A variable stiffness parameters method for a quasi-steady rolling problem

Abstract

In this work a variable stiffness parameters method (VSPM) is proposed to a quasisteady rolling problem with slightly compressible, rigid-viscoplastic and isotropic hardening material model and nonlinear Coulomb friction law. The problem is stated in the form of a variational inequality, containing nonlinear and nondifferentiable terms. Under certain restrictions on the material characteristics, the convergence of the VSPM is proved and existence and uniqueness results are obtained. The applicability of the VSPM, combined with the finite element method, is shown, as an example problem is solved numerically.