Dispersion of elastic waves in random particulate composites

Journal of the Acoustical Society of America

Volumn 97, Issue 3, 1995, Pages 1380-1388

  Kim, Jin Yeon ^a   Ih, Jeong Guon ^a   Lee, Byung Ho ^a  

^a Korea Advanced Institute of Science and Technology (KAIST)   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; ELASTICITY; MATHEMATICAL ANALYSIS; PRIORITY JOURNAL; SOUND TRANSMISSION; WAVEFORM;

EID: 0028957161     PISSN: 00014966     EISSN: NA     Source Type: Journal    
DOI: 10.1121/1.412080     Document Type: Article

References (33)

1. L.L. Foldy, “The multiple scattering of waves,” Phys. Rev. 67, 107–119 (1945).
2. M. Lax, “The effective field in dense systems,” Phys. Rev. 88, 621–629 (1952).
3. P. Soven, “Coherent-potential model of substitutional disordered alloys,” Phys. Rev. 156, 809–813 (1967).
4. B. Velicky, S. Kirkpatrick, and H. Ehrenreich, “Single-site approximations in the electronic theory of simple binary alloys,” Phys. Rev. 175, 747–766 (1968).
5. P.C. Waterman and R. Truell, “Multiple scattering of waves,” J. Math. Phys. 2, 512–537 (1961).
6. V.K. Varadan, Y. Ma, and V.V. Varadan, “A multiple scattering theory for elastic wave propagation in discrete random media,” J. Acoust. Soc. Am. 77, 375–385 (1985).
7. J.E. Gubernatis and J.A. Krumhansl, “Macroscopic engineering properties of polycrystalline materials: elastic properties,” J. Appl. Phys. 46, 1875–1883 (1975).
8. J.G. Berryman, “Theory of elastic properties of composite materials,” Appl. Phys. Lett. 35, 856–858 (1979).
9. A.J. Devaney, “Multiple scattering theory for discrete, elastic, random media,” J. Math. Phys. 21, 2603–2611 (1980).
10. R. Hill, “A self-consistent mechanics of composite materials,” J. Mech. Phys. Solids 13, 213–222 (1965).
11. B. Budiansky, “On the elastic moduli of some heterogeneous materials,” J. Mech. Phys. Solids 13, 223–227 (1965).
12. D.R.S. Talbot and J.R. Willis, “Variational estimates for dispersion and attenuation of waves in random composites-I. General theory, and II. Isotropic composites,” Int. J. Solids Struct. 18, 673–698 (1982).
13. A.I. Beltzer, C.W. Bert, and A.G. Striz, “On wave propagation in random particulate composites,” Int. J. Solids Struct. 19, 785–791 (1983).
14. G.C. Gaunarud and H. Uberall, “Resonance effects and the ultrasonic effective properties of particulate composites,” J. Acoust. Soc. Am. 74, 305–313 (1983).
15. V.K. Kinra, M.S. Petraitis, and S.K. Datta, “Ultrasonic wave propagation in a random particulate composite,” Int. J. Solids Struct. 16, 301–312 (1980).
16. V.K. Kinra and A. Anand, “Wave propagation in a random particulate composite at long and short wavelengths,” Int. J. Solids Struct. 18, 367-380 (1982).
17. V.K. Kinra, “Dispersive wave propagation in random particulate composite,” Recent Advances in Composites in the U.S. and Japan (ASTM STP 864, 309–325, 1985).
18. V.K. Kinra, E. Ker, and S.K. Datta, “Influence of particle resonances on wave propagation in a random particulate composite,” Mech. Res. Commun. 9, 109–114 (1982).
19. V.K. Kinra and P. Li, “Resonant scattering of elastic waves by a random distribution of inclusions,” Int. J. Solids Struct. 22, 1–11 (1986).
20. V.K. Kinra and C. Rousseau, “Acoustical and optical branches of wave propagation,” J. Wave Mater. Interaction 2, 141–152 (1987).
21. J.E. Gubernatis, E. Domany, and J.A. Krumhansl, “Formal aspects of the theory of the scattering of ultrasound by flaws in elastic materials,” J. Appl. Phys. 48, 2804–2811 (1977).
22. C.F. Ying and R. Truell, “Scattering of a plane longitudinal wave by a spherical obstacle in an isotropically elastic solid,” J. Appl. Phys. 27, 1086–1097 (1956).
23. C.M. Sayers and R.L. Smith, “Ultrasonic velocity and attenuation in an epoxy matrix containing lead inclusions,” J. Phys. D: Appl. Phys. 16, 1189–1194 (1983).
24. J.Y. Kim, J.G. Ih, and B.H. Lee, “Dispersive wave propagation in the viscoelastic matrix reinforced by elastic fibers,” J. Acoust. Soc. Am. 95, 1213–1222 (1994).
25. F.C. Moon and C.C. Mow, “Wave propagation in a composite material containing dispersed rigid spherical inclusions,” Rand Corp. Report, RM-6139-PR, Santa Monica, CA (1970).
26. C.C. Mow, “Transient response of a rigid spherical inclusion in an elastic medium,” J. Appl. Mech. 32, 637–642 (1965).
27. L. Flax and H. Uberall, “Resonant scattering of elastic waves from spherical solid inclusions,” J. Acoust. Soc. Am. 67, 1432–1442 (1980).
28. L. Flax, G. Gaunaurd, and H. Uberall, “The theory of resonant scattering,” in Physical Acoustics, edited by W.P. Mason and R.N. Thurston (Academic, New York, 1981), Vol. XV, Chap. 3, pp. 191–294.
29. D. Brill and G. Gaunaurd, “Resonance theory of elastic waves ultrasoni-cally scattered from an elastic sphere,” J. Acoust. Soc. Am. 81, 1–21 (1987).
30. G. Gaunaurd, E. Tanglis, H. Uberall, and D. Brill, “Interior and exterior resonances in acoustic scattering, I: Spherical targets,” Nuovo Cimento 76B, 153-175 (1983).
31. P.M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953), p. 1466.
32. J.D. Achenbach, Wave Propagation in Elastic Solids (North-Holland, New York, 1975).
33. G.N. Watson, A Treatise on the Theory ofBessel Functions (Cambridge, U.P., New York, 1966).