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IssuesArchive of Issues2004-1pp.121-126

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D. V. Gotsev and A. N. Sporykhin, "Local buckling of drifts with a composite lining in an elastoplastic rock," Mech. Solids. 39 (1), 121-126 (2004)
Year 2004 Volume 39 Number 1 Pages 121-126
Title Local buckling of drifts with a composite lining in an elastoplastic rock
Author(s) D. V. Gotsev (Voronezh)
A. N. Sporykhin (Voronezh)
Abstract The local buckling of a drift with a composite lining is investigated in the case of the elastoplastic behavior of the rock and the lining materials. The investigation is based on 3D buckling equations. The influence of the rock and lining parameters on the critical contact pressure is assessed.

Rock mechanics problems related to mine working involve the analysis of local buckling of the rock near drifts in the case of elastoplastic deformation of the materials [1-4]. This analysis involves the determination of the optimal contact pressure on the lining and the cross-sectional dimensions of the drift. Unlike [2], the present paper deals with the investigation of the local buckling of the rock in the drift near-shaft zone, with the composite structure of the lining being taken into account. This investigation is based on the exact 3D equations [5].

The idea of the determination of the rock pressure by solving the buckling problem is due to L. V. Ershov.
References
1.  A. N. Sporykhin and A. I. Shashkin, "Buckling of vertical openings hardening in plastic massifs," Prikladnaya Mekhanika, Vol. 10, No. 11, pp. 76-80, 1974.
2.  A. N. Sporykhin, "On the buckling of drifts in massifs possessing elastoviscoplastic properties," Izv. AN KazSSR, No. 1, pp. 67-72, 1975.
3.  M. T. Alimzhanov, "Stability of equilibrium in geomechanics," Uspekhi Mekhaniki [Advances in Mechanics], Vol. 13, No. 3, pp. 21-57, 1990.
4.  A. N. Sporykhin and A. S. Chebotarev, "Local buckling of the walls of boreholes in compressible hardening elastoviscoplastic materials," Zh. Prikl. Mekhaniki i Tekhn. Fiziki, Vol. 40, No. 6, pp. 177-183, 1999.
5.  A. N. Guz', Fundamentals of 3D Stability of Solids [in Russian], Kiev, Vishcha Shkola, 1986.
6.  L. V. Ershov, "On the manifestation of the rock pressure in drifts," Doklady AN SSSR, Vol. 145, No. 2, pp. 298-300, 1962.
7.  D. D. Ivlev and G. I. Bykovtsev, Theory of a Hardening Plastic Body [in Russian], Nauka, Moscow, 1971.
8.  G. I. Bykovtsev and D. D. Ivlev, Theory of Plasticity [in Russian], Dal'nauka, Vladivostok, 1998.
9.  D. V. Gotsev, A. V. Kovalev, and A. N. Sporykhin, "Local buckling of plates with pressed-in annular inclusions in the case of elastoplastic behavior of the materials," Zh. Prikl. Mekhaniki i Tekhn. Fiziki, Vol. 42, No. 3, pp. 146-151, 2001.
10.  A. N. Sporykhin, Perturbation Method in Problems of Stability of Composite Bodies [in Russian], Izd-vo Voronezhsk. Un-ta, Voronezh, 1997.
11.  M. S. Kornishin, Nonlinear Problems in the Theory of Plates and Shallow Shells and Methods for their Solution [in Russian], Nauka, Moscow, 1964.
Received 07 May 2001
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