Generalized susceptibility and small oscillations of edge dislocation in the Peierls relief when interacting with point defects

Abstract

In the present work, small oscillations of a rectilinear edge dislocation in a nondissipative crystal are studied. An expression is written for inverse generalized susceptibility of edge dislocation, which takes into account influence of the Peierls relief and elastic interaction with a chain of point defects. It is shown that at, a rectilinear edge dislocation can have only quasi-local oscillations. Expression is found for internal friction due to emission of elastic waves by a oscillating edge dislocation. As an example, oscillations of edge dislocation in aluminum crystal with point defects of "substitution atom" type are considered. Frequencies of quasi-local oscillations of the edge dislocation are calculated and plots of frequency dependence for internal friction are plotted.