Abstract
The mathematical models of micropolar media (Kosser continuum) and media with moment stresses (Le Roux continuum) are used for investigating the propagation of elastic waves in polycrystalline and composite materials [20-21, 24, 27]. In particular, such equations make it possible to describe the dispersion of longitudinal, shear, and surface waves, which has been observed experimentally [i, 17, 20-22]. Nonlinear wave processes within the framework of the Kosser continuum model were investigated in [4-9, 13, 25, 26]. Article [i0] is concerned with derivation of the nonlinear dynamics equations, laws of energy and wave momentum variation for moment-stress media, and periodic and single longitudinal waves. The present article is concerned with two-dimensional stationary shear waves and quasiplane wave beams propagating in elastic and viscoelastic moment-stress media. I. The equations of the dynamics of moment-stress media have the following form [i0]:
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