A canonical problem for fluid-solid interfacial wave coupling

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 452, Issue 1950, 1996, Pages 1695-1711

  Craster, R V ^a,b  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b UNIVERSITY OF NOTTINGHAM   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

COUPLING; TWO-PHASE FLOW(LIQUID/SOLID); WAVES;

EID: 0029805449     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.1996.0090     Document Type: Article

References (27)

1. Abrahams, I. D. 1981 Scattering of sound by a heavily loaded finite elastic plate. Proc. R. Soc. Land. A 378, 89-117.
2. Achenbach, J. D., Gautesen, A. K. & McMaken, H. 1982 Ray methods for waves in elastic solids. London: Pitman.
3. Atkinson, C. 1977 On quasi-static problems of cracks in a non-homogeneous elastic layer. Ada Mech. 26, 103-113.
4. Atkinson, C. & Craster, R. V. 1992 The application of invariant integrals in elastic diffusive solids. Phil. Trans. R. Soc. Land. A 339, 231-262.
5. Atkinson, C. & Craster, R. V. 1995 Invariant integrals, stress concentrations and energy release rates. In Fracture: a topical encyclopedia of current knowledge dedicated to Alan Arnold Griffith (ed. G. Cherepanov), pp. 496-517. New York: Krieger.
6. Bleistein, N. & Handelsman, R. A. 1986 Asymptotic expansions of integrals. New York: Dover.
7. Briggs, G. A. D. 1985 An introduction to scanning acoustic microscopy. Oxford University Press/Royal Microscopical Society.
8. Briggs, G. A. D. 1992 Acoustic microscopy (Monographs on the physics and chemistry of materials 47). Oxford University Press.
9. Craster, R. V £; Atkinson, C. 1994 Crack problems in a poroelastic material: an asymptotic approach. Phil. Trans. R. Soc. Lond. A 346, 387-428.
10. Cannell, P. A. 1975 Edge scattering of aerodynamic sound by a lightly loaded elastic half-plane. Proc. R. Soc. Lond. A 347, 213-238.
11. Crighton, D. G. 1979 The free and forced waves on a fluid-loaded elastic plate. J. Sound Vib. 63, 225-235.
12. Crighton, D. G. 1985 Acoustics of a stiff locally reacting structure. Proc. R. Soc. Lond. A 397, 99-120.
13. Crighton, D. G. 1989 The 1989 Rayleigh Medal Lecture: fluid loading - the interaction between sound and vibration. J. Sound Vib. 133, 1-27.
14. Crighton, D. G. & Innés, D. 1984 The modes, resonances and forced response of elastic structures under heavy loading. Phil. Trans. R. Soc. Lond. A 312, 295-341.
15. Eshelby, J. D. 1970 Energy relations and the energy-momentum tensor in continuum mechanics. In Inelastic behaviour of solids (éd. M. F. Kanninen et al), pp. 77-115. Ne%v York: McGrawHill.
16. Ewing, W. M., Jardetzky, W. S. & Press, F. 1957 Elastic waves in layered media. New York:
17. McGraw-Hill. Godin, O. A. 1984 On the high frequency theory of lateral waves. Wave Alotion, 6, 105-117.
18. Howe, M. S. 1988 The turbulent boundary layer rough wall pressure spectrum at acoustic and subconvective wavenumbers. Proc. R. Soc. Lond. A 415, 141-101.
19. Howe, M. S. 1990a Diffraction of sound by a scratch on an elastic solid. Eur. J. Appl. Math. 1, 353-369.
20. Howe, M. S. 1990& Scattering by a surface inhomogeneity on an elastic half space, with application to fluid structure interaction noise. Proc. R. Soc. Lond. A 429, 203-226.
21. Howe, M. S. 1991 On the image of a cylindrical inclusion in the scanning acoustic microscope. Proc. R. Soc. Lond. A 435, 393-403.
22. Noble, B. 1958 Methods based upon the Wiener-Hopf technique. London: Pergamon.
23. Nilsson, F. 1973 A path-independent integral for transient crack problems. Int. J. Solids Struct. 9, 1107-1115.
24. Schölte, J. G. 1947 The range of existence of Rayleigh and Stoneley waves. Mon. Not. R. Astr. Soc. Geophys. Suppl. 5, 120-126.
25. Tew, R. H. 1992a Diffraction of sound by a surface inhomogeneity at a fluid-solid interface. Eur. J. Appl. Math. 3, 115-145.
26. Tew, R. H. 19926 Non-specular reflection phenomena at a fluid-solid boundary. Proc. R. Soc. Lond. A 437, 433-449.
27. Wickham, G. R. 1980 Short-wave radiation from a rigid strip in smooth contact with a semiinfinite elastic solid. Q. Jl Alech. Appl. Math. 33, 409-433.