THE INSTABILITY OF SHEAR NORMAL WAVE IN ELASTIC WAVEGUIDE OF WEAKLY INHOMOGENEOUS MATERIAL
Journal Title: Հայաստանի գիտությունների ազգային ակադեմիայի տեղեկագիր․ Մեխանիկա - Year 2016, Vol 69, Issue 3
Abstract
The influence of a weak longitudinal inhomogeneity on normal shear waves under different mechanical boundary conditions is investigated. It is shown, that for clamped smooth surfaces of isotropic elastic layer, occurs asymmetric localization of wave energy near the mid-surface layer. On the other side, for mechanically free smooth surfaces, near-surface localization of wave energy appears near mechanically free surfaces of the waveguide, but more intense localization appears again near the mid-surface layer. In both cases, due to the influence of material inhomogeneity on the normal wave, some distortion of amplitude and phase functions occur due to the change of formation coefficients (of frequencies). In both cases of boundary conditions, the weak inhomogeneity of the material leads to presence of frequency zones of transmission or prohibition of the formed wave. It is shown, that it is possible internal resonance in some higher forms.
Authors and Affiliations
A. Hunanyan
Micropolar theory of thin bars, plates and shells.
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On the nature of stresses in the fixed vicinity of the junction surface brink of a composite elastic body loaded in conditions of a plane problem of the elasticity theory.
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To the problem of calculating of electrostrictive effect in prestressed ferroelectric shells.
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About two-dimensional equations of two-layer anisotropic plate when the layers interact by law dry friction
Asymptotic method is applied and two dimension differential equations with partial derivatives from geometrically nonlinear equations of three dimension problem of elasticity theory for two-layer anisotropic plate are re...
Large elastic deformations of flexure and extension of a tube section heteroresistant to tension and compression.
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