 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| V. M. Alexandrov and D. A. Pozharskii, "To the problem of a crack on the elastic strip-half-plane interface," Mech. Solids. 36 (1), 70-76 (2001) |
| Year |
2001 |
Volume |
36 |
Number |
1 |
Pages |
70-76 |
| Title |
To the problem of a crack on the elastic strip-half-plane interface |
| Author(s) |
V. M. Alexandrov (Moscow)
D. A. Pozharskii (Moscow) |
| Abstract |
We study the plane problem of a crack on the interface between an elastic
strip and an elastic half-plane made of another material. The strip adheres
to the elastic half-plane and a normal load (concentrated force) is applied
to the outer surface of this two-layer body. In order to solve the system
of integral equations for the jumps of the displacements in
the crack zone, we use a regular asymptotic method [1], which is effective
if the crack is sufficiently narrow. On the basis of the solution obtained,
it is proposed to use an integral fracture criterion of Novozhilov type [2]
for evaluating the actual dimensions of the crack.
Previously, similar plane problems were considered for
cracks on the interface between two elastic half-planes, for instance,
in [3]. Problems of circular defects like cracks or inclusions on
the plane between two regions with distinct elastic properties were
investigated in [4, 5]. |
| References |
| 1. | V. M. Alexandrov, "On plane contact problems in elasticity with
adhesion or friction," PMM [Applied Mathematics and Mechanics], Vol. 34,
No. 2, pp. 246-257, 1970. |
| 2. | N. F. Morozov, Mathematical Problems in the Theory of Cracks [in Russian],
Nauka, Moscow, 1984. |
| 3. | V. M. Alexandrov and M. A. Sumbatyan, "Periodic array of cracks
on the contact boundary between two elastic half-planes," in Proc.
3rd Int. Conf. on Modern Problems in Continuum
Mechanics. Volume 1 [in Russian], pp. 26-29, OOO MP Kniga, Rostov-on-Don,
1997. |
| 4. | V. I. Mossakovskii, P. E. Berkovich, and V. M. Rybka, "Mixed
axially symmetric problem of elasticity for a piecewise homogeneous space
with a circular crack at the interface plane," Doklady AN Ukr.SSR, Ser. A,
No. 9, pp. 812-816, 1978. |
| 5. | V. V. Efimov, A. F. Krivoi, and G. Ya. Popov, "Problems on the
stress concentration near a circular imperfection
in a composite elastic medium,"
Izv. AN. MTT [Mechanics of Solids], No. 2, pp. 42-58, 1998. |
| 6. | Ya. S. Uflyand, Integral Transforms in Elasticity Problems
[in Russian], Izd-vo AN SSSR, Moscow, Leningrad, 1963. |
| 7. | G. P. Aleksandrova, "Contact problems of bending of plates
on an elastic foundation," Izv. AN. MTT [Mechanics of Solids]old, No. 1, pp. 97-106, 1973. |
| 8. | V. M. Alexandrov, B. I. Smetanin, and B. V. Sobol', Thin Stress
Concentrators in Elastic Solids [in Russian], Nauka, Moscow, 1993. |
| 9. | F. D. Gakhov, Boundary Value Problems [in Russian], Nauka, Moscow, 1977. |
| 10. | N. I. Muskhelishvili, Some Basic Problems in Mathematical
Elasticity [in Russian], Fizmatgiz, Moscow, 1966. |
| 11. | V. V. Panasyuk, Limit Equilibrium of Brittle Bodies with Cracks
[in Russian], Naukova Dumka, Kiev, 1966. |
| 12. | V. M. Alexandrov, J. J. Kalker, and D. A. Pozharskii,
"Three-dimensional contact problem for a two-layered elastic base with an
unknown contact area," Izv. AN. MTT [Mechanics of Solids], No. 4, pp. 51-55, 1999. |
| 13. | G. G. Gnesin and S. N. Fomenko, "Wear-resistant coatings on tool
materials," Poroshkovaya Metallurgiya, No. 9/10, pp. 17-28, 1996. |
|
| Received |
17 December 1999 |
| << Previous article | Volume 36, Issue 1 / 2001 | Next article >> |
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