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IssuesArchive of Issues2002-3pp.117-128

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A. I. Malkin and E. M. Podgaetskii, "Hydrodynamic effects in physical-chemical fracture mechanics. Part 2. Crack initiation and growth," Mech. Solids. 37 (3), 117-128 (2002)
Year 2002 Volume 37 Number 3 Pages 117-128
Title Hydrodynamic effects in physical-chemical fracture mechanics. Part 2. Crack initiation and growth
Author(s) A. I. Malkin (Moscow)
E. M. Podgaetskii (Moscow)
Abstract In the framework of previously proposed models, we study hydrodynamical effects in processes of fracture of solid bodies in active liquid media. We calculate the period of induction of crack initiation under "instantaneous" loading and find the dependence of the crack initiation stress on the strain rate for a solid body loaded with constant velocity. It is shown that these models result in qualitatively correct kinematic diagrams and can be used to explain the observed laws. Two mechanisms of crack growth rate stabilization are considered- the reduction of local stresses at the crack tip and the appearance of cavitational micro-discontinuities in the liquid. Relations for crack growth are obtained for the stage of stable growth. The possibility of coexistence of qualitatively different growth modes is established. This possibility is due to the nonlocal hydrodynamical interaction of the fracturing solid body and the external liquid. Special properties of the kinetics due to the nonlocal hydrodynamical interaction have no relation to the details of fracture micro-mechanisms. Probably, for this reason the kinematic diagrams of crack growth are qualitatively similar for various material-medium combinations.
References
1.  A. I. Malkin and E. M. Podgaetskii, "Hydrodynamical effects in physical-chemical fracture mechanics. Part 1. Kinetic models," Izv. AN. MTT [Mechanics of Solids], No. 2, pp. 134-144, 2001.
2.  V. A. Bershtein, Mechanical-Hydrolytic Processes and Strength of Solids [in Russian], Nauka, Leningrad, 1987.
3.  S. Wiederhorn, "A chemical interpretation of static fatigue," I. Amer. Ceram. Soc., Vol. 55, No. 2, pp. 81-85, 1972.
4.  S. Wiederhorn, S. Freiman, E. Fuller, and C. J. Simmons, "Effects of water and other dielectrics on crack growth," J. Mater. Sci., Vol. 17, No. 12, pp. 3460-3478, 1982.
5.  E. Fuller, B. Lawn, and R. Thomson, "Atomic modelling of chemical interaction at crack tips," Acta Metallurg, Vol. 28, No. 10, pp. 1405-1414, 1980.
6.  R. Thomson, Physics of Fracture. Atomic Theory of Fracture [Russian translation], Mir, Moscow, 1987.
7.  G. P. Cherepanov, Mechanics of Brittle Fracture [in Russian], Nauka, Moscow, 1974.
8.  M. Kh. Kadmar, Liquid Metal Embrittlement. Embrittlement of Structural Steels and Alloys [in Russian], Metallurgiya, Moscow, 1988.
9.  E. E. Glikman and Yu. V. Goryunov, "Mechanism of liquid metal brittleness and other manifestations of the Rebinder effect in metal systems," Fiz.-Khim. Mekh. Materialov, Vol. 14, No. 4, pp. 20-30, 1978.
10.  V. I. Likhtman, E. D. Shchukin, and P. A. Rebinder, Physical-Chemical Mechanics of Metals [in Russian], Izd-vo AN SSSR, Moscow, 1962.
11.  P. A. Rebinder and E. D. Shchukin, "Surface phenomena in solids in the process of their deformation and fracture," P. A. Rebinder. Selected Works [in Russian], pp. 203-268, Nauka, Moscow, 1979.
12.  M. P. Svaruk, Stress Intensity Factors in Solids with Cracks [in Russian], Naukova Dumka, Kiev, 1988.
Received 17 May 2000
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