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The Propagation of High-Frequency Shear Elastic Waves on Interface of Isotropic Elastic Half-Spaces with Canonical Surface Protrusions

American Journal of Earth Science and Engineering
Vol.1 , No. 2, Publication Date: Apr. 10, 2018, Page: 114-128

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Authors

[1]	Ara S. Avetisyan, Department of Dynamics of Deformable Systems and Coupled Fields, Institute of Mechanics, Yerevan, Armenia.
[2]	Mels V. Belubekyan, Department of Dynamics of Deformable Systems and Coupled Fields, Institute of Mechanics, Yerevan, Armenia.
[3]	Karen B. Ghazaryan, Department of Dynamics of Deformable Systems and Coupled Fields, Institute of Mechanics, Yerevan, Armenia.

Abstract

The wave phenomena on the contact of two isotropic elastic half-spaces with canonical surface protrusions is investigated. The junction of two half-spaces is modeled as a three-layer waveguide consisting of two homogeneous half-spaces and embedded, periodically inhomogeneous inner layer. The conditions of wave propagation of allowed frequencies are obtained in periodically inhomogeneous layered structure. The problem of wave formation in transversely periodic cells of the composite waveguide is solved. As a particular case, the propagation of high-frequency (shortwave) wave signal along the composite waveguide is numerically investigated. The variety of generated waves through the thickness of composite waveguide are given depending on the relative linear dimensions of the layers and physico-mechanical characteristics of materials of the composite waveguide. The bands of allowed (or forbidden) frequencies are defined for these forms.

Keywords

Wave Signal, Composite Waveguide, Non-smooth Surface, Periodic Heterogeneity, Forbidden Frequencies

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