Interaction between Dislocation Pile Ups

Abstract

The interaction between two pile ups containing equal number of dislocations in four different configurations is calculated by an approximate analytical method. The calculated lengths of the interacting pile ups are compared with those obtained numerically, and shown to be in good agreement. Both analytical and numerical results show that the interaction between the pile ups is appreciable when the interplanar spacing of the pile up is less than the length of an isolated pile up. The analytical method presented here could prove useful in the study of strain hardening of solids.