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A Journal of Russian Academy of Sciences
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in January 1966
Issued 6 times a year
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IssuesArchive of Issues2006-6pp.140-149

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R. V. Goldstein and E. I. Shifrin, "On the possible crooking of a tensile crack in an anisotropic plane," Mech. Solids. 41 (6), 140-149 (2006)
Year 2006 Volume 41 Number 6 Pages 140-149
Title On the possible crooking of a tensile crack in an anisotropic plane
Author(s) R. V. Goldstein (Moscow)
E. I. Shifrin (Moscow)
Abstract The elasticity problem for a rectilinear crack directed along one of the symmetry axes of an orthotropic plane is considered. We assume that tensile forces normal to the crack are applied at infinity. The crack is modeled as a thin elliptic notch. The strength properties of the orthotropic plane are assumed to be isotropic. We show that although the tensile forces are normal to the crack, the crack begins to crook or branch immediately after start provided that the elastic constants lie in a certain domain.
References
1.  J. Cook and J. E. Gordon, "A mechanism for the control of crack propagation in all-brittle systems," Proc. Roy. Soc. London. Ser. A, Vol. 282, No. 1391, pp. 508-520, 1964.
2.  A. N. Polilov, "Crack arrest by an interface," Izv. AN SSSR. MTT [Mechanics of Solids], No. 1, pp. 68-72, 1974.
3.  S. G. Lekhnitskii, Anisotropic Elasticity [in Russian], Nauka, Moscow, 1977.
4.  Yu. N. Rabotnov, Mechanics of Solids [in Russian], Nauka, Moscow, 1979.
5.  A. N. Stroh, "Dislocations and cracks in anisotropic elasticity," Philos. Mag., Vol. 3, No. 30, pp. 625-646, 1958.
6.  G. N. Savin, Stress Distribution near Holes [in Russian], Naukova Dumka, Kiev, 1968.
7.  G. C. Sih and H. Liebowitz, "Mathematical theory of brittle fracture," in Fracture: An Advanced Treatise. Volume 2. Mathematical Fundamentals, pp. 108-114, Academic Press, New York, 1968.
Received 10 August 2006
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