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IssuesArchive of Issues2016-5pp.515-521

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Total articles in the database: 10864
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V.A. Babeshko, O.M. Babeshko, and O.V. Evdokimova, "On the Stress Monitoring Problem for Parallel Gallery Regions," Mech. Solids. 51 (5), 515-521 (2016)
Year 2016 Volume 51 Number 5 Pages 515-521
DOI 10.3103/S0025654416050010
Title On the Stress Monitoring Problem for Parallel Gallery Regions
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)
Abstract We consider the problem of estimating the stress-strain state in underground hard mineral mines where long parallel underground galleries are formed. There are a number of papers dealing with local causes of gallery accidents due to variations in the medium stress-strain state occurring as the minerals are withdrawn. At the same time, the authors' theory of hidden effects shows that gallery fracture can be caused both by local actions on the defect region and by some long-range factors that can affect these defects remotely by localizing the stress-strain state in the defect region. It should be noted that the stress in the gallery region is redistributed each time a new gallery is formed or the dimensions of the existing galleries are changed. In this paper, a theory for estimating the stress-strain state in underground mines with arbitrarily many parallel galleries of various dimensions is developed.

It is shown that the stresses due to remote factors can be monitored in all gallery regions. The study is based on factorization methods, the block element method, and the topological approach.
Keywords stress-strain state, gallery, deformable layer, Kirchhoff plate, block element, integral equation, functional equation, boundary value problem
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, I. B. Gladskoi, O. V. Evdokimova, G. N. Uafa, T. A. Khafuz, and V. L. Shestopalov, "Localization of a Static Process in Bodies with Defect Coatings," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 4, 90-97 (2015) [Mech. Solids (Engl. Transl.) 50 (4), 432-438 (2015)].
3.  V. A. Babeshko, O. V. Evdokimova, O. M. Babeshko, A. G. Fedorenko, and V. L. Shestopalov, "Cracked Coating Problem in Nanomaterials and Seismology," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 5, 39-45 (2013) [Mech. Solids (Engl. Transl.) 48 (5), 514-519 (2013)].
4.  V. A. Babeshko, O. V. Evdokimova, and O. M. Babeshko, "The Problem of Physical and Mechanical Precursors of an Earthquake: Place, Time, and Intensity," Dokl. Ross. Akad. Nauk 466 (6), 664-669 (2016) [Dokl. Phys. (Engl. Transl.) 61 (2), 92-97 (2016)]
5.  I. I. Vorovich and V. A. Babeshko, Dynamic 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 15 May 2016
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