Stress fields due to dislocation walls in infinite and semi-infinite bodies

摘要

Stress fields due to dislocation walls in infinite and semi-infinite bodies are derived. Finite, infinite, and semi-infinite walls of identical edge dislocations with uniform spacing are considered. The results corresponding to walls with discrete dislocation distributions are compared to those of the walls with continuous distribution of infinitesimal dislocations. The stress relaxation effects produced by the free surface in the neighborhood of a dislocation wall are studied. It is shown that the long range stresses are exerted by bounded walls in both infinite and semi-infinite bodies. The stress divergence or its absence is discussed for various wall configurations.