Elastic interactions between disclination loops and inclusion particles

Abstract

An analysis is made of the interaction between inclusion particles and disclination loops. Two aspects of this interaction have been taken into consideration, namely, the effects of volumetric mismatch and modulus mismatch. It can be shown that there is no resultant interaction energy between a particle and a twist disclination loop due to volumetric misfit. On the other hand, the interaction between wedge disclination loops and impurity particles with volumetric misfit results in net interaction energy. Closed−form solutions are obtained for the total interaction force as a function of the separation distance between the defects. As to the effects of modulus mismatch, the long−range interactions between second−phase particles and twist disclination loops have been examined. Inclusion particles with shear moduli higher than those of the matrices tend to repel the disclinations. The forces on the disclination line segments are determined by evaluating the Peach−Koehler forces on the dislocation models of disclination loops.