MATHEMATICAL MODELING OF THE STRESS STATE IN THE SHAFT BRIDGE INSTALLED IN THE DEVELOPMENT OF A CIRCULAR CROSS-SECTION

Original paper

UDC 622.023.23 c N.V. Cherdantsev, 2025

ISSN 0041-5790 (Print) • ISSN 2412-8333 (Online) • Ugol’ – Russian Coal Journal, 2025, №12

DOI: http://dx.doi.org/10.18796/0041-5790-2025-12-83-85

Authors

N.V. Cherdantsev

Federal Research Center of Coal and Coal Chemistry of Siberian Branch of the Russian Academy of Sciences, Kemerovo, 650056, Russian Federation, e-mail: nvch2014@yandex.ru

Authors Information

Cherdantsev N.V. – Doctor of Engineering Sciences, Chief Researcher, Federal Research Center of Coal and Coal Chemistry of Siberian Branch of the Russian Academy of Sciences, Kemerovo, 650056, Russian Federation, e-mail: nvch2014@yandex.ru

Abstract

The elastically plastic problem of the stress state of a layered massif containing an extended single mine is solved sequentially: first, the stress field in the extremely stressed zone near the working is constructed using V.V. Sokolovsky’s method of characteristics for bulk and cohesive media; then, replacing that zone with boundary stresses, the problem reduces to an elasticity boundary-value problem for a medium with a reinforced cutout matching the zone’s dimensions. The elasticity problem is solved by the boundary element method.

Keywords

Massif of rocks, mine working, the Coulomb-Mohr criterions, method of characteristics, the boundary element method.

References

1. Руппенейт К.В. Некоторые вопросы механики горных пород. М.: Углетехиздат, 1954. 384 с.
2. Фисