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Far field dynamic Green’s functions for BEM in transversely isotropic solids

✍ Scribed by A Sáez; J Domı́nguez

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
275 KB
Volume
32
Category
Article
ISSN
0165-2125

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✦ Synopsis

Far field time-harmonic Green's functions for three-dimensional transversely isotropic solids are obtained in this paper. Such functions are important for practical purposes since the evaluation of the exact general solution presents serious numerical difficulties for far field points. The obtained Green's functions can be efficiently evaluated for any transversely isotropic material. A boundary element code for the analysis of wave scattering problems including large regions of transversely isotropic materials has been written. The general or the present far field Green's functions are used at each point in the boundary element implementation depending on the distance between collocation and observation point. The scattering of elastic waves by a cavity located in both quasi-isotropic and transversely isotropic solids is studied.

📜 SIMILAR VOLUMES

Three-dimensional dynamic Green’s functi
Three-dimensional dynamic Green’s functions for a multilayered transversely isotropic half-space
✍ A. Khojasteh; M. Rahimian; M. Eskandari; R.Y.S. Pak 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 987 KB

## a b s t r a c t With the aid of a method of displacement potentials, an efficient and accurate analytical derivation of the three-dimensional dynamic Green's functions for a transversely isotropic multilayered half-space is presented. Constituted by proper algebraic factorizations, a set of gen