Abstract
Displacements of longitudinal and transverse waves driven by sources like point vertical and horizontal forces acting on the surface of elastic half-space are obtained in the form of Fourier–Bessel integral representations using the Smirnov–Sobolev method which makes it possible to transform two-dimensional solutions of wave equations into three-dimensional solutions. Asymptotic expressions of the displacements are obtained for the far zone. Results of numerical estimates are given.
Similar content being viewed by others
References
Samokrutov, A.A., Kozlov, V.N., Shevaldykin, V.G., and Meleshko, I.A., Ultrasonic Defectoscopy of Concrete by Means of Pulse-Echo Technique, In: 8th European Conference for Non-Destructive Testing, Barcelona, 17-21 June, 2002.
Glukhov, N.A., Point Ultrasonic Sources as a Tool of Testing Physico-Mechanical Properties of Materials, Defektoskopiya, 1992, no. 8, pp. 49–51.
Dzenis, V.V., Primenenie ul'trazvukovykh preobrazovatelei s tochechnym kontaktom dlya nerazrushayushchego kontrolya (Use of Ultrasonic Point Contact Transducers for Nondestructive Testing), Riga: Zinantne, 1987.
Poruchikov, V.B., Metody dinamicheskoi teorii uprugosti (Techniques of the Dynamic Elasticity Theory), Moscow: Nauka, 1986.
Lependin, L.F., Akustika (Acoustics), Moscow: Vysshaya Shkola, 1978.
Grinchenko, V.T. and Meleshko, V.V., Garmonicheskie kolebaniya i volny v uprugikh telakh (Harmonic Vibrations and Waves in Elastic Bodies), Kiev: Naukova Dumka, 1981.
Tikhonov, A.N. and Samarskii, A.A., Uravneniya matematicheskoi ziki (Equations of Mathematical Physics), Moscow: Nauka, 1972.
Danilov, V.N., Effect of the Static Pressure of a Normal Probe on the Radiation Field Direction, Defektoskopiya, 1986, no. 5, pp. 24–28.
Novatskii, V., Elasticity Theory. Translated into Russian under the title Teoriya uprugosti, Moscow: Mir, 1975.
Yamshchikov, V.S., Danilov, V.N., and Shkuratnik, V.L., Features of Driving and Reception of Elastic Waves in a Solid Layer by a Piston-Type Probe, Defektoskopiya, 1983, no. 3, pp. 16–23.
Kozlov, V.N., Shevaldykin, V.G., and Samokrutov, A.A., Ultrasonic Nondestructive Testing of Concrete by the Echo Method: State and Possibilities, V Mire Nerazrushayushchego Kontrolya, 2002, no. 2, pp. 6–10.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Danilov, V.N., Samokrutov, A.A. Simulation of Operation of Dry Point Contact Probes in the Emission Regime. Russian Journal of Nondestructive Testing 39, 577–588 (2004). https://doi.org/10.1023/B:RUNT.0000016383.37335.8c
Issue Date:
DOI: https://doi.org/10.1023/B:RUNT.0000016383.37335.8c