A short note on time integration stability of dynamic frictional contact problems of elastic bodies

Abstract

The purpose of this work is to demonstrate that, even when severe vibration and chattering occur due to the friction between the sliding elastic bodies, the equation of motion can be time integrated without numerical instability by imposing the displacement, velocity, and acceleration contact constraints. In this work, with the numerical simulations using the finite element model, the stability and reliability of the present solution are compared with the ANSYS solution using the augmented Lagrange multiplier technique.