Abstract
The aim of this article is to extend the authors' previous work analyzing elastodynamic sliding contact problems with friction to deal with static small deformation elastoplastic problems. In this work, the deformed contact areas are obtained by the constraint conditions developed by a quadratic mathematic programming technique. Lagrangian multipliers are introduced to evaluate the contact pressures due to friction and determine the adhesion or release of contact surface. The plastic behaviors in the contact components are accurately modeled. The influence of material properties and friction effects on the plastic zones and deformations is discussed.