Effect of Surface Elasticity on Mode-3 Crack Stress Fields

TL;DR

This paper investigates how surface elasticity influences the stress and displacement fields around Mode-3 cracks in nano-structures, revealing non-$K$ terms and their impact on classical assumptions.

Contribution

It introduces a model accounting for surface stress effects on Mode-3 crack fields, highlighting deviations from classical elasticity near the crack tip.

Findings

Surface stress induces non-$K$ terms near the crack tip.

Surface effects alter the conventional small-scale yielding assumptions.

The analysis provides insights into nano-structure fracture mechanics.

Abstract

The surface stress can have important effects on the elastic properties of nano-sized structures. Here we analyze the effect of surface stress on Mode-3 crack displacement and stress-field solutions under the assumption of linear elasticity. We show that surface effects generate non-$K$ terms near the crack-tip. We also find the effect of such terms on the conventional small-scale yielding assumption.