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IssuesArchive of Issues2017-4pp.384-390

Archive of Issues

Total articles in the database: 9179
In Russian (. . ): 6485
In English (Mech. Solids): 2694

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V.A. Babeshko, O.M. Babeshko, O.V. Evdokimova, M.V. Zaretskaya, A.V. Pavlova, S.B. Uafa, and V.L. Shestopalov, "Monitoring of Parallel Galleries in the Region of Horizontal Motion of Lithospheric Plates," Mech. Solids. 52 (4), 384-390 (2017)
Year 2017 Volume 52 Number 4 Pages 384-390
DOI 10.3103/S0025654417040045
Title Monitoring of Parallel Galleries in the Region of Horizontal Motion of Lithospheric Plates
Author(s) V.A. Babeshko (South Scientific Center, Russian Academy of Sciences, ul. Chekhova 41, Rostov-on-Don, 344006 Russia; Kuban State University, ul. Stavropol'skaya 149, Krasnodar, 350040 Russia, babeshko41@mail.ru)
O.M. Babeshko (Kuban State University, ul. Stavropol'skaya 149, Krasnodar, 350040 Russia)
O.V. Evdokimova (South Scientific Center, Russian Academy of Sciences, ul. Chekhova 41, Rostov-on-Don, 344006 Russia)
M.V. Zaretskaya (Kuban State University, ul. Stavropol'skaya 149, Krasnodar, 350040 Russia)
A.V. Pavlova (Kuban State University, ul. Stavropol'skaya 149, Krasnodar, 350040 Russia)
S.B. Uafa (South Scientific Center, Russian Academy of Sciences, ul. Chekhova 41, Rostov-on-Don, 344006 Russia)
V.L. Shestopalov (South Scientific Center, Russian Academy of Sciences, ul. Chekhova 41, Rostov-on-Don, 344006 Russia)
Abstract The problem of estimating the stress-strain state of underground openings of solid minerals, which form long parallel underground galleries, is considered. Several papers studied the local causes of accidents that occur in underground galleries during mineral extraction due to variations in the stress-strain state of the medium. The influence of formation of new galleries, which violate the balance of vertical stresses in the walls between the galleries, is also studied. At the same time, the problem on the influence of horizontal displacements of lithospheric plates on the stress-strain state of parallel galleries is little studied. These displacements affect the horizontal components of the contact stress vector arising between the upper and lower layers and the walls between the galleries. In this paper, the theory of estimating the stress-strain state in underground openings with arbitrarily many parallel galleries of various dimensions is developed under the assumption that the tangential components of the stress vector exist in the contact regions between the layers and the walls. The study is based on factorization methods, block element method, and a topological approach.
Keywords stress-strain state, galleries, deformed layers, Kirchhoff plates, block elements, integral and functional equations, boundary value problems
References
1.  G. I. Barenblatt and S. A. Khristianovich, "On Roof Caving in Mine Working," Izv. Akad. Nauk SSSR. OTN., No. 11, 73-82 (1955).
2.  V. A. Babeshko, O. M. Babeshko, and O. V. Evdokimova, "On the Stress Monitoring Problem for Parallel Gallery Regions," Izv. Ross. Akad. Nauk. Mekh. Tverd. Tela, No. 5, 6-14 (2016) [Mech. Solids (Engl. Transl.) 51 (5), 515-521 (2016)].
3.  V. A. Babeshko, O. V. Evdokimova, and O. M. Babeshko, "To the Theory of Influence of a Global Factor of the Strength of a Set of Parallel Connections," Vych. Mekh. Sploshn. Sred 9 (4), 412-419 (2016).
4.  N. F. Morozov, Mathematical Problems of Crack Theory (Nauka, Moscow, 1984) [in Russian].
5.  I. I. Vorovich and V. A. Babeshko, Dynamical Mixed Problems of Elasticity for Nonclassical Domains (Nauka, Moscow, 1979) [in Russian].
6.  I. I. Vorovich, V. M. Alexandrov, and V. A. Babeshko, Nonclassical Mixed Problems of Elasticity (Nauka, Moscow, 1974) [in Russian].
7.  V. A. Babeshko, Generalized Factorization Method in Spatial Dynamical Mixed Problems of Elasticity (Nauka, Moscow, 1984) [in Russian].
Received 16 March 2017
Link to Fulltext https://link.springer.com/article/10.3103/S0025654417040045
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