Diffraction of localized shear wave at the edge of semi-infinite crack in compound elastic space
Journal Title: Հայաստանի գիտությունների ազգային ակադեմիայի տեղեկագիր․ Մեխանիկա - Year 2014, Vol 67, Issue 4
Abstract
The diffraction of localized shear plane Love`s wave, falling from infinity in a piecewise-homogeneous elastic space weakened by a semi-infinite crack parallel to the line of heterogeneity is considered. With the help of Fourier transform, mixed boundary value problem of diffraction of elastic waves is reduced to the problem of Riemann type theory of analytic functions on the real axis with the right part of the generalized Dirac function x . Obtaining in generalized functions solution of functional equations allowed us to obtain the distribution of wave field in each subregion of elastic space, as well as asymptotic formulas defining the characteristics of the diffraction field in remote areas
Authors and Affiliations
Edvard Grigoryan, Karo Aghayan, Samvel Jilavyan
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