Mathematical Modeling of Elementary Crystallographic Slip, Limited by an Expanding Piecewise-Continuous Closed Dislocation Loop

Abstract

A mathematical model of elementary crystallographic slip, limited by a closed piecewise-continuous dislocation loop is proposed. A study of the evolution of the first dislocation loop emitted by a dislocation source in copper is carried out. It has been shown that on the dislocation loop on screw orientation and orientations close to it, about half a free path length before the stopping point there arises a concavity, which grows in size up to the stopping of the dislocation loop. In the final configuration the radius of the dislocation loop on screw orientation is practically by an order of magnitude less than the radius on edge orientation.