Abstract
The fracture of rocks has been investigated theoretically and experimentally. The model of evolution of micro- and macrocracking under the action of electromagnetic fields with the help of rf electrodes has been proposed. The calculation of the fields of temperature and thermoelastic stresses makes it possible to study the evolution of macrocracking and to establish the directions of evolution in the case of their 3D configuration. The mechanisms of the formation of a main crack for regions with different tensile stresses have been established. The main crack can evolve towards the range of tensile stresses lower than the ultimate tensile stress. The possibility of controlling the evolution of the main crack by selecting stresses over the length of the crack formed and the heating time has been demonstrated.
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Vl. V. Salomatov, S. E. Pashchenko, S. O. Sladkov, and Vas. V. Salomatov, J. Eng. Phys. Thermophys. 89, 50 (2016).
D. H. Meadows, D. L. Meadows, J. Randers, and W. W. Behrens III, The Limits to Growth (University Books, New York, 1972), pp. 70–77.
M. Rhodes, Introduction to Particle Technology, 2nd ed. (John Wiley & Sons, 2008).
K. P. Singh and M. C. Kakati, Res. Ind. 39, 198 (1994).
O. S. Danilov, V. A. Mikheev, and T. V. Moskalenko, Gorn. Inf.-Anal. Byull., No. 3, 203 (2010).
O. S. Danilov, V. A. Mikheev, and T. V. Moskalenko, Izv. Samar. Nauchn. Tsentra Ross. Akad. Nauk 13, 1264 (2011).
S. Marland, B. Han, A. Merchant, and N. Rowson, Fuel 79, 1283 (2000).
S. Marland, A. Merchant, and N. Rowson, Fuel 80, 1839 (2001).
O. S. Danilov, V. A. Mikheev, and T. V. Moskalenko, Gorn. Inf.-Anal. Byull., No. 4, 285 (2009).
L. Ge, Y. Zhang, Z. Wang, J. Zhou, and K. Cen, Energy Convers. Manage. 71, 84 (2013).
E. Lester and S. Kingman, Fuel 83, 1941 (2004).
S. S. Krasnovskii, Gorn. Inf.-Anal. Byull., No. 3, 163 (1999)
A. P. Obraztsov, A. P. Uvarov, and A. G. Maksimenko, in Thermomechanical Methods of Rock Destruction (Naukova Dumka, Kiev, 1976), p. 149.
S. S. Krasnovskii, Extended Abstract of Candidate’s Dissertation in Engineering (Skochinsky Inst. of Mining, Moscow, 1999).
A. V. Dolgolaptev, Yu. D. Voronovskii, S. S. Krasnovskii, V. F. Nistratov, and A. P. Obraztsov, Gorn. Inf.-Anal. Byull. 10, 99 (2000).
M. S. Seehra and V. Singh, in Microwave Heating, Ed. by U. Chandra (Intech, 2011), pp. 164–168.
S. E. Pashchenko, S. V. Alekseenko, S. S. Pashchenko, V. V. Kolyada, and V. V. Salomatov, RF Patent No. 2514826, Byull. Izobret., No. 13 (2012).
A. G. Starovoit, E. I. Malyi, and M. S. Chemerinskii, Coke Chem. 53, 319 (2010).
E. Lester, S. Kingman, C. Dodds, and J. Patrick, Fuel 85, 2057 (2006).
E. Ruisànchez, A. Arenillas, E. J. Juàrez-Pèrez, and J. A. Menèndez, Fuel 102, 65 (2012).
J. A. Menèndez, A. Arenillas, B. Fidalgo, Y. Fernàndez, L. Zubizarreta, E. G. Calvo, and J. M. Bermàdez, Fuel Process. Technol. 91, 1 (2010).
