Finite element analysis of elastodynamic sliding contact problems with friction

Abstract

This paper presents a general but effective finite element technique to analyze elastodynamic sliding contact problems with friction. The deformed contact area is obtained using 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. Based on these, the sliding process between two contact surfaces is accurately modelled. This work also provides the correction formulae for modelling the transient response of velocities and accelerations on the contact surface when the initial impact or release of the contact surface occurred. Several numerical examples are carried out to demonstrate the validity and accuracy of this work. The complete scheme of the transient sliding response of two contact components subjected to oblique impact loadings is drawn.