Abstract

Abstract.This paper deals with a regularised integral equation formulation for contact problems on elastic-plastic bodies, under the plane strain assumption. The formulation has been implemented for indentation and rolling/sliding contact problems on isotropic homogeneous half planes. It constitutes a natural extension to non-linear problems of the classical analytical methods developed for linear elastic contact mechanics. Two versions of an implicit elastic-plastic constitutive integration algorithm, dealing with loads respectively fixed or moving at constant velocity, have been implemented in this integral equation framework. The steady-state version can be applied to multiple rolling/sliding loads and to the determination of the stabilised elastic-plastic state. Several numerical examples illustrate the various aspects of our formulation: fixed or moving load, contact pressure known a priori or iteratively computed, numerical classification of the stabilised elastic-plastic states reached as a functio...

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