Diffraction of a Plane Elastic Wave by a Gradient Transversely Isotropic Layer.

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Bibliographic Details
Title: Diffraction of a Plane Elastic Wave by a Gradient Transversely Isotropic Layer.
Authors: Anufrieva, Anastasiia1, Tumakov, Dmitrii1 dtumakov@ksu.ru
Source: Advances in Acoustics & Vibration. 2013, p1-8. 8p.
Subjects: Elastic wave diffraction, Boundary value problems, Fourier transforms, Young's modulus, Ordinary differential equations, Isotropic properties
Abstract: The problem of diffraction of a plane elastic wave by a gradient transversely isotropic layer is considered. Using the method of overdetermined boundary value problem in combination with the Fourier transform method, the system of ordinary differential equations of the second order with boundary conditions of the third type is obtained which is solved by the grid method. Results of calculations obtained using the above-mentioned technique for the case of piecewise linear profiles for the Young modulus of the layer are given. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:The problem of diffraction of a plane elastic wave by a gradient transversely isotropic layer is considered. Using the method of overdetermined boundary value problem in combination with the Fourier transform method, the system of ordinary differential equations of the second order with boundary conditions of the third type is obtained which is solved by the grid method. Results of calculations obtained using the above-mentioned technique for the case of piecewise linear profiles for the Young modulus of the layer are given. [ABSTRACT FROM AUTHOR]
ISSN:16876261
DOI:10.1155/2013/262067