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TECHNICAL PAPERS

Scattering of a Rayleigh Wave by an Elastic Wedge Whose Angle is Greater Than 180 Degrees

[+] Author and Article Information
A. K. Gautesen

Department of Mathematics and Ames Laboratory, Iowa State University, 136 Wilhelm Hall, Ames, IA 50011

J. Appl. Mech 68(3), 476-479 (Nov 21, 2000) (4 pages) doi:10.1115/1.1365156 History: Received June 07, 2000; Revised November 21, 2000
Copyright © 2001 by ASME
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References

Knopoff, L., 1969, “Elastic Wave Propagation in a Wedge,” Wave Propagation in Solids, J. Miklowitz, ed., ASME, New York, pp. 3–42.
Mal,  A. K., and Knopoff,  L., 1966, “Transmission of Rayleigh Waves at a Corner,” Bull. Seismol. Soc. Am., 56, pp. 455–466.
Momoi,  H., 1980, “Scattering of Rayleigh Waves in an Elastic Quarter Space,” J. Phys. Earth, 28, pp. 385–413.
Gautesen,  A. K., 1985, “Scattering of a Rayleigh Wave by an Elastic Quarter Space,” ASME J. Appl. Mech., 107, pp. 664–668.
Gautesen,  A. K., 1987, “Scattering of a Rayleigh Wave by an Elastic Wedge,” Wave Motion, 9, pp. 51–59.
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.
Budaev,  B. V., and Bogy,  D. B., 1995, “Rayleigh Wave Scattering by a Wedge,” Wave Motion, 22, pp. 239–257.
Budaev,  B. V., and Bogy,  D. B., 1996, “Rayleigh Wave Scattering by a Wedge: II,” Wave Motion, 24, pp. 307–314.
Budaev, B. V., and Bogy, D. B., 2001, “Scattering of Rayleigh and Stoneley Waves by Two Adhering Elastic Wedges,” Wave Motion, in press.
Gautesen,  A. K., 1979, “On Matched Asymptotic Expansions for Two-Dimensional Elastodynamic Diffraction by Cracks,” Wave Motion, 1, pp. 17–140.
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.
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.

Figures

Grahic Jump Location
Incident, transmitted, and reflected surface waves
Grahic Jump Location
Branch cut and location of Rayleigh poles of ūj(ξ)
Grahic Jump Location
Amplitude of the reflection and transmission coefficients versus wedge angle (in degrees) for Poisson’s ratio=0.25. The exact values for a 360-deg wedge are indicated by an asterisk.
Grahic Jump Location
Phase (in degrees) of the reflection and transmission coefficients versus wedge angle (in degrees) for Poisson’s ratio=0.25. The exact values for a 360-deg wedge are indicated by an asterisk.

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