Effect of Arbitrarily Directed Tangential Force on Elastic Contacting Bodies

Abstract

Based on the Mindlin-Deresiewicz displacement field solution, a simple method is presented to obtain the force-displacement relationship for a contact between two elastically similar bodies. The bodies are initially pressed together along the normal to their mutual tangential plane and subsequently loaded by a monotonically increasing tangential force acting at an angle to the axes of the contact ellipse. The results are derived based on both no-slip and microslip assumptions, and compared with the available solutions.