J. A. Menèndez, E. J. Juàrez-Pèrez, E. Ruisànchez, J. M. Bermàdez, and A. Arenillas, Carbon 49, 346 (2010).
P. M. Kanilo, V. I. Kazantsev, N. I. Rasyuk, K. Schünemann, and D. M. Varviv, Fuel 82, 187 (2003).
D. M. Varviv, V. I. Kazantsev, P. M. Kanilo, N. I. Rasyuk, K. Schunemann, and S. V. Crytsayenko, Telecommun. Radio Eng. 61, 650 (2004).
R. M. Hardgrove, Trans. Am. Soc. Mech. Eng. 54, 37 (1932).
E. E. Sergo, Crushing, Grinding, and Screening of Minerals. College Textbook (Nedra, Moscow, 1985).
L. G. Austin, P. Bagga, and M. Celik, Powder Technol. 28, 235 (1981).
S. W. Kingman and N. A. Rowson, Miner. Eng. 11, 1081 (1998).
M. S. Delibalta and O. Y. Toraman, Energy Sci. Technol. 3, 46 (2012).
B. K. Sahoo, S. De, and B. C. Meikap, Fuel Process. Technol. 92, 1920 (2011).
B. K. Sahoo, S. De, M. Carsky, and B. C. Meikap, Ind. Eng. Chem. Res. 49, 3015 (2010).
S. Kingman, BCURA Project B76. Microwave Pre- Treatment of Coal and Coal Blends to Improve Milling Performance. Final Report (University of Nottingham, 2006).
A. N. Didenko, Microwave Power Engineering: Theory and Practice (Nauka, Moscow, 2003).
S. Samanli, Fuel 90, 659 (2011).
O. Y. Toraman, Energy Sources, Part A 32, 1794 (2010).
M. S. Delibalta and O. Y. Toraman, Energy Sci. Technol. 3, 46 (2012).
M. Altiner, M. Yildirim, and N. Vapur, in Proc. XIII Int. Mineral Processing Symp., Bodrum, Turkey, 2012, p. 737.
S. Marland, B. Han, N. A. Rowson, and A. J. Merchant, Acta Montan. Slovaca 3, 351 (1998).
E. Lester and S. Kingman, Energy Fuels 18, 140 (2004).
E. Lester, S. Kingman, and C. Dodds, Fuel 84, 423 (2005).
B. K. Sahoo, S. De, and B. C. Meikap, Fuel Process. Technol. 92, 1920 (2011).
H. Kumar, E. Lester, S. Kingman, R. Bourne, C. Avila, A. Jones, J. Robinson, P. M. Halleck, and J. P. Mathews, Int. J. Coal Geol. 88, 75 (2011).
E. Ruisànchez, A. Arenillas, E. J. Juàrez-Pérez, and J. A. Menèndez, Fuel 102, 65 (2012).
T. Takanashi and S. Watanabe, IEEE Trans. Nucl. Sci. 48, 950 (2001).
A. A. Belyaev, A. E. Belyaev, I. B. Ermolovich, S. M. Komirenko, R. V. Konakova, V. G. Lyapin, V. V. Milenin, E. A. Solov’ev, and M. V. Shevelev, Tech. Phys. 43, 1445 (1998).
R. A. Red’ko, S. I. Budzulyak, D. V. Korbutyak, A. P. Lotsko, N. D. Vakhnyak, L. A. Demchyna, S. M. Kalytchuk, R. V. Konakova, V. V. Milenin, Yu. V. Bykov, S. V. Egorov, and A. G. Eremeev, Semiconductors 49, 895 (2015).
A. V. Klyuchnik, Zh. Tekh. Fiz. 69, 99 (1992).
D. V. Korbutyak, A. P. Lotsko, N. D. Vakhnyak, L. A. Demchuna, R. V. Konakova, V. V. Milenin, and R. A. Red’ko, Semiconductors 45, 1133 (2011).
I. B. Ermolovich, R. V. Konakova, V. V. Milenin, et al., Fiz. Khim. Tverd. Tela 7, 763 (2006).
I. B. Ermolovich, G. V. Milenin, V. V. Milenin, R. V. Konakova, and R. A. Red’ko, Tech. Phys. 52, 1173 (2007).
S. N. Zhurkov, V. S. Kuksenko, Kh. F. Makhmudov, and A. V. Ponomarev, Dokl. Phys. 42, 420 (1997).
V. S. Kuksenko, N. G. Tomilin, Kh. F. Makhmudov, and A. V. Benin, Tech. Phys. Lett. 33, 62 (2007).
V. S. Kuksenko, Kh. F. Makhmudov, M. D. Il’inov, and Z. M. Abdurakhmonov, Vestn. Inzh. Shk. Dal’nevost. Fed. Univ., No. 3 (20), 98 (2014).
V. S. Kuksenko, Kh. F. Makhmudov, V. A. Mansurov, U. Sultonov, and M. Z. Rustamova, J. Min. Sci. 45, 355 (2009).
Kh. F. Makhmudov, Deform. Razrushenie Mater., No. 8, 41 (2012).
Kh. F. Makhmudov and V. S. Kuksenko, Phys. Solid State 47, 882 (2005).
Kh. F. Makhmudov, V. S. Kuksenko, N. G. Tomilin, and A. V. Benin, Vestn. Tambov. Univ. Ser.: Estestv. Tekh. Nauki 18, 1909 (2013).
M. G. Menzhulin, Kh. F. Makhmudov, V. S. Kuksenko, and U. Sultonov, U., Vestn. Tambov. Univ. Ser.: Estestv. Tekh. Nauki 18, 1667 (2013).
M. G. Menzhulin, Kh. F. Makhmudov, and I. P. Shcherbakov, Thermokinetic Model and Dynamics of Microcracks in Rocks (Lambert Academic, 2014), p. 68.
M. G. Menzhulin, Kh. F. Makhmudov, and I. P. Shcherbakov, Science Today: Theory, Practice, Innovation (Rostov-on-Don, 2014), pp. 159–187.
Kh. F. Makhmudov, M. G. Menzhulin, M. V. Zakharyan, U. Sultonov, and Z. M. Abdurakhmanov, Tech. Phys. 60, 1651 (2015).
M. G. Menzhulin, Kh. F. Makhmudov, N. G. Tomilin, A. V. Benin, U. Sultonov, and Z. M. Abdurakhmanov, Nauchn. Obozr., No. 24, 37 (2015).
W. Li, M. A. Ebadian, T. L. White, R. G. Grubb, and D. Foster, Int. J. Heat Mass Transfer 37, 1013 (1994).
M. Bhattacharya, T. Basak, and R. Senagala, Chem. Eng. Sci. 66, 5832 (2011).
A. P. Dmitriev and S. A. Goncharov, Thermal and Mixed Destruction of Rocks (Nedra, Moscow, 1978).
M. G. Menzhulin, A. N. Shishov, and S. V. Seryshev, in Physics and Mechanics of Rock Destruction in the Context of Prediction of Dynamic Phenomena (VNIMI, St. Petersburg, 1995), pp. 59–65.
Yu. M. Misnik and V. A. Khominskii, Electrophysical Destruction of Rocks (Leningr. Gorn. Inst., Leningrad, 1984), pp. 65–85.
S. S. Krasnovskii and A. P. Obraztsov, in Proc. All- Union Conf. “Physics of Rocks and Rock Processes,” Moscow, Russia, 1971, p. 174.
S. S. Krasnovskii, Nauchn. Soobshch.—Inst. Gorn. Dela im. A. A. Skochinskogo, 101 (1989).
S. S. Krasnovskii, E. F. Epshtein, and A. P. Obraztsov, Nauchn. Soobshch.—Inst. Gorn. Dela im. A. A. Skochinskogo, No. 54, 96 (1968).
S. S. Krasnovskii, E. I. Arsh, and M. F. Drukovannyi, Izv. Dnepropetr. Gorn. Inst. 40, 124 (1961).
S. S. Krasnovskii and Yu. N. Zakharov, in Proc. Conf. “Miner’s Week,” Moscow, Russia, 1994 (Mosk. Gos. Gorn. Univ., Moscow, 1994), p. 193.
