We study a mathematical model for a quasistatic process of contact with normal compliance and friction when the wear of the contact surface due to friction is taken into account. The material is electro-viscoelastic with long memory. We establish a variational formulation for the model and prove the existence and uniqueness of the weak solution. The proof is based on classical results for elliptic variational inequalities and fixed point arguments.
"Frictional contact problem with wear for electro-viscoelastic materials with long memory." Bull. Belg. Math. Soc. Simon Stevin 20 (3) 461 - 479, august 2013. https://doi.org/10.36045/bbms/1378314510