January  1998, 4(1): 55-72. doi: 10.3934/dcds.1998.4.55

Analysis of a quasistatic viscoplastic problem involving tresca friction law

1. 

Department of Mathematics, University of Perpignan, 52 Avenue de Villeneuve, 66860 Perpignan, France, France

Received  May 1996 Revised  January 1997 Published  October 1997

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.
Citation: Amina Amassad, Mircea Sofonea. Analysis of a quasistatic viscoplastic problem involving tresca friction law. Discrete and Continuous Dynamical Systems, 1998, 4 (1) : 55-72. doi: 10.3934/dcds.1998.4.55
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