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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 44
ADVANCES IN BOUNDARY ELEMENT METHODS
Edited by: B.H.V. Topping
Paper I.5

Boundary Element Analysis of Wave Scattering in Transversely Isotropic Solids

A. Saez and J. Dominguez

School of Engineering, University of Seville, Seville, Spain

Full Bibliographic Reference for this paper
A. Saez, J. Dominguez, "Boundary Element Analysis of Wave Scattering in Transversely Isotropic Solids", in B.H.V. Topping, (Editor), "Advances in Boundary Element Methods", Civil-Comp Press, Edinburgh, UK, pp 43-51, 1996. doi:10.4203/ccp.44.1.5
Abstract
The general elastodynamic problem for a transversely isotropic linearly elastic solid can be formulated in terms of a set of Boundary Integral Equations (BIE's). These equations can be solved numerically by the Boundary Element Method (BEM). This method is particularly well-suited for wave scattering problems in unbounded bodies since the radiation conditions are automatically satisfied and only the internal boundaries of the problem have to be discretized. For a successful implementation of the method, the elastodynamic fundamental solution (Green's functions for an unbounded solid) has to be known in a relatively simple form. In the present work, a 3-D time-harmonic fundamental solution recently presented by Wang and Achenbach is transformed into expressions which can be evaluated in an efficient way. These transformations make possible the implementation of a Boundary Element code for the analysis of wave propagation problems in transversely isotropic solids. Numerical results obtained for scattering by a spherical cavity embedded in a transversely isotropic solid are presented.

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