Abstract
Recent results on reflection, transmission and scattering of obliquely incident Rayleigh surface waves by an infinitely long surface-breaking crack are reviewed. Sets of crack-opening displacements for infinitely long cracks with various depths are used to construct approximate crack-opening fields for the scattering of a Rayleigh wave by a surface-breaking crack of large length-to-depth ratio. The scattered surface-wave fields for the finite-length crack are subsequently obtained by the use of a representation integral over an appropriate Green’s function and the approximate crack-opening displacements. Polar diagrams are presented for the amplitude of the scattered surface-wave field.
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References
J.D. Achenbach and R.J. Brind, “Scattering of Surface Waves by a Sub-Surface Crack”, J. of Sound and Vibration, 76, p. 43, 1981.
R.J. Brind and J.D. Achenbach, “Scattering of Longitudinal and Transverse Waves by a Sub-Surface Crack”, J. of Sound and Vibration, 78, p. 555, 1981.
D.A. Mendelsohn, J.D. Achenbach and L.M. Keer, “Scattering of Elastic Waves by a Surface-Breaking Crack”, WAVE MOTION, 2, p. 277, 1980.
J.D. Achenbach, W. Lin and L.M. Keer, “Surface Waves due to Scattering by a Near-Surface Parallel Crack”, IEEE Trans. Sonics and Ultrasonics (in press).
G.S. Kino, “The Application of Reciprocity Theory to Scattering of Acoustic Waves by Flaws”, J. Appl. Phys., 49, p. 3190, 1978.
J.J. Tien, B.T. Khuri-Yakub, G.S. Kino, A.G. Evans and D. Marshall, “Long Wavelength Measurements of Surface Cracks in Silicon Nitride”, in Review of Progress in Quantitative Non-destructive Evaluation, Vol.1 (ed. D.O. Thompson and D.E. Chimenti), Plenum Press, New York and London, 1982.
B.R. Tittmann, O. Buck, L. Ahlberg, M. DeBilly, F. Cohen-Tenoudji, A. Jungman and G. Quentin, “Surface Wave Scattering from Elliptical Cracks for Failure Prediction”,J. Appl. Phys., 51, p. 142, 1980.
J.D. Achenbach, A.K. Gautesen and D.A. Mendelsohn, “Ray Analysis of Surface-Wave Interaction with an Edge Crack”, IEEE Trans. Sonics and Ultrasonics Su-27, p. 124, 1980.
A.K. Mai, “Diffraction of SH Waves by a Near-Surface Crack”, Review of Progress in Quantitative Nondestructive Evaluation, Vol. 1, (ed. by D.O. Thompson and D.E. Chimenti), Plenum Press, New York and London, p. 499, 1981.
S.K. Datta, “Diffraction of SH-Waves by an Edge Crack”, J. Appl. Mech., 46, p. 101, 1979.
Y.C. Angel and J.D. Achenbach, “Reflection and Transmission of Obliquely Incident Rayleigh Waves by a Surface-Breaking Crack”, submitted for publication.
Y.C. Angel and J.D. Achenbach, “Stress-intensity Factors for Three-D Dynamic Loading of a Cracked Half-Space”,J. of Elasticity, to appear.
F. Erdogan and G.D. Gupta, “On the Numerical Solution of Singular Integral Equations”, Quart. Appl. Maths., p. 525, 1972.
F. Erdogan, G.D. Gupta and T.S. Cook, “Numerical Solution of Singular Integral Equations”, in G.C. Sih, Ed., Methods of Analysis and Solutions to Crack Problems, Noordhoff, Groningen, 1972.
L.B. Freund, “The Oblique Reflection of a Rayleigh Wave from a Crack Tip”, Int. J. Solids Structures, Vol.7, p. 1199,1971.
J.G. Harris, J.D. Achenbach and A.N. Norris, “Rayleigh Waves Excited by the Discontinuous Advance of a Rupture Front”,J. Geophysical Research, 88, B3, p. 2233, 1983.
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© 1984 Plenum Press, New York
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Angel, Y.C., Achenbach, J.D., Norris, A.N. (1984). Scattering Of Obliquely Incident Rayleigh Waves by a Surface-Breaking Crack. In: Thompson, D.O., Chimenti, D.E. (eds) Review of Progress in Quantitative Nondestructive Evaluation. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-1194-2_16
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DOI: https://doi.org/10.1007/978-1-4684-1194-2_16
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