Abstract
The problem of propagation of high-frequency and low-frequency acoustic waves in a plane elastic waveguide layer on the basis of a simplified model of the Cosserat continuum is considered. In view, the presence of micro polarity of the medium, boundary value problems for plane and antiplane deformations for different combinations of boundary conditions on the waveguide surface are formulated. In a long-wave and a short-wave approximations the obtained results are compared with the results of the classical theory of elasticity. The conditions for a possible localization of the wave energy near the surface of the waveguide are found. It is shown that in the antiplane deformation problem, the considering of micropolarity of the material is not leads to the possibility of existence of high localized forms. The frequency bands of localized and harmonic waveforms are found. In the plane deformation problem, considering of micropolarity of the material under different surface conditions may cause as a distortion of the frequency band of the localized Rayleigh wave existence so as the emergence of a new frequency band of possible localized waves.
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