Elastic wave propagation and scattering in solids with uniaxially aligned cracks

Journal of the Acoustical Society of America

Volumn 114, Issue 2, 2003, Pages 591-600

  Yang, Liyong ^a   Turner, Joseph A ^a  

^a UNIVERSITY OF NEBRASKA LINCOLN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC WAVE PROPAGATION; ACOUSTIC WAVE SCATTERING; ATTENUATION; MICROCRACKS;

ELASTIC WAVE PROPAGATION;

ELASTIC WAVES;

ACOUSTICS;

ACOUSTICS; ARTICLE; ELASTICITY; GEOMETRY; MATHEMATICAL ANALYSIS; MODEL; PRIORITY JOURNAL; SOLID; SOUND TRANSMISSION;

ELASTICITY; MODELS, THEORETICAL; ULTRASONICS;

EID: 0043071055     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.1592158     Document Type: Article

References (33)

1. A. K. Mal, "Interaction of elastic waves with a penny-shaped crack," Int. J. Eng. Sci. 8, 381-388 (1968).
2. A. K. Mal, "A note on the low frequency diffraction of elastic waves by a Griffith crack," Int. J. Eng. Sci. 10, 609-612 (1972).
3. M. Piau, "Attenuation of a plane compressional wave by a random distribution of thin circular cracks," Int. J. Eng. Sci. 17, 151-167 (1979).
4. A. Chatterjee, A. K. Mal, L. Knopoff, and J. Hudson, "Attenuation of elastic waves in a cracked, fluid-saturated solid," Math. Proc. Cambridge Philos. Soc. 88, 547-561 (1980).
5. J. A. Hudson, "Wave speeds and attenuation of elastic waves in material containing cracks," Geophys. J. R. Astron. Soc. 64, 133-150 (1981).
6. P. A. Martin, "Diffraction of elastic waves by a penny-shaped crack," Proc. R. Soc. London, Ser. A 378, 263-285 (1981).
7. S. Krenk and H. Schmidt, "Elastic wave scattering by a circular crack," Philos. Trans. R. Soc. London, Ser. A 308, 167-198 (1982).
8. P. A. Martin and G. R. Wickham, "Diffraction of elastic waves by a penny-shaped crack: Analytical and numerical results," Proc. R. Soc. London, Ser. A 390, 91-129 (1983).
9. C. Zhang and J. Achenhach, "Effective wave velocity and attenuation in a material with distributed penny-shaped cracks," Int. J. Solids Struct. 27, 751-767 (1991).
10. C. Zhang and D. Gross, "Wave attenuation and dispersion in randomly cracked solids-I. Slit cracks," Int. J. Eng. Sci. 31, 841-858 (1993).
11. C. Zhang and D. Gross, "Wave attenuation and dispersion in randomly cracked solids-II. Penny-shaped cracks," Int. J. Eng. Sci. 31, 859-872 (1993).
12. V. P. Smyshlyaev and J. R. Willis, "Linear and nonlinear scattering of elastic waves by microcracks," J. Mech. Phys. Solids 42, 585-610 (1994).
13. A. S. Eriksson, A. Bostrom, and S. K. Datta, "Ultrasonic wave propagation through a cracked solid," Wave Motion 22, 297-310 (1995).
14. L. Yang and J. A. Turner, "Scattering of elastic waves in damaged media," J. Acoust. Soc. Am. 113, 2992-3000 (2003).
15. S. Nemat-Nasser and M. Hori, Micromechanics: Overall Properties of Heterogeneous Materials (North-Holland, Amsterdam, 1993).
16. M. Kachanov, "Elastic solids with many cracks and related problems," Adv. Appl. Mech. 29, 259-445 (1993).
17. D. Krajcinovic, Damage Mechanics (North-Holland, Amsterdam, 1996).
18. F. E. Stanke and G. S. Kino, "A unified theory for elastic wave propagation in polycrystalline materials," J. Acoust. Soc. Am. 75, 665-681 (1984).
19. S. Ahmed and R. B. Thompson, "Propagation of elastic waves in equiaxed stainless-steel polycrystals with aligned [001] axes," J. Acoust. Soc. Am. 99, 2086-2096 (1996).
20. S. Hirsekorn, "The scattering of ultrasonic waves in polycrystalline materials with texture," J. Acoust. Soc. Am. 77, 832-843 (1985).
21. S. Hirsekorn, "Directional dependence of ultrasonic propagation in textured polycrystals," J. Acoust. Soc. Am. 79, 1269-1279 (1986).
22. J. A. Turner, "Elastic wave propagation and scattering in heterogeneous, anisotropic media: Textured polycrystalline materials," J. Acoust. Soc. Am. 106, 541-552 (1999).
23. U. Frisch, "Wave propagation in random media," in Probabilistic Methods in Applied Mathematics, edited by A. T. Barucha-Reid (Academic, New York, 1968), Vol. 1, pp. 75-198.
24. R. L. Weaver, "Diffusion of ultrasound in polycrystals," J. Mech. Phys. Solids 38, 55-86 (1990).
25. F. C. Karal and J. B. Keller, "Elastic, electromagnetic, and other waves in a random medium," J. Math. Phys. 5, 537-547 (1964).
26. I. Kunin, Elastic Media with Microstructure 11 (Springer-Verlag, Berlin, 1983).
27. J. Walsh, "The effect of cracks on compressibility of rocks," J. Geophys. Res. 70, 381-389 (1965).
28. B. Budiansky and R. J. O'Connell, "Elastic moduli of a cracked solid," Int. J. Solids Struct. 12, 81-97 (1976).
29. K. Z. Markov and J. R. Willis, "On the two-point correlation function for dispersions of nonoverlapping spheres," Math. Methods Appl. Sci. 8, 359-377 (1998).
30. J. A. Turner and R. L. Weaver, "Radiative transfer and multiple scattering of diffuse ultrasound in polycrystalline media," J. Acoust. Soc. Am. 96, 3675-3683 (1994).
31. J. A. Turner and R. L. Weaver, "Time dependence of multiply scattered diffuse ultrasound in polycrystalline media," J. Acoust. Soc. Am. 97, 2639-2644 (1995).
32. J. A. Turner and R. L. Weaver, "Ultrasonic radiative transfer theory: Effects of a fluid-solid interface," J. Acoust. Soc. Am. 98, 2801-2808 (1995).
33. F. E. Stanke, "Spatial autocorrelation functions for calculations of effective propagation constants in polycrystalline materials," J. Acoust. Soc. Am. 80, 1479-1485 (1986).