Abstract
The wave dynamics of the stress-strain state of a solid dielectric during electrical explosion near its surface is analyzed. A quantitative model of an electrical explosion is developed which describes the operation of a high-voltage generator, the expansion of the discharge channel, and the generation and distribution of shock-wave perturbations. Two mechanisms of formation of a spall cavity on the surface of the solid are considered: the less energetic mechanism implemented by means of the waves reflected from the surface, and the more energetic mechanism in which result from the action of a direct wave of compressive stresses. The effects of the reflection surface shape and the mode of energy input into the channel on the possible fracture pattern are estimated.
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References
A. A. Vorob’ev, Rock Breaking by Electrical Pulse Discharges [in Russian], Izd. Tomsk. Univ., Tomsk (1961).
B. V. Semkin, A. F. Usov, and V. I. Kurets, Fundamentals of Material Fracture by an Electrical Pulse [in Russian], Nauka, St. Petersburg (1995).
V. T. Kazub, G. S. Korshunov, and A. T. Chepikov, “On the formation of a discharge in a system of electrodes located at the interface between liquid and solid dielectrics,” Izv. Vyssh. Uchebn. Zaved., Fiz., No. 9, 61–66 (1978).
G. A. Mesyatz, “On the nature the Vorob’evykh effect in the physics of pulse breakdown of solid dielectrics,” Pis’ma Zh. Tekh. Fiz., 31, No. 24, 51–59 (2005).
G. Z. Usmanov, V. V. Lopatin, M. D. Noskov, and A. A. Cheglokov, “Simulation of electrical discharge development at interface of solid and liquid dielectric,” Izv. Vyssh. Uchebn. Zaved., Fiz., 10, 231–234 (2006).
V. Ya. Ushakov, V. F. Klimkin, S. M. Korobeinikov, and V. V. Lopatin, in: V. Ya. Ushakov (ed.), Breakdown of Liquids by a Pulsed Voltage [in Russian], Izd. Nauch. Tekh. Lit., Tomsk (2005).
A. A. Vorob’ev and G. A. Vorob’ev, Electrical Breakdown and Fracture of Solid Dielectrics [in Russian], Vysshaya Shkola, Moscow (1966).
I. V. Timoshkin, J. W. Mackersie, and S. J. MacGregor, “Plasma channel miniature hole drilling technology,” IEEE Trans., Plasma Sci., 32, No. 5, 2055–2061 (2004).
D. Jgun, M. Jurkov, V. Lopatin, et al., “Application of pulsed discharges for materials cutting,” in: Digest of Paper of Europ. Pulsed Energy Symp., Saint Louis, France (2002), pp. 22/1–22/4.
V. V. Burkin, N. S. Kuznetsova, and V. V. Lopatin, “Analysis of mechanisms of rock destruction in electro discharge drilling,” Izv. Vyssh. Uchebn. Zaved., Fiz., No. 11 (Append.), 507–510 (2006).
V. V. Burkin, N. S. Kuznetsova, and V. V. Lopatin, “Modeling of electrical explosion in solid dielectrics in electrical discharge technologies,” Izv. Tomsk. Politech. Univ., 309, No. 2, 70–75 (2006).
V. V. Burkin, “Characteristics of the explosive action associated with the pulsed electrical breakdown of hard materials,” Combust., Expl., Shock Waves, No. 4, 484–487 (1985).
Yu. N. Vershinin, Electron-Thermal and Detonation Processes during Electrical Breakdown of Solid Dielectrics [in Russian], Izd. Ural. Otd. Ross. Akad. Nauk, Ekaterinburg (2000).
V. V. Burkin, N. S. Kuznetsova, and V. V. Lopatin, “Dynamics of electrical explosion in a solid dielectric immersed in a liquid,” in: Fundamental and Applied Problems of Modern Mechanics, Proc. 5th Al-Russian Conf. (Tomsk, October 3–5, 2006), Tomsk. Politekh. Univ., Tomsk (2004), pp. 104–106.
R. Rompe and W. Weizel, “Über das Toeplersche Funkengesetz,” Z. Phys. B, 122, 9–12 (1944).
B. V. Semkin, A. F. Usov, and N. T. Zinov’ev, Transient Processes in Electric-Pulse Facilities [in Russian], Nauka, St. Petersburg (2000).
M. L. Wilkins, “Calculation of elastic-plastic flow,” in: B. Alder, S. Frenbach, and M. Rotenberg (eds.), Methods of Computational Physics, Academic Press, New York-London (1964).
M. Born and M. Göppert-Mayer, Handbuch der Physik, Springer-Verlag, Berlin (1933).
K. A. Naugolnykh and N. A. Roi, Electrical Discharges in Water [in Russian], Nauka, Moscow (1971).
I. Z. Okun’, “Calculation of liquid pressure on a piston at a constant speed of piston expansion,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1, Issue 1, 126–130 (1968).
K. P. Stanyukovich (ed.), Physics of Explosion [in Russian], Nauka, Moscow (1975).
E. N. Bellendir, V. V. Belyaev, and O. B. Naimark, “Kinetics of multifocal fracture under spalling conditions,” Pis’ma Zh. Tekh. Fiz., 15, No. 13, 90–93 (1989).
J. A. Zukas, T. Nicholas, H. F. Swift, A. B. Greszczuk, and D. R. Curran, Impact Dynamics, New York, Wiley (1982).
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Translated from PrikladnayaMekhanika i Tekhnicheskaya Fizika, Vol. 51, No. 1, pp. 162–172, January–February, 2010.
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Burkin, V.V., Kuznetsova, N.S. & Lopatin, V.V. Formation of a spall cavity in a dielectric during electrical explosion. J Appl Mech Tech Phy 51, 137–144 (2010). https://doi.org/10.1007/s10808-010-0021-2
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DOI: https://doi.org/10.1007/s10808-010-0021-2