Recovering the crack-size distribution function from the amplitude-frequency acoustic emission spectrum
Source abstract
Abstract
The inverse problem of reconstructing the crack-size distribution function from the amplitude-frequency acoustic emission spectrum is considered. It is shown that this problem can be solved with the use of the models proposed in this work for the dependence of the averaged difference of elastic stresses at the surfaces of radiating cracks on their radius. The proportionality coefficients of these dependences are fitted by minimizing the free surface energy, i.e., by searching for the minimum of the specific internal surface of cracks with a constant crack volume (porosity).
Source: openalex_inverted_index · Quality: baseline
Research context
OpenAlex topics: Ultrasonics and Acoustic Wave Propagation · Rock Mechanics and Modeling · Mineral Processing and Grinding
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (10)
Show source-provided references
1. Aleinikov, A.L., Belikov, V.T., Nemzorov, N.I., and Troyanov, A.K., Interpretation of Acoustic-Emission Signals Observed at the Ural Superdeep Well, Geol. Geofiz., 1992, no. 6, pp. 118–126.
2. Aleinikov, A.L., Belikov, V.T., and Nemzorov, N.I., Acoustic Emission in Heterogeneous Media, Defektoskopiya, 1993, no. 3, pp. 31–36.
3. Belikov, V.T., Modeling of Acoustic-Emission Processes in a Solid, Defektoskopiya, 2008, no. 6, pp. 77–84 [Rus. J. Nondestr. Test. (Engl. Transl.), 2008, vol. 44, no. 6, pp. 429–435].10.1134/S1061830908060090 ↗
4. Belikov, V.T., Reconstruction of Structural Characteristics of a Damaged Solid from the Amplitude-Frequency Spectrum of Acoustic Emission, Defektoskopiya, 2010, no. 1, pp. 56–63 [Rus. J. Nondestr. Test. (Engl. Transl.), 2010, vol. 46, no. 1, pp. 42–48].10.1134/S1061830910010067 ↗
5. Ipatov A.I., Gorodnov A.V., Ipatov S.I., Mar’enko N.N., et al., Investigation of the Amplitude-Frequency Spectra of Acoustic and Electromagnetic Noise Signals in the Filtration of Fluids in Rocks, Geofizika, 2004, no. 2, pp. 25–30.
6. Belikov, V.T., Quantitative Description of Heat and Mass Transfer Processes in the Lithosphere, Geol. Geofiz., 1991, no. 5, pp. 3–9.10.2113/RGG.1991.32.5.1 ↗
7. Gnedenko, B.P., Kurs teorii veroyatnostei (Course in Probability Theory), Moscow: Nauka, 1988.
8. Landau, L.D. and Lifshits, E.M., Gidrodinamika (Hydrodynamics), Moscow: Nauka, 1986.
9. Landau, L.D. and Lifshits, E.M., Statisticheskaya fizika (Statistical Physics), Moscow: Nauka, 1964.
10. Belikov, V.T. and Shestakov, A.F., Time-Dependent Stress Change During Failure of Rocks, Geol. Geofiz., 2008, no. 5, pp. 461–470 [Rus. Geol. Geophys. (Engl. Transl.), 2008, vol. 49, no. 5, pp. 350–356].10.1016/j.rgg.2007.10.010 ↗