Relaxation of edge dislocations in metals under the action of external stresses

The study of the relaxation of edge dislocations (ED) in metals under the action of alternating external stresses of various natures is of great practical interest for estimating of workability of structural elements and functional materials of nuclear power and thermonuclear fusion power plants. In the model of the inhomogeneous dissipative sine – Gordon equation for different values of the amplitude and frequency of the external harmonic force, as well as for different values of dislocation friction, the nonlinear dynamics of ED with fixed ends is studied numerically. The formation of breather-type solitons on the ED is shown, the maximum amplitude of which decreases with increasing dislocation friction. The resonance dependence of the kinetic energy of ED oscillations on the frequency of the external field is described. It has a maximum value for the resonant frequency and decreases with increasing numerically found resonance frequencies. (author)