Abstract
A theoretical basis of the original incremental description of the frictional contact problem of two thermo-elastic or thermo-elastoplastic (with or without isotropic hardening) bodies moving together is presented. The contact models allows the contact area to change. The friction models account for either Coulomb or elasto-Coulombian slips and assume either constant or varying friction coefficient. The general FE algorithm takes advantage of the proper variational formulation based on the incremental form of the potential energy functional. A general flow diagram for the problem solution is presented. Generation of element stiffnesses and forces, global stiffness matrix and global nodal force vector formation are mentioned in order to provide a background for a thorough presentation of the procedures due to contact aspects such as an algorithm for division of the potential contact area into component parts of gap, adhesion, and slip (or gap, elastic slip, and elasto-Coulombian slip), an algorithm for imposing unilateral normal contact and adhesion constraints, an algorithm for calculation of frictional terms (friction force increments and surface stiffnesses), and special iterative scheme within an incremental step. The algorithm is coded in program PLAST described in a companion paper.
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