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The Quarterly Journal of Mechanics and Applied Mathematics 1997 50(3):481-496; doi:10.1093/qjmam/50.3.481
© 1997 by Oxford University Press
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ON FRICTIONLESS CONTACT BETWEEN TWO ELASTIC-VISCOPLASTIC BODIES

MOHAMED ROCHDI and MIRCEA SOFONEA

( Department of Mathematics, University of Perpignan 52 Avenue de Villeneuve, 66 860 Perpignan, France )

A quasistatic contact problem between two elastic-viscoplastic bodies involving frictionless boundary conditions is considered. Two variational formulations of this problem are proposed, followed by existence and uniqueness results. An equivalence result 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 a viscosity parameter are also obtained.


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