Scattering of a longitudinal wave by a circular crack in a fluid-saturated porous medium

International Journal of Solids and Structures

Volumn 44, Issue 22-23, 2007, Pages 7389-7398

  Galvin, R J ^a,b   Gurevich, B ^a,b  

^a CURTIN UNIVERSITY   (Australia)

^b CSIRO   (Australia)

Author keywords

Biot theory; Fractured medium; Poroelasticity; Slow wave

Indexed keywords

CRACKS; ELASTICITY; INTEGRAL EQUATIONS; PHYSICAL PROPERTIES; POROUS MATERIALS; WAVELENGTH;

BIOT'S EQUATIONS; CIRCULAR CRACK; FRACTURED MEDIUM; HANKEL TRANSFORM; INHOMOGENEITIES; LONGITUDINAL WAVE;

ELECTROMAGNETIC WAVE SCATTERING;

EID: 34548818387     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2007.04.011     Document Type: Article

References (14)

1. Biot M.A., and Willis D.G. The elastic co-efficients of the theory of consolidation. J. App. Mech. 24 (1957) 594-601
2. Biot M.A. Theory of propagation of elastic waves in a fluid-saturated porous solid. I. Low-frequency range. J. Acoust. Soc. Am. 28 (1956) 168-178
3. Biot M.A. Mechanics of deformation and acoustic propagation in porous media. J. Appl. Phys. 33 (1962) 1482-1498
4. Deresiewicz H., and Skalak R. On uniqueness in dynamic poroelasticity. Bull. Seismol. Soc. Am. 53 (1963) 783-788
5. Foldy L.L. The multiple scattering of waves. Phys. Rev. 67 (1945) 107-119
6. Garbin H.D., and Knopoff L. The compressional modulus of a material permeated by a random distribution of circular cracks. Quart. App. Math. 30 (1973) 453-464
7. Gassmann, F., 1951. Über die elastizität poröser medien. Viertel. Naturforsch. Ges. Zürich 96, 1-23.
8. Hudson J.A. Wave speeds and attenuation of elastic waves in material containing cracks. Geophys. J. Roy. Astr. Soc. 64 (1981) 133-150
9. Jin B., and Zhong Z. Dynamic stress intensity factor (mode I) of a penny-shaped crack in an infinite poroelastic solid. Int. J. Eng. Sci. 40 (2002) 637-646
10. Noble B. The solution of Bessel function dual integral equations by a multiplying-factor method. Proc. Camb. Phil. Soc. 59 (1963) 351-362
11. Piau M. Attenuation of a plane compressional wave by a random distribution of thin circular cracks. Int. J. Eng. Sci. 17 (1979) 151-167
12. Robertson I.A. Diffraction of a plane longitudinal wave by a penny-shaped crack. Proc. Camb. Phil. Soc. 63 (1967) 229-238
13. Sherief H.H., and El-Maghraby N.M. An internal penny-shaped crack in an infinite thermoelastic solid. J. Therm. Stresses 26 (2003) 333-352
14. Waterman P.C., and Truell R. Multiple scattering of waves. J. Math. Phys. 2 (1961) 512-537