Abstract
A half-space, x3 ≤ 0, of a transversely isotropic solid whose axis of symmetry makes an angle α with the x3-axis, is subjected to a spatially uniform time-harmonic distribution of normal surface tractions over a circular area of the plane x3 = 0. The wave motion radiated into the half-space is investigated. Using an integral representation for the displacement components the problem is first reduced to a system of singular integral equations for the displacements on the surface x3 = 0. This system is solved by the boundary element method over a truncated area, where use is made of recently derived simplified forms of the Green's functions. The results show the skewing of the beam as the angle between the axis of symmetry of the transversely isotropic solid and the normal to the surface of the solid is increased.
Original language | English (US) |
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Pages (from-to) | 449-456 |
Number of pages | 8 |
Journal | Ultrasonics |
Volume | 33 |
Issue number | 6 |
DOIs | |
State | Published - Nov 1995 |
Funding
A FORTRAN programf or the numericalc alculationo f the Green’s functions,p rovided by Andres Saez-Perez and CanyunW ang,w asu seda s one part of the program that we developedf or solving the numericale xamples presentedin this paper.T his work wasc arriedo ut in the course of researchs ponsoredb y the Office of Naval Research.
Keywords
- Green's functions
- anisotropy
- beam skewing
- boundary element method
ASJC Scopus subject areas
- Acoustics and Ultrasonics