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IssuesArchive of Issues2007-2pp.321-328

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D. V. Gotsev, I. A. Enenko, and A. N. Sporykhin, "Local instability of horizontal elliptic excavations in elastoviscoplastic rock masses," Mech. Solids. 42 (2), 321-328 (2007)
Year 2007 Volume 42 Number 2 Pages 321-328
Title Local instability of horizontal elliptic excavations in elastoviscoplastic rock masses
Author(s) D. V. Gotsev (Voronezh State University, Universitetskaya pl. 1, Voronezh, 394006, Russia, demingotcev@mail.ru)
I. A. Enenko (Voronezh State University, Universitetskaya pl. 1, Voronezh, 394006, Russia, enenkoira@yandex.ru)
A. N. Sporykhin (Voronezh State University, Universitetskaya pl. 1, Voronezh, 394006, Russia)
Abstract In the framework of three-dimensional stability equations, we study the local instability of a horizontal excavation with elliptic cross-section under the assumption that the rock mass behaves like an elastoviscoplastic media. An estimate of the influence of the rock mass parameters on the value of the critical pressure is given.
References
1.  L. V. Ershov, "On Effects of Rock Pressure in Horizontal Excavations," Dokl. Akad. Nauk SSSR 145 (2), 298-300 (1962) [Soviet Math. Dokl.].
2.  M. T. Alimzhanov, "Equilibrium Stability Problems in Problems of Geomechanics," Uspekhi Mekhaniki 13 (3), 21-57 (1990).
3.  D. V. Gotsev and A. N. Sporykhin, "Local Buckling of Drifts with a Composite Lining in an Elastoplastic Rock," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 1, 158-166 (2004) [Mech. Solids. (Engl. Transl.)].
4.  A. N. Sporykhin, Perturbation Method in Stability Problems for Complex Media (Izd-vo Voronezh Univ., Voronezh, 1997) [in Russian].
5.  G. I. Bykovtsev and D. D. Ivlev, Plasticity Theory (Dal'nauka, Vladivostok, 1998) [in Russian].
6.  A. Yu. Ishlinskii and D. D. Ivlev, Mathematical Theory of Plasticity (Fizmatlit, Moscow, 2001) [in Russian].
7.  A. N. Guz', Foundations of Stability Theory of Rock Excavations (Naukova Dumka, Kiev, 1977) [in Russian].
8.  A. N. Sporykhin, A. V. Kovalev, and Yu. D. Shcheglova, Non-One-Dimensional Problems of Elastoviscoplasticity with Unknown Boundary (Izd-vo Voronezh Univ., Voronezh, 2004) [in Russian].
9.  M. S. Kornishin, Nonlinear Problems of Theory of Plates and Shallow Shells and a Method for Solving These Problems (Nauka, Moscow, 1964) [in Russian].
Received 06 July 2004
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