On Green's functions for elastic waves in anisotropic media

A. Tverdokhlebov, Joseph Lawrence Rose

Research output: Contribution to journalArticle

28 Citations (Scopus)

Abstract

The Green's function, as a temporal Fourier transform of the point-source solution of the wave equation in an infinite medium, is obtained for the homogeneous, transversely isotropic solids, such as fiber composites or directionally solidificated steels of the columnar-grained polycrystalline structure. The surface integrals, representing the exact point-source solutions for the quasilongitudinal, quasitransverse, and purely transverse horizontally polarized shear waves, are approximated in terms of elementary functions, given that the elastic parameters characterizing the deviation of the solid from the isotropic medium are relatively small (weak anisotropy approximation). A brief discussion of the main features of the solution and a comparison to well-known eikonal (ray) approximations are presented.PACS numbers: 43.35.Cg, 43.35.Zc, 62.30. + d.

Original languageEnglish (US)
Pages (from-to)118-121
Number of pages4
JournalJournal of the Acoustical Society of America
Volume83
Issue number1
DOIs
StatePublished - Jan 1 1988

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anisotropic media
elastic waves
Green's functions
point sources
SH waves
isotropic media
fiber composites
approximation
wave equations
rays
steels
deviation
anisotropy
Approximation
Waves
Equations
Transverse
Fiber
Steel
Deviation

All Science Journal Classification (ASJC) codes

  • Arts and Humanities (miscellaneous)
  • Acoustics and Ultrasonics

Cite this

Tverdokhlebov, A. ; Rose, Joseph Lawrence. / On Green's functions for elastic waves in anisotropic media. In: Journal of the Acoustical Society of America. 1988 ; Vol. 83, No. 1. pp. 118-121.
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On Green's functions for elastic waves in anisotropic media. / Tverdokhlebov, A.; Rose, Joseph Lawrence.

In: Journal of the Acoustical Society of America, Vol. 83, No. 1, 01.01.1988, p. 118-121.

Research output: Contribution to journalArticle

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