journal article·2026-02

Estimation of the Elasticity Coefficients of a Homogeneous Anisotropic Material Based on Echo Signals Measured by One or Two Ultrasonic Antenna Arrays

A. E. Bazulin, E. G. Bazulin, A. V. Butov, A. H. Vopilkin, S. A. Kokolev, S. V. Romashkin, D. S. Tikhonov

Publisher page

Abstract

Abstract High-strength pipes of class K60, which have anisotropic properties, are used for the construction of pipelines. When conducting ultrasonic inspection of welded joints using digital aperture focusing (DFA), it is usually assumed that sound propagates in a homogeneous isotropic medium. The DFA method can be modified to obtain images of reflectors in a homogeneous anisotropic medium, but for this one needs to know the type of symmetry and elasticity coefficients. Obtaining this information is an urgent problem. The article discusses two algorithms for estimating elasticity coefficients based on echo signals measured by one or two ultrasonic antenna arrays.
Source: openalex_inverted_index · Quality: baseline

Research context

OpenAlex topics: Ultrasonics and Acoustic Wave Propagation · Ultrasound Imaging and Elastography · Microwave Imaging and Scattering Analysis

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (15)

Show source-provided references
1. Voronkov, V.A., Voronkov, I.V., Kozlov, V.N. et al., On the applicability of phased array technology in solving ultrasonic testing problems for hazardous industrial facilities, V Mire NK, 2011, no. 1, pp. 64–70.
2. Hosten, B., Elastic characterization of orthotropic composite materials from ultrasonic inspection through non-principal planes, in Review of Progress in Quantitative Nondestructive Evaluation, Thompson, D.O. and Chimenti, D.E., Eds., Boston, MA: Springer, 1991, pp. 267–274. https://doi.org/10.1007/978-1-4615-3742-7_3910.1007/978-1-4615-3742-7_39 ↗
3. Kline, R.A., Sahay, S.K., and Madaras, E.I., Ultrasonic modulus determination in composite media, in Review of Progress in Quantitative Nondestructive Evaluation, Thompson, D.O. and Chimenti, D.E., Eds., Boston, MA: Springer, 1991, pp. 325–332. https://doi.org/10.1007/978-1-4615-3742-7_4610.1007/978-1-4615-3742-7_46 ↗
4. Moon, S., Kang, T., Han, S., et al., FEA-based ultrasonic focusing method in anisotropic media for phased array systems, Appl. Sci., 2021, vol. 11, no. 19, p. 8888. https://doi.org/10.3390/app1119888810.3390/app11198888 ↗
5. Hosseini, S.H., and Honarvar, F., A numerical model for ultrasonic time-of-flight diffraction (TOFD) testing of austenitic welds, Russ. J. Nondestr. Test., 2023, vol. 59, pp. 182–203. https://doi.org/10.1134/S106183092360003X10.1134/S106183092360003X ↗
6. Annenkov, A.S., Vopilkin, A.Kh., Grigorev, M.V. et al., Features of the acoustic properties of welded joints of pipelines made of high-strength steel, in Soveshchaniye “Sostoyaniye i osnovnyye napravleniya razvitiya nerazrushayushchego kontrolya kachestva svarnykh soyedineniy ob"yektov PAO ‘Gazprom’” (Meeting “Status and Main Directions of Development of Nondestructive Testing of the Quality of Welded Joints of PJSC ‘Gazprom’”) (St. Petersburg, November 20–23, 2024), pp. 188–193.
7. Bazulin, E.G., Use of the inverse C-SAFT method for equalizing the spatial sensitivity of reflector images, Russ. J. Nondestr. Test., 2015, no. 1, pp. 58–71.
8. Bazulin, A.E., Bazulin, E.G., Butov, A.V., et al., RF Patent No. RU 2841875 C1, Determination of the material’s elasticity coefficients from images reconstructed by the digital aperture focusing method, 2025.
9. Fedorov, F.I., Teoriya uprugikh voln v kristallakh (Theory of Elastic Waves in Crystals), Moscow: Nauka, 1965.
10. Bazulin, A.E., Bazulin, E.G., Vopilkin, A.Kh., et al., Restoration of reflector images at the boundary between the base metal and the welded joint using ultrasonic antenna arrays, Russ. J. Nondestr. Test., 2021, no. 9, pp. 3–17.
11. Bazulin, A.E., Bazulin, E.G., Vopilkin, A.Kh. et al., Analysis of two methods for calibrating an ultrasonic antenna array mounted on a wedge, Defektoskopiya, 2024, no. 3, pp. 14–32.10.31857/S0130308224020024 ↗
12. Yang, X.S., Nature-inspired Metaheuristic Algorithms, Luniver Press, 2010.
13. EXTENDE, Homepage. https://www.extende.com/ndt. Accessed October 26, 2025.
14. ECHO+ RPC, Homepage. URL: https://echoplus.ru/. Accessed May 13, 2025.
15. Gongpeng, Y., Zhou, Z., Li, Y., and Zhou, W., Phase coherence factor-based ultrasonic annular array testing method for coarse-grained materials, J. Phys.: Conf. Ser., 2024, vol. 2770, p. 012007. https://doi.org/10.1088/1742-6596/2770/1/01200710.1088/1742-6596/2770/1/012007 ↗