Abstract
On the basis of the earlier developed method for determining the echo-signal amplitude from a flat-bottom-hole flaw via the use of the Kirchhoff approximation for constructing DGS diagrams, signals are calculated at an arbitrary arrangement of identical normal circular transducers on the tested surface parallel to the surface of the hole. Expressions for the pressure of a reflected longitudinal wave on the receiving transducer are obtained in a scalar approximation and in a general case. Examples of numerical estimates of the echo-signal amplitudes are presented.
Similar content being viewed by others
References
Ermolov, I.N., Teoriya i praktika ul’trazvukovogo kontrolya (Theory and Practice of Ultrasonic Testing), Moscow: Mashinostroenie, 1981.
Ermolov, I.N., Vopilkin, A.Kh., and Badalyan, V.G., Raschety v ul’trazvukovoi defektoskopii (kratkii spravochnik) (Calculations in Ultrasonic Flaw Detection), Moscow: NPTs NK “EKhO+”, 2000.
Ermolov, I.N. and Lange, Yu.V., Nerazrushayushchii kontrol’ (Nondestructive Testing), Vol. 3: Ul’trazvukovoi kontrol’. Spravochnik (Ultrasonic Testing. A Handbook), Moscow: Mashinostroenie, 2004.
Ermolov, I.N., Kontrol’ ul’trazvukom (kratkii spravochnik) (Testing by Ultrasound (Brief Handbook)), Moscow: NPO TsNIITMASh, 1992.
Danilov, V.N. and Ermolov, I.N., Calculations of DGS Diagrams, Defektoskopiya, 2000, no. 7, pp. 35–43 [Russ. J. Nondestr. Test. (Engl. Transl.), no. 7, p. 491].
Danilov, V.N. and Ermolov, I.N., Calculations of DGS Diagrams Based on Peaks of Reflected Acoustic Signals, Defektoskopiya, 2000, no. 12, pp. 35–42 [Russ. J. Nondestr. Test. (Engl. Transl.), no. 12, p. 889].
Yamshchikov, V.S., Danilov, V.N., and Shkuratnik, V.L., Features of Excitation and Reception of Elastic Waves in a Solid Layer by a Piston-Type Transducer, Defektoskopiya, 1983, no. 3, pp. 16–23.
Ivanov, E.A., Difraktsiya elektromagnitnykh voln na dvukh telakh (Diffraction of Electromagnetic Waves at Two Bodies), Minsk: Nauka, 1968.
Brekhovskikh, L.M., Volny v sloistykh sredakh (Waves in Layered Media), Moscow: Nauka, 1973.
Heigher Transcendental Functions (Bateman Manuscript Project), Beitmen, G. and Erdelyi, A., Eds., New York: McGraw-Hill, 1953, Vol. 2. Translated under the title Vysshie transtsendentnye funktsii, Moscow: Nauka, 1974, Vol. 2.
Kruglov, B.A., On Angular Characteristics of Scattering of Plane Monochromatic Longitudinal and Transverse SV-and SH-Waves by an Acoustically Soft Disk in a Solid, Vopr. Materialoved., 2001, no. 4, pp. 66–77.
Danilov, V.N., Estimating the Parameters of Signals Observed during Ultrasonic Testing of a Cylindrical Article with a Normal Probe on the End Surface, Defektoskopiya, 2005, no. 2, pp. 55–71 [Russ. J. Nondestr. Test. (Engl. Transl.), no. 2, p. 102].
Scalia, A. and Sumbatyan, M.A., On Efficient Quantitative Analysis in Real-Time Ultrasonic Detection of Cracks, Ultrasonics, 1999, vol. 37, pp. 239–245.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.N. Danilov, 2007, published in Defektoskopiya, 2007, Vol. 43, No. 11, pp. 23–33.
Rights and permissions
About this article
Cite this article
Danilov, V.N. Calculation of echo signals from a flat-bottom hole for normal probes. Russ J Nondestruct Test 43, 724–732 (2007). https://doi.org/10.1134/S1061830907110034
Received:
Issue Date:
DOI: https://doi.org/10.1134/S1061830907110034