V. S. Litvinenko, E. I. Boguslavskii, and P. V. Korzhavykh, Zap. Gorn. Inst. 195, 115 (2012).
A. D. Zavyalov, Phys. Solid State 47, 1034 (2005).
V. N. Oparin, V. I. Vostrikov, O. M. Usol’tseva, P. A. Tsoi, and V. N. Semenov, J. Min. Sci. 51, 624 (2015).
G. A. Sobolev, V. I. Vettegren’, V. V. Ruzhich, S.M. Kireenkova, A. I. Smul’skaya, R. I. Mamalimov, and V. B. Kulik, Geofiz. Issled. 16 (4), 5 (2015).
N. N. Mel’nikov and A. A. Kozyrev, Gorn. Inf.-Anal. Byull., No. S56, 7 (2015).
V. V. Adushkin, G. G. Kocharyan, and A. A. Ostapchuk, Dokl. Earth Sci. 467, 275 (2016).
V. I. Vettegren’, V. S. Kuksenko, and I. P. Shcherbakov, Tech. Phys. 56, 577 (2011).
V. I. Vettegren, V. S. Kuksenko, and I. P. Shcherbakov, Phys. Solid State 54, 1425 (2012).
V. V. Nosov, Russ. J. Nondestr. Test. 52, 386 (2016).
V. S. Kuksenko, A. I. Lyashkov, and V. N. Savel’ev, Defektoskopiya, No. 6, 57 (1980).
A. I. Lyashkov, I. E. Inzhevatkin, and V. N. Savel’ev, Defektoskopiya, No. 6, 98 (1980).
V. V. Nosov, Russ. J. Nondestr. Test. 50, 719 (2014).
V. V. Nosov and I. N. Burakov, Russ. J. Nondestr. Test. 40, 113 (2004).
V. V. Nosov and G. S. Elchaninov, Russ. J. Nondestr. Test. 47, 824 (2011).
V. V. Nosov and V. G. Lavrin, Russ. J. Nondestr. Test. 48, 159 (2012).
V. V. Nosov and T. N. Lachova, Russ. J. Nondestr. Test. 48, 75 (2012).
S. Stanchits, J. Burghardt, and A. Surdi, Rock Mech. Rock Eng. 48, 2513 (2015).
G. Lacidogna, A. Carpinteri, A. Manuello, G. Durin, A. Schiavi, G. Niccolini, and A. Agosto, Strain 47 (S2), 144 (2011).
V. V. Nosov and A. I. Potapov, Russ. J. Nondestr. Test. 51, 50 (2015).
D. A. Lockner, J. D. Byerlee, V. S. Kuksenko, and A. V. Ponomarev, Pure Appl. Geophys. 124, 601 (1986).
D. A. Lockner and S. A. Stanchits, J. Geophys. Res.: Solid Earth 107 (B12), 2353 (2002).
S. P. Soloviev and A. A. Spivak, Izv., Phys. Solid Earth 45, 347 (2009).
Kh. F. Makhmudov, Tech. Phys. 56, 72 (2011).
V. S. Kuksenko and Kh. F. Makhmudov, Tech. Phys. Lett. 30, 612 (2004).
Kh. F. Makhmudov, Sovrem. Naukoemkie Tekhnol., No. 12-3, 426 (2015).
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Original Russian Text © M.G. Menzhulin, Kh.F. Makhmudov, 2017, published in Zhurnal Tekhnicheskoi Fiziki, 2017, Vol. 87, No. 7, pp. 1040–1048.
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Menzhulin, M.G., Makhmudov, K.F. Thermokinetic model of fracture of heterogeneous materials and peculiarities of its numerical realization under the action of RF electromagnetic fields. Tech. Phys. 62, 1056–1064 (2017). https://doi.org/10.1134/S1063784217070131
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DOI: https://doi.org/10.1134/S1063784217070131