Nonlinear sound scattering into higher or combination frequency harmonics on a crack-type dis continuity in a solid due to the intrinsic nonlinearity of the crack is considered. Characteristics of the nonlin early scattered sound are estimated, taking into account the micro-roughness of crack surfaces. Possibilities of the effect of usage for crack detection are discussed, comparison with conventional linear approaches is performed, and the main expected advantages of the nonlinear methods are pointed out.
Belyaeva, I. Yu., Zaitsev, V. Yu., and Ostrovsky, L.A., 1993, "Nonlinear acousto-elastic properties of grainy media ," Akusticheskii zhurnal39 (1), 25-32 (in Russian).
2.
Belyaeva, I. Yu., Zaitsev, V. Yu., and Timanin, E.M., 1994, "Experimental investigation of elastic nonlinear properties of grainy media with nonideal packing," Akusticheskii zhurnal40 (6), 893-899 (in Russian)..
Datta, S. K., ed., 1990, Elastic Waves and Ultrasonic Nondestructive Testing, North-Holland , Amsterdam.
5.
Ermolov, I.N., Alyoshin, N.P., and Potapov, A.I., 1991, Non-Destructive Testing: Acoustical Methods, Sukhorukov, V. V., ed., Vysshaya Shkola. , Moscow (in Russian).
6.
Goldshteyn, P.B. and Mosolov, A.B., 1991, "Cracks with fractal surface," Doklady Akad. Nauk SSSR319(4b), 840-844.
7.
Ichida N., Sato T., and Linzar M., 1983. "Imaging of the nonlinear ultrasonic parameter of a medium ," Ultrasonic Imaging N5, 295-299.
8.
Johnson, P.A., 1987, Contact Mechanics, Cambridge University Press, New York.
9.
Johnson, P.A., Rasolofosaon, P., and Zinzer, B., 1993, "Measurement of nonlinear elastic response in rock by the resonant bar method," in Proceedings of Advances in Nonlinear Acoustics, H. Hobak , ed., World Scientific, Singapore - New Jersey, 376-381.
10.
Landau, L.D. and Lifshits, E.M., 1986, Theory of Elasticity, Pergamon , London.
11.
Mandelbrot, B.B., 1983, The Fractal Geometry of Nature, Freeman , San Francisco.
12.
Nazarov, V.E., 1991 (a), "Nonlinear acoustics effects in the annealed copper ," Akusticheskii zhurnal37(1), 150-156 (in Russian).
13.
Nazarov, V., 1991 (b), "Sound damping by sound in metals," Acoustic Letters15(2), 22-25.
14.
Ostrovsky, L.A., 1991, "Wave processes in media with strong acoustic nonlinearity ," JASA90(6), 3332-3338.
15.
Rudenko, O.V., 1993, "Nonlinear methods in acoustical diagnostics," Defectoskopia8, 24-32 (in Russian).
16.
Rudenko, O.V. and Chin, An Vu, 1994, "Nonlinear acoustic properties of rough surfaces and possibilities of nonlinear acoustic diagnostics of the roughnesses statistical properties ," Akusticheskii zhurnal40(4), 668-672 (in Russian).
17.
Schkolnik, I., 1993, "Nondestructive testing of concreres: New aspects ," N10, 351-358.
18.
Sneddon, I., 1951, Fourier TransformsPergamon , New York-Toronto- London.
19.
Solodov, I. Yu and Chin, An Vu, 1993, "Clapping nonlinearity and chaos under oscillation of interface of solid samples," Akusticheskii zhurnal39(5), 904-910.
20.
Sutin, A. and Delclos, C., 1995, "Nonlinear acoustic method of crack detection in big carbon electrodes," in Proceedings of 2nd International conference "Acoustical and Vibratory Surveillance Methods and Diagnostic Techniques ," Paris, France, October 10-12.
21.
Zaitsev, V. Yu., 1995, "Numerical modeling of elastic nonlinear properties of grainy media with nonideal packing," Akusticheskii zhurnal41(2), 150-156 (in Russian).
22.
Zaitsev, V. Yu., Sutin, A.M., Belyaeva, I. Yu., and Nazarov, V.E., 1995, "Nonlinear interaction of acoustic waves due to cracks and its possible usage for cracks detection," Journal of Vibration and Control1, 335-344.
