SOLVABILITY OF A QUASI-STEADY ROLLING PROBLEM WITH SLIGHTLY COMPRESSIBLE MATERIAL MODEL

Abstract

A quasi-steady rolling problem with slightly compressible, rigid-viscoplastic and isotropic hardening material model and nonlinear Coulomb friction law are studied. The problem is stated in the form of a nonlinear variational inequality coupled with an equivalent strain evolution equation. Under restrictions on the material characteristics, existence and uniqueness results are obtained and the convergence of a successive linearization method of solution is proved. An algorithm, combining this method with the finite element method, is proposed and applied to solve numerically an example problem.