Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
in January 1966
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Print ISSN 0025-6544
Online ISSN 1934-7936

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IssuesArchive of Issues2004-1pp.56-64

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Total articles in the database: 10864
In Russian (. . ): 8009
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A. A. Kulikov and S. N. Nazarov, "Correspondence principle in plane problems of rectilinear crack growth," Mech. Solids. 39 (1), 56-64 (2004)
Year 2004 Volume 39 Number 1 Pages 56-64
Title Correspondence principle in plane problems of rectilinear crack growth
Author(s) A. A. Kulikov (St. Petersburg)
S. N. Nazarov (St. Petersburg)
Abstract It is shown that the processes of quasistatic rectilinear crack growth in plane orthotropic algebraically equivalent materials occur in a similar manner. A correspondence principle is formulated for media whose elastic and strength characteristics are related by the same affine transformation. Some relations are discovered between stress singularity exponents for anisotropic wedges with clamped or free faces. Some relevant examples are discussed.
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3.  A. A. Kulikov, S. A. Nazarov, and M. A. Narbut, "Affine transformations in the plane problem of anisotropic elasticity," Vestnik SPbGU, Ser. 1, Vol. 3, No. 8, pp. 91-95, 2000.
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6.  I. I. Argatov and S. A. Nazarov, "A Comparison of the Griffith and Irwin criteria for a non-symmetrically growing crack in a plane," Fiz.-Khim. Mekh. Mater., Vol. 36, No. 4, pp. 77-82, 2000.
7.  V. Z. Parton and E. M. Morozov, Mechanics of Elastic-Plastic Fracture [in Russian], Nauka, Moscow, 1974.
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12.  H. F. Bueckner, "A novel principle for the computation of stress intensity factor," ZAMM, Vol. 50, No. 9, pp. 529-546, 1970.
13.  V. G. Maz'ja and B. A. Plamenevskii, "On coefficients in asymptotic formulas for solutions of elliptic boundary value problems in domains with conical points," Math. Nachr., Bd. 76, S. 29-60, 1977.
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15.  S. Nemat-Nasser, Y. Sumi, and L. M. Keer, "Unstable growth of tension cracks in brittle solids: Stable and unstable bifurcations, snap-through and imperfection sensitivity," Int. J. Solids and Struct., Vol. 16, No. 11, pp. 1017-1033, 1980.
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18.  Yu. A. Bogan, "Some variational problems of elasticity with a small parameter," PMM [Applied Mathematics and Mechanics], Vol. 49, No. 4, pp. 604-607, 1985.
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20.  S. A. Ambartsumian, Theory of Anisotropic Plates. Strength, Stability, and Vibrations [in Russian], Nauka, Moscow, 1987.
21.  B. A. Shoikhet, "On asymptotically precise equations of thin plates of complex structure," PMM [Applied Mathematics and Mechanics], Vol. 37, No. 5, pp. 914-924, 1973.
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Received 23 July 2001
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