×
Mei, Chiang C.

Grazing incidence of short elastic waves on a slender cavity. (English) Zbl 0458.73015

Wave Motion 1, 113-122 (1979).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0458.73015

MSC:

74J20 Wave scattering in solid mechanics
74J10 Bulk waves in solid mechanics
74R05 Brittle damage
76R99 Diffusion and convection

Keywords:

high-frequency P waves; slender cavity of finite length; SV waves; two slanted strips on sides of cavity; boundary layers along edges of strips; mode conversion; parabolic approximation; transverse diffusion
Cite Review PDF
Full Text: DOI

References:

[1] Fock, V. A., Electromagnetic Diffraction and Propagation Problems (1960), McMillan: McMillan N.Y
[2] Malyazhinets, G. D., Development in our concepts of diffraction phenomena, Soviet Physics Uspekhi, 69, 2, 549-751 (1959)
[3] popov, A. V., Numerical solution of the wedge diffraction problem by the transverse diffusion method, Sov. Phy. Acoust., 15, 2, 226-233 (1969)
[4] Popov, A. V., Transverse diffusion method in the problem of sound diffraction by a strip, Sov. Phys. Acoust., 19, 4, 375-378 (1974)
[5] Polyanski, E. A., Relationship between the solutions of the Helmholtz and Schroedinger equations, Sov. Phy. Acoust., 20, 90 (1974)
[6] McDaniel, S. T., Parabolic approximations for underwater sound propagation, J. Acoust. Soc. Am., 58, 1178-1185 (1975) · Zbl 0318.76057
[7] Corones, J., Bremmer series that correct parabolic approximations, J. Math. Anal. and Appl., 56, 361-372 (1975) · Zbl 0313.35020
[8] Fitzgerald, R. M., Helmholtz equation as an initial value problem with application to acoustic propagation, J. Acoust. Soc. Am., 57, 839-842 (1975) · Zbl 0319.76056
[9] Palmer, D. R., Eikonal approximation and the parabolic equation, J. Acoust. Soc. Am., 343-364 (1976) · Zbl 0347.76052
[10] McCoy, J. J., A parabolic theory of stress wave propagation through inhomogeneous linearly elastic solids, J. Appl. Mech., 44, 462-468 (1977) · Zbl 0497.73032
[11] Kriegsmann, G. A.; Larsen, E. W., On the parabolic approximation to the reduced wave equation, SIAM J. Appl. Math., 34, 200-204 (1978) · Zbl 0392.35017
[12] Tuck, E. O., Some theoretical results on diffraction of short waves by thin obstacles, J. Acoust. Soc. Am., 37, 1177 (1964), [Abstract only.]
[13] Faltinsen, O. M., Wave forces on a restrained ship in head-sea waves, (Cooper, R. D., Proc. Ninth Symp. on Naval Hydrod. (1972)), 1763-1843
[14] Graff, K. F., Wave motion in elastic solids (1975), Ohio State Univ. Press · Zbl 0314.73022
[15] Goodier, J. N.; Bishop, R. E.D., On critical reflections of elastic waves at free surfaces, J. Appl. Mech, 23, 124-126 (1952) · Zbl 0046.18002
[16] Abramowitz, M.; Stegun, I. A., (Handbook of Mathematical Functions (1965), Dover Publs)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.