Development of three-dimensional numerical method for crack analysis with discrete dislocations

Abstract

A three-dimensional numerical method for crack analysis with discrete dislocations was developed. A through crack was modelled with discrete dislocations, and the relaxed dislocation arrangement was obtained using dislocation dynamics method. In order to improve the accuracy of the numerical method, the Burgers vector of dislocations are controlled in accordance with the estimated crack opening. Consequently, the numerical accuracy, stability and computational time could be drastically improved.