Non-slipping adhesive contact of rigid cylinder on an elastic power-law graded half-space

TL;DR

This paper analytically investigates the adhesive contact between a rigid cylinder and an elastic power-law graded half-space, highlighting the coupling effects between tangential and normal directions and their influence on contact behavior.

Contribution

It introduces an analytical approach considering coupling effects in adhesive contact on graded materials, including the impact of bending moments.

Findings

Coupling effect reduces contact area in compression.

Existence of a critical bending moment for separation.

Critical bending moment is unaffected by material gradient exponent.

Abstract

In this paper, adhesive contact of a rigid cylinder on an elastic power-law graded half-space is studied analytically with the theory of weakly singular integral equation and orthogonal polynomial method. Emphasis is placed on the coupling effect between tangential and normal directions which was often neglected in previous works. Our analysis shows that the coupling effect tends to minimize the contact area in the compressive regime. The effect of bending moment on the adhesion behavior is also examined. Like a pull-off force, there also exist a critical bending moment at which the cylinder can be bended apart from the substrate. However, unlike pull-off force, the critical bending moment is insensitive to the gradient exponent of the graded material.