Probability distribution of internal stress in relaxed dislocation systems

Abstract

The probability distribution of the internal shear stress generated by systems of straight, parallel edge dislocations is studied. The stress distribution functions of randomly distributed dipoles and walls are calculated analytically. The stress distribution function of relaxed systems is also calculated analytically assuming relaxed configurations to be made up of uncorrelated perfect dipoles and walls. The resulting relaxed stress distribution function is compared to numerical simulations.