Size‐dependent elastic interaction between a screw dislocation and a circular nano‐hole with surface stress

Abstract

AbstractThe effect of surface stress on the size‐dependent interaction of a screw dislocation with a circular nano‐hole under remote antiplane shear loads is examined. By using the complex variable method, the analytical expressions of the complex potential in infinite matrix and the image force acting on the screw dislocation are obtained. The associated solutions to the problem of a screw dislocation interacting with a nano‐inhomogeneity are also given. The results show that the influence of the surface stress on the motion of the dislocation near the hole becomes remarkable when the size of the hole is reduced to nanometer scale, leading to that the normalized image force depends on the hole size which differs from the size‐independent classical elastic solution. Our results are helpful in the understanding of the motion mechanism of the dislocation and relevant physical phenomena in nano‐structured materials. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)