Dislocation Pile‐up in Two‐Phase Materials

摘要

Based on the theory of continuously distributed dislocations, the equilibrium equations for both edge‐and screw‐dislocation pile‐ups in materials composed of soft and hard phases are formulated in terms of a singular integral equation. The integral equation is solved exactly by using the Wiener‐Hopf technique with Mellin transforms. The dislocation distribution function is found in explicit form. It is shown that the number of dislocations in the piled‐up array can be determined directly from the Mellin transform of the distribution function without its inverse transform.