Spectrum of normal oscillations of a dislocation ensemble in a viscoplastic medium

Dynamic equations of a dislocation ensemble are derived within the framework of the gauge model of an elastic body with defects. The governing relation between the defect field and the material continuum is obtained with allowance for the analogy between the equations obtained and Maxwell's electrodynamic equations. In the phenomenological theories of plasticity, this relation corresponds to the definition of a viscoplastic body. The dispersion relations and configurations of the normal oscillations of a dislocation ensemble in a viscoplastic medium are calculated.