an:01343166
Zbl 0932.74075
Sáez, A.; Domínguez, J.
BEM analysis of wave scattering in transversely isotropic solids
EN
Int. J. Numer. Methods Eng. 44, No. 9, 1283-1300 (1999).
0029-5981 1097-0207
1999
j
74S15 74J20
time-harmonic elasticity; fundamental solution; three-dimensional quadratic element code; diffraction of waves; spherical cavity; interaction between two cavities
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.