Analysis of a quasistatic viscoplastic problem involving tresca friction law

Amina Amassad; Mircea Sofonea

doi:10.3934/dcds.1998.4.55

Article Contents

1998, Volume 4, Issue 1: 55-72. Doi: 10.3934/dcds.1998.4.55

This issue Previous Article Some properties of ergodic attractors for controlled dynamical systems Next Article Remarks on resolvent positive operators and their perturbation

Analysis of a quasistatic viscoplastic problem involving tresca friction law

Amina Amassad^1, and
Mircea Sofonea^1,

1.
Department of Mathematics, University of Perpignan, 52 Avenue de Villeneuve, 66860 Perpignan

Received: April 30, 1996

Revised: December 31, 1996

Published: December 1997

Abstract Related Papers Cited by

Abstract

The quasistatic evolution of an elastic-viscoplastic body in bilateral contact with a rigid foundation is considered. The contact involves viscous friction of Tresca type. Two variational formulations of the problem are proposed, followed by existence and uniqueness results. Some properties involving the equivalence between the previous variational formulations, the continuous dependence of the solution with respect to the data as well as a convergence result with respect to the friction yield limit are also obtained.

Keywords:

Mathematics Subject Classification: 73E60, 49J40, 47H15.

Citation:

Article Metrics

HTML views() PDF downloads(158) Cited by(0)

Analysis of a quasistatic viscoplastic problem involving tresca friction law

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Analysis of a quasistatic viscoplastic problem involving tresca friction law

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content