BEM analysis of wave scattering in transversely isotropic solids. (English) Zbl 0932.74075

We develop a boundary element approach for wave propagation problems in transversely isotropic solids. The procedure is based on the well-known formulation for time-harmonic elasticity and a new version of a 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.


74S15 Boundary element methods applied to problems in solid mechanics
74J20 Wave scattering in solid mechanics
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