Abstract

Abstract This paper presents a review on the applications of the extended finite element method (XFEM) in modelling the discontinuities caused by frictional contact between two solid bodies. The extended finite element method is a strong and efficient numerical tool for modelling different discontinuities present in engineering components. XFEM models all types of discontinuities independent of the finite element mesh chosen for analysis. Special functions are included in standard finite element solution to simulate the effect of discontinuities present in the domain. The interface between two bodies is modelled by adding appropriate enrichment functions to the conventional displacement based approximation. The Lagrangian multiplier technique and the Penalty approaches are used for imposing the contact constraints at the contact surface.

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