The steady-state problem of scattering of an incident Rayleigh wave by an elastic wedge whose angle is greater than 180 degrees is considered. The problem is reduced to the numerical solution of a pair of Fredholm integral equations of the second kind whose kernels consist of elementary functions. Numerical results are given for the amplitude and phase of the Rayleigh waves transmitted and reflected by the corner.
Issue Section:
Technical Papers
1.
Knopoff, L., 1969, “Elastic Wave Propagation in a Wedge,” Wave Propagation in Solids, J. Miklowitz, ed., ASME, New York, pp. 3–42.
2.
Mal
, A. K.
, and Knopoff
, L.
, 1966
, “Transmission of Rayleigh Waves at a Corner
,” Bull. Seismol. Soc. Am.
, 56
, pp. 455
–466
.3.
Momoi
, H.
, 1980
, “Scattering of Rayleigh Waves in an Elastic Quarter Space
,” J. Phys. Earth
, 28
, pp. 385
–413
.4.
Gautesen
, A. K.
, 1985
, “Scattering of a Rayleigh Wave by an Elastic Quarter Space
,” ASME J. Appl. Mech.
, 107
, pp. 664
–668
.5.
Gautesen
, A. K.
, 1987
, “Scattering of a Rayleigh Wave by an Elastic Wedge
,” Wave Motion
, 9
, pp. 51
–59
.6.
Fujii
, K.
, 1994
, “Rayleigh-Wave Scattering at Various Wedge Corners: Investigation in the Wider Range of Wedge Angles
,” Bull. Seismol. Soc. Am.
, 84
, pp. 1916
–1924
.7.
Budaev
, B. V.
, and Bogy
, D. B.
, 1995
, “Rayleigh Wave Scattering by a Wedge
,” Wave Motion
, 22
, pp. 239
–257
.8.
Budaev
, B. V.
, and Bogy
, D. B.
, 1996
, “Rayleigh Wave Scattering by a Wedge: II
,” Wave Motion
, 24
, pp. 307
–314
.9.
Budaev, B. V., and Bogy, D. B., 2001, “Scattering of Rayleigh and Stoneley Waves by Two Adhering Elastic Wedges,” Wave Motion, in press.
10.
Gautesen
, A. K.
, 1979
, “On Matched Asymptotic Expansions for Two-Dimensional Elastodynamic Diffraction by Cracks
,” Wave Motion
, 1
, pp. 17
–140
.11.
Karp
, S. N.
, and Karal
, F. C.
, 1962
, “The Elastic-Field Behavior in the Neighborhood of a Crack of Arbitrary Angle
,” Commun. Pure Appl. Math.
, 15
, pp. 413
–421
.12.
Achenbach, J. D., Gautesen, A. K., and McMaken, H., 1982, Ray Methods for Waves in Elastic Solids with Application to Scattering by Cracks, Pitman, Boston.
Copyright © 2001
by ASME
You do not currently have access to this content.