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Surface perturbation of an elastodynamic contact problem with friction

Published online by Cambridge University Press:  30 July 2003

JEAN-CLAUDE PAUMIER  and
YVES RENARD
JEAN-CLAUDE PAUMIER
Affiliation:
LMC-IMAG, BP 53X, F-38041 Grenoble, France email: [email protected]
YVES RENARD
Affiliation:
INSAT, MIP, 135, avenue de Rangueil, 31077 Toulouse, France email: [email protected]
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Abstract

We consider the dynamic process of an elastic body in unilateral frictional contact with a rigid foundation. Friction is modelled with the Coulomb law with a coefficient that depends on the slip velocity. To allow for velocity discontinuities we use the elastodynamic (hyperbolic) framework. Nevertheless, this does not lead to a well-posed problem. To remedy this, we perturb the solution of the elastodynamic problem in a thin layer next to the contact boundary. This is a generalisation of an approach previously studied in a one-dimensional case. We establish existence and uniqueness results for the perturbed and regularised problem and provide an interpretation of this perturbation.

Type
Papers
Information
European Journal of Applied Mathematics , Volume 14 , Issue 4 , August 2003 , pp. 465 - 483
Copyright
2003 Cambridge University Press

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