A frictional contact problem with wear diffusion (Q2421843)

The authors study a model for the dynamic frictional contact between a viscoelastic body and a moving foundation. The contact, described by a generalized compliance condition, includes friction and wear between a viscoelastic body and a reactive foundation. The contact surface is a manifold and the model is related to the wear of mechanical joints and orthopedic biomechanics where the wear debris are trapped. The authors provide the existence of a weak solution by the use a truncation technique and the Kakutani-Ky Fan-Glicksberg fixed point theorem.