Scattering of a Rayleigh wave by a surface-breaking crack with faces in partial contact

Wave Motion

Volumn 33, Issue 3, 2001, Pages 259-270

  Pecorari, C ^a  

^a JOINT RESEARCH CENTRE   (Italy)

Author keywords

Crack opening displacement; Quasi static approximation; Rayleigh wave; Surface breaking crack

Indexed keywords

QUASI-STATIC APPROXIMATION; RAYLEIGH WAVES; SURFACE-BREAKING CRACKS;

APPROXIMATION THEORY; CHARGE COUPLED DEVICES; CRACK PROPAGATION; INTEGRAL EQUATIONS; INTERFACES (MATERIALS); ULTRASONIC SCATTERING;

ULTRASONIC WAVES;

EID: 0034830408     PISSN: 01652125     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-2125(00)00070-6     Document Type: Article

References (28)

1. Kendall K., Tabor D. An ultrasonic study of the area of contact between stationary and sliding surfaces. Proc. R. Soc. London, Ser. A. 323:1971;321-340.
2. A.B. Wooldridge, The effect of sound compressive stress on the ultrasonic response of steel-steel interfaces and of fatigue cracks, CEGB Report NW-SSD-RR-42-79, Berkeley Nuclear Laboratories, 1979.
3. N.F. Haines, The theory of sound transmission and reflection at contacting surfaces, CEGB Report RD-B-N4744, Berkeley Nuclear Laboratories, 1980.
4. Rose J.H. Reflection coefficients for defective diffusion bonds. Rev. Prog. QNDE. 9:1990;1317-1322.
5. Margetan F.J., Thompson R.B., Rose J.H., Gray T.A. The interaction of ultrasound with imperfect interfaces: experimental studies of model structures. J. Non-Destruct. Eval. 11:1992;109-126.
6. P.B. Nagy, Ultrasonic classification of imperfect interfaces, J. Non-Destruct. Eval. 11 (1992) 127-140, and references therein.
7. Drinkwater B., Dwyer-Joyce R., Cawley P. A study of the transmission of ultrasound across solid-rubber interfaces. J. Acoust. Soc. Am. 101:1997;970-981.
8. Lavrentyev A.I., Baltazar A., Rokhlin S.I. Ultrasonic spectroscopy of two imperfect interfaces using longitudinal and shear wave. Rev. Prog. QNDE. 17:1998;1379-1386.
9. Lavrentyev A.I., Rokhlin S.I. Ultrasonic spectroscopy of imperfect interfaces between a layer and two solids. J. Acoust. Soc. Am. 103:1998;657-664.
10. Baik J.M., Thompson R.B. Ultrasonic scattering from imperfect interfaces: a quasi-static model. J. Non-Destruct. Eval. 4:1984;177.
11. Rokhlin S.I., Wang Y.J. Analysis of boundary conditions for elastic wave interaction with an interface between two solids. J. Acoust. Soc. Am. 89:1991;503-515.
12. Achenbach J.D., Norris A.N. Loss of specular reflection due to nonlinear crack-face interaction. J. Non-Destruct. Eval. 3:1982;229-239.
13. Boström A., Wickham G. On the boundary conditions for ultrasonic transmission by partially closed cracks. J. Non-Destruct. Eval. 10:1991;139.
14. A. Boström, Scattering by a penny-shaped crack with spring boundary conditions, in: Ultrasonic Characterization and Mechanics of Interfaces, AMD, Vol. 177, ASME (Mech. Engineers), New York, 1993, pp. 191-197.
15. Auld B.A. General electromechanical reciprocity relations applied to the calculation of elastic wave scattering coefficients. Wave Motion. 1:1979;3-10.
16. Hirose S. 2-D scattering by a crack with contact-boundary conditions. Wave Motion. 19:1994;37.
17. O. Buck, D.K. Rehbein, R.B. Thompson, Crack tip shielding by asperity contact as determined by acoustic measurements, Eng. Fracture Mech. 28 (1987) 413-424, and references therein.
18. Achenbach J.D., Keer L.M., Mendelsohn D.A. Elastodynamic analysis of an edge crack. J. Appl. Mech. 47:1980;551.
19. Mendelsohn D.A., Achenbach J.D., Keer L.M. Scattering of elastic waves by a surface-breaking crack. Wave Motion. 2:1980;277.
20. F. Ergodan, G.D. Gupta, T.S. Cook, in: G.C. Sih (Ed.), Methods of Analysis and Solutions to Crack Problems, Noordhoof, Leiden, 1972 (Chapter 3).
21. Kino G.S. The application of reciprocity theory to scattering of acoustic waves by flaws. J. Appl. Phys. 49:1978;3190-3199.
22. Yoshioka N., Scholz C.H. Elastic properties of contacting surfaces under normal and shear loads. 1. Theory. J. Geophys. Res. 94:1989;17681-17690.
23. Brown S.R., Scholz C.H. Closure of random elastic surfaces in contact. J. Geophys. Res. 90:1985;5531-5545.
24. G.N. Boitnott, R.L. Biegel, C.H. Scholz, et al., Micromechanics of rock friction. 2. Quantitative modeling of initial friction with contact theory, J. Geophys. Res. 97 (1992) 8965-8978.
25. K.L. Johnson, Contact Mechanics, Cambridge University Press, New York, 1973.
26. Mindlin R.D. Elastic spheres in contact under varying oblique forces. J. Appl. Mech. 20:1953;327-344.
27. Li Z.L., Achenbach J.D. Reflection and transmission of Rayleigh surface waves by material interphase. J. Appl. Mech. 58:1991;688-694.
28. Vu B., Kinra V.K. Diffraction of Rayleigh waves in a half-space. I. Normal edge crack. J. Acoust. Soc. Am. 77:1985;1425-1430.