Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
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in January 1966
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IssuesArchive of Issues2002-3pp.110-116

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A. V. Berezin and P. L. Ponomarev, "Transverse and longitudinal shear cracks in dilating media with different moduli," Mech. Solids. 37 (3), 110-116 (2002)
Year 2002 Volume 37 Number 3 Pages 110-116
Title Transverse and longitudinal shear cracks in dilating media with different moduli
Author(s) A. V. Berezin (Moscow)
P. L. Ponomarev (Moscow)
Abstract An iterative scheme is developed for solving the problem of the transverse shear crack. A deviation of the $n$th approximation from the exact solution is evaluated. In the case of longitudinal shear crack, the convergence of the iterative method is proved and an estimate of the convergence parameter is found.
References
1.  A. V. Berezin, Effect of Damage on Strain Characteristics and Strength of Solids [in Russian], Nauka, Moscow, 1990.
2.  A. V. Berezin, "Mechanics of fracture of dilating media with different moduli," Problemy Mashinostroeniya i Nadezhnosti Mashin, No. 1, pp. 59-70, 1997.
3.  G. P. Cherepanov, Mechanics of Brittle Fracture [in Russian], Nauka, Moscow, 1974.
4.  Yu. N. Rabotnov, Mechanics of Solids [in Russian], Nauka, Moscow, 1988.
5.  V. V. Panasyuk (Editior), Fracture Mechanics and Strength of Materials, Handbook in 4 Volumes [in Russian], Naukova Dumka, Kiev, 1988.
6.  N. I. Muskhelishvili, Some Basic Problems of the Mathematical Theory of Elasticity [in Russian], Nauka, Moscow, 1966.
7.  D. L. Bykov, "On certain relations between invariants of stresses and strains in physically nonlinear media," in Elasticity and Inelasticity, Vol. 2 [in Russian], pp. 114-128, Izd-vo MGU, Moscow, 1971.
Received 22 May 2000
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