Stress and Displacement Fields in the Surface of an Elastic Half-Space under the Action of a Constant Shear Load over a Circular Contact Domain

TL;DR

This paper derives exact analytical solutions for stress and displacement fields on an elastic half-space surface subjected to constant shear over a circular contact, aiding numerical validation and contact mechanics analysis.

Contribution

It provides closed-form solutions for stress and displacement fields under shear load on a circular contact, serving as benchmarks for numerical models.

Findings

Exact stress and displacement fields derived

Solutions applicable for benchmarking numerical models

Useful for analyzing adhesive sliding contacts

Abstract

Based on the superposition of incremental frictional surface tractions that, in the case of an incompressible elastic half-space, correspond to a rigid tangential translation of a circular contact domain, the stress and displacement fields in the surface are determined in closed analytic form for an elastic half-space under the action of a constant shear traction over a circular contact domain on the surface. The obtained exact solutions can serve as benchmarks for numerical models, or can be used for the deeper contact-mechanical analysis of adhesive sliding contacts of soft materials.