Finite element modeling of wear using the dissipated energy method coupled with a dual mortar contact formulation

Abstract

A finite element formulation for the simulation of two-dimensional frictional contact problems undergoing wear effects is presented. The approach considers multibody contact and accounts for finite configuration changes due to both deformation and wear. The contact discretization is based on the Mortar method while the enforcement of contact constraints is fulfilled with Lagrange multipliers defined in a linear or a quadratic dual-basis. The effects of wear are predicted with the Dissipated energy method using an internal state variable approach that increases the distance between worn bodies by an additional gap. The frictional conditions with wear are enforced using nonlinear complementarity functions, which are solved using a semi-smooth Newton method. A strategy for modeling the contact surface evolution and alleviate the deformation induced element distortion is also presented. The consistent linearization of all quantities yields a robust and efficient algorithm. Numerical examples demonstrate the performance of the proposed framework.