Effect of the Cyclic Loading and Deformation of a Material on the Characteristics of Propagation of a Longitudinal Acoustic Wave

A new approach is proposed for theoretical description of laws of propagation of a longitudinal acoustic wave in a solid with variable dislocation structure and increasing dislocation density. As distinct from the classical Granato–Lucke model, the approach proposed takes into account the interaction between dislocations. This makes it possible to describe experiments studying the laws of propagation of elastic waves in samples cyclically loaded and deformed. The effect of the dislocation density on both the attenuation and the velocity of an elastic wave is analyzed. It is shown that there is a peak in the dependence of attenuation on the dislocation density. The results obtained are compared with the experimental data on the dependence of the attenuation and the velocity of the wave on the number of the load cycles or the magnitude of the strain.