Volume 13, Number 2, Summer 2005
A QUASISTATIC CONTACT PROBLEM WITH
SLIP-DEPENDENT COEFFICIENT OF
FRICTION FOR NONLINEAR ELASTIC
AREZKI TOUZALINE AND ALAIN MIGNOT
Abstract. The aim of this paper is to study the quasistatic
contact problem with simplified Tresca model of slip-dependent
coefficient of friction for nonlinear elastic materials.
The existence of a solution is obtained under a smallness
assumption of the normal stress prescribed on the contact surface
and the coefficient of friction by using a time-discretization
method, compactness and lower semicontinuity aguments.