Computational Algorithm for Investigation Large Elastoplastic Deformations with Contact Interaction

Abstract

Abstract: The paper is dedicated to the construction of a computationalalgorithm for the investigation of solids, taking into accountthe material and geometric nonlinearity and contact interaction.In the framework of the previously developed algorithm for theinvestigation of large elastoplastic deformations of solids thesolutions of contact problems are derived. The algorithm has beenbased on the equation of the principle of virtual work in velocityterms. Contact interaction is modeled over the basis of themaster-slave approach with penalty method. The closest pointprojection procedure is used to find the contact area. For thesolution of the nonlinear system of equations incremental methodis applied. The numerical implementation is based on the finiteelement method.