling the sliding frictional contact with wear between a viscoelastic body and a rigid moving foundation. The contact is modeled with the Coulomb's law of dry friction and the wear is described by a version of Archard's law. The variational formulation of the problem consists of a nonlinear evolutionary equation coupled with a time-dependent variational inequality with nonlinear differential operators, which has a unique solution under certain assumptions on the given data. We derive error estimates for both spatially semi-discrete and fully discrete schemes to solve the problem. Under appropriate regularity assumptions on the exact solution, we establish optimal order error estimates.
Details
- Title: Subtitle
- Numerical analysis of a quasistatic problem of sliding frictional contact with wear
- Creators
- Jiuhua ChenWeimin HanMircea Sofonea
- Resource Type
- Journal article
- Publication Details
- Methods and applications of analysis, Vol.7(4), pp.687-704
- DOI
- 10.4310/MAA.2000.v7.n4.a5
- ISSN
- 1073-2772
- eISSN
- 1945-0001
- Language
- English
- Date published
- 2000
- Academic Unit
- Mathematics
- Record Identifier
- 9984242447802771
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