Configuration of normal vibrations in an unbounded medium containing dislocations with allowance for energy dissipation

Abstract

On the basis of the calibration model of “plastically incompressible” medium with dissipation we consider the structure of vibrations in an unbounded medium with dislocations. Inclusion of dissipation of weakly damped low-frequency vibrations of volume contraction and high-frequency longitudinal sound vibrations is shown to cause a considerable change in the structure of normal vibrations. For a certain dissipation weakly damped low-frequency vibrations of volume contraction and high-frequency longitudinal sound vibrations are described by one branch of the dispersion relation. The structure of the vibrations changes from “liquid-like” vibrations to longitudinal sound vibrations in the neighborhood of ω, which together with the boundary frequency ω₀ of “optical” vibrations is characteristic. The calibration model including energy dissipation does not describe the “Cosser liquid.”