THE LIFSHITZ-ROSENZWEIG METHOD IN CALCULATIONS OF THE BIAS OF BASIC DISLOCATION LOOPS IN ZIRCONIUM

Abstract

Analytical expressions for the elastic interaction energy of radiation point defects of the dipole type with basic dislocation loops in zirconium are obtained for edge with Burgers vector bD= 1/2 [0001] and mixed with bDS = 1/6 <2023> using Lifshitz-Rosenzweig method. They were used in numerical calculation (by the finite difference method) of the bias of these loops in a toroidal reservoir taking into account the elastic anisotropy of a hexagonal crystal. The toroidal geometry of the reservoir allows calculations for a loop of any size and without any correction of the elastic field in its area of influence. In the approximation of the center of dilatation, the dependences of the bias of loops on their radius and nature are obtained. It is suggested that bias is determined only by the edge component of its Burgers vector. The essential role of the form of the boundary condition on the outer surface of the reservoir is shown.