Modal impedances for a spherical source in a fluid-filled spherical cavity embedded within a fluid-infiltrated elastic porous medium

International Journal of Solids and Structures

Volumn 35, Issue 1-2, 1998, Pages 129-148

  Hasheminejad, Seyed M ^a  

^a IRAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Iran)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC IMPEDANCE; ACOUSTIC WAVE TRANSMISSION; BOUNDARY CONDITIONS; ELASTICITY; INTERFACES (MATERIALS); MECHANICAL PERMEABILITY; POROSITY; SPHERES; STIFFNESS; VIBRATIONS (MECHANICAL);

BIOT THEORY; MODAL ACOUSTIC RADIATION IMPEDANCE;

STRUCTURAL ANALYSIS;

EID: 0031642064     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(97)00059-0     Document Type: Article

References (33)

1. Abramovitz, M. and Stegun, I. A. (1964) Handbook of Mathematical Functions. National Bureau of Standards, Washington, DC.
2. Achenbach, J. D. (1976) Wave Propagation in Elastic Solids. North-Holland, New York.
3. Allard, J. F. (1993) Propagation of Sound in Porous Media, Modelling Sound Absorbing Materials. Elsevier Applied Science, London.
4. Berryman, J. G. (1980) Confirmation of Biot's Theory. Applied Physics Letters 73, 382-384.
5. Berryman, J. G. (1982) Elastic waves in fluid-saturated porous media. In Macroscopic Properties of Disordered Media, Lecture Notes in Physics, 154, eds R. Burridge et al. Springer-Verlag, Berlin, pp. 39-49.
6. Berryman, J. G. (1985) Scattering by a spherical inhomogeneity in a fluid-saturated porous medium. Journal of Mathematical Physics 26, 1408-1419.
7. Biot, M. A. (1956a) Theory of propagation of elastic waves in a fluid-saturated porous solid, I: Low-frequency range. Journal of the Acoustical Society of America 28, 168-178.
8. Biot, M. A. (1956b) Theory of propagation of elastic waves in a fluid-saturated porous solid, I: Low-frequency range. Journal of the Acoustical Society of America 28, 179-191.
9. Biot, M. A. (1962) Mechanics of deformation and acoustic propagation in porous media. Journal of Applied Physics 23, 1482-1498.
10. Bourbie, T., Coussy, O. and Zinszner, B. E. (1987) Acoustics of Porous Media. Gulf Publishing, Houston.
11. Cremer, L. W. (1990) Structure-Borne Sound, 2nd edn. Springer-Verlag, Berlin.
12. Deresiewicz, H. and Rice, J. F. (1962) The effect of boundaries on wave propagation in a liquid-filled porous solid, III: Reflection of plane waves at a free boundary. Bulletin of the Seismological Society of America 52, 595-625.
13. Deresiewicz, H. and Skalak, R. (1963) On uniqueness in dynamic poroelasticity. Bulletin of the Seismological Society of America 53, 783-788.
14. Gassmann, F. (1951) Uber die elastizitat poroser medien. Veteljahrsschrift d Naturforsch. Gesell. Zurich 96, 1-23.
15. Geers, T. L. and Hasheminejad, S. M. (1991) Linear vibration analysis of an ultrasonic cleaning problem. Journal of Acoustical Society of America 90, 3238-3247.
16. Geertsma, J. and Smit, D. C. (1961) Some aspects of elastic wave propagation in fluid-saturated porous solids. Geophysics 26, 169-181.
17. Hasheminejad, M. and Geers, T. L. (1992) The accuracy of doubly asymptotic approximations for an acoustic half-space. Journal of Vibration Acoustics 114, 555-563.
18. Hasheminejad, M. and Geers, T. L. (1993) Modal impedances for two spheres in a thermoviscous fluid. Journal of the Acoustical Society of America 94, 2205-2214.
19. Johnson, D. L. (1986) Recent developments in the acoustic properties of porous media. In Frontiers in Physical Acoustics, Soc. Italiana di Fisica, Bologna, Italy, pp. 255-290.
20. Johnson, D. L., Koplik, J. and Dashen, R. (1987) Theory of dynamic permeability and tortuosity in fluid-saturated porous media. Journal of Fluid Mechanics 76, 379-402.
21. Johnson, D. L., Hemmick, D. L. and Kojima, H. (1994a) Probing porous media with first and second sound, I. Dynamic permeability. Journal of Applied Physics 76, 104-114.
22. Johnson, D. L., Plona, T. J. and Kojima, H. (1994b) Probing porous media with first and second sound, II. Acoustic properties of water-saturated porous media. Journal of Applied Physics 76, 115-125.
23. Junger, M. C. and Feit, D. (1972) Sound, Structures, and Their Interaction. MIT Press, Cambridge.
24. Kargl, S. G. and Lim, R. (1993) A transition-matrix formulation of scattering in homogeneous, saturated, porous media. Journal of the Acoustical Society of America 94, 1527-1550.
25. Mei, C. C. and Si, B. I. (1984) Scattering of simple harmonic waves by a circular cavity in a fluid-infiltrated poroelastic medium. Wave Motion 6, 265-278.
26. Pao, Y. H. and Mow, C. C. (1973) Diffraction of Elastic Wave and Dynamic Stress Concentrations, Crane, Russak, New York.
27. Plona, T. J. (1980) Observation of the second compressional wave in a porous medium at ultrasonic frequencies. Applied Physics Letters 36, 259-261.
28. Poterasu, V. F. (1993) Coupled vibrations of a cavity filled with a pulsating fluid in elastic infinite media by the boundary element method. Computer Methods in Applied Mechanics and Engineering 106, 285-296.
29. Rasolofosaon, P. N. J. (1991) Plane acoustic waves in linear viscoelastic porous media - Energy, particle displacement and physical interpretation. Journal of the Acoustical Society of America 89, 1532-1550.
30. v(z) of real order and complex argument, to selected accuracy. Computer Physics Communications 47, 245-257.
31. White, J. E. (1983) Underground Sound: Application of Seismic Waves. Elsevier, Amsterdam.
32. Winkler, K. W., Liu, H. L. and Johnson, D. L. (1989) Permeability and borehole stonely waves: comparison between experiment and theory. Geophysics 54, 66-75.
33. Zimmerman, C. (1993) Scattering of plane compressional waves by a spherical inclusion in a poroelastic medium. Journal of the Acoustical Society of America 94, 527-536.