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BEM analysis of wave scattering in transversely isotropic solids
Author(s) -
Sáez A.,
Domínguez J.
Publication year - 1999
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19990330)44:9<1283::aid-nme544>3.0.co;2-o
Subject(s) - transverse isotropy , boundary element method , computation , isotropy , diffraction , scattering , mathematical analysis , method of fundamental solutions , boundary value problem , quadratic equation , mathematics , physics , finite element method , geometry , optics , algorithm , singular boundary method , thermodynamics
A boundary element approach for wave propagation problems in transversely isotropic solids is developed in this paper. The procedure is based on the well‐known formulation for time‐harmonic elasticity and a new version of a recently obtained fundamental solution for transversely isotropic media. The fundamental solution is transformed to obtain new expressions which can be efficiently evaluated at any point. This fact allows for a drastic reduction of the computation time and makes possible the implementation of a general purpose three‐dimensional quadratic element code. To show the simplicity and accuracy of the approach, the diffraction of waves by a spherical cavity and the interaction between two cavities in a boundless domain are studied. The computed results show a very good agreement with the analytical solution in the simple case where such solution exists. Other geometries can be studied without difficulty. Copyright © 1999 John Wiley & Sons, Ltd.