Improved Influence Functions For Uniform Triangular Dislocation Density Functions

Abstract

There is increasing interest in the use of dislocation methods for stress analysis. In a recent paper, McKellar, Hills, and Sackfield presented a method for obtaining the stress field induced by a triangular area of constant dislocation density. The current paper describes a simplification of the formulae, which is more robust and easier to implement. This new formulation easily extends to any polygon.