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IssuesArchive of Issues2012-5pp.491-497

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G.A. Volkov, N.A. Gorbushin, and Yu.V. Petrov, "On the Dependence of the Threshold Energy of Small Erodent Particles on Their Geometry in Erosion Fracture," Mech. Solids. 47 (5), 491-497 (2012)
Year 2012 Volume 47 Number 5 Pages 491-497
DOI 10.3103/S0025654412050019
Title On the Dependence of the Threshold Energy of Small Erodent Particles on Their Geometry in Erosion Fracture
Author(s) G.A. Volkov (St. Petersburg State University, Research Center of Dynamics, Universitetskiy pr-t 28, Petergof, St. Petersburg, 198504 Russia)
N.A. Gorbushin (St. Petersburg State University, Research Center of Dynamics, Universitetskiy pr-t 28, Petergof, St. Petersburg, 198504 Russia, gorbushinnikolay@gmail.com)
Yu.V. Petrov (St. Petersburg State University, Research Center of Dynamics, Universitetskiy pr-t 28, Petergof, St. Petersburg, 198504 Russia, yp@yp1004.spb.edu)
Abstract The structural-temporal approach and the incubation time criterion are used to study the threshold energy necessary to initiate erosion fracture of a material surface. The behavior of the energy threshold values depending on the indentor geometry (ball, cylinder, and body of revolution) is analyzed. The graphs of threshold energy versus impact pulse duration and radius are drawn. The difference in the behavior of energy for small particles in these cases is established.
Keywords fracture, erosion, incubation time criterion, threshold energy
References
1.  Yu. V. Petrov and A. A. Utkin, "On the Rate Dependence of Dynamic Fracture Toughness," Sov. Mater. Sci. 25 (2), 153-156 (1989).
2.  Yu. V. Petrov, "On the `Quantum' Nature of Dynamic Fracture of Brittle Solids," Dokl. Akad. Nauk SSSR 321 (1), 66-68 (1991) [Sov. Math. Dokl. (Engl. Transl.)].
3.  Yu. V. Petrov, "Incubation Time Criterion and the Pulsed Strength of Continua: Fracture, Cavitation, and Electrical Breakdown," Dokl. Ross. Akad. Nauk 395 (5), 621-625 (2004) [Dokl. Phys. (Engl. Transl.) 49 (4), 246-248 (2004)].
4.  Yu. Petrov and N. Morozov, "On the Modeling of Fracture of Brittle Solids," Trans. ASME. J. Appl. Mech. 61 (3), 710-712 (1994).
5.  Yu. V. Petrov, N. F. Morozov, and V. I. Smirnov, "Structural Macromechanics Approach in Dynamics of Fracture," Fat. Fract. Engng Mater. Struct. 26 (4), 363-372 (2003).
6.  N. Morozov and Yu. Petrov, Dynamics of Fracture (Springer, Berlin-Heidelberg-New York, 2000).
7.  N. F. Morozov and Yu. V. Petrov, Problems of Fracture of Solids (Izd-vo SPbGU, St. Petersburg, 1997).
8.  V. I. Smirnov, "On the Effect of the Geometric Shape of Abrasive Particles on the Threshold Rate of Erosion," Probl. Prochn., No. 1, 69-78 (2007) [Strength of Materials (Engl. Transl.) 39 (1), 46-52 (2007)].
9.  Yu. V. Petrov and V. I. Smirnov, "Interrelation between the Threshold Characteristics of Erosion and Spall Fracture," Zh. Tekhn. Fiz. 80 (2), 71-76 (2010) [Tech. Phys. (Engl. Transl.) 55 (2), 230-235 (2010)].
10.  K. L. Johnson, Contact Mechanics (Cambridge University Press, Cambridge, 1987; Mir, Moscow, 1989).
11.  I. Ya. Shtaerman, Contact Problem of the Theory of Elasticity (Gostekhizdat, Moscow-Leningrad, 1949) [in Russian].
12.  Yu. V. Kolesnikov and E. M. Morosov, Mechanics of Contact Fracture (Nauka, Moscow, 1989) [in Russian].
13.  G. A. Volkov, V. V. Zilbershmidt, V. I. Babitskii, et al., "Energy Aspects of Ultrasonic Intensification of Treatment of Metals," Dokl. Ross. Akad. Nauk 431 (4), 479-481 (2010) [Dokl. Phys. (Engl. Transl.) 55 (4), 184-185 (2010)].
Received 15 May 2012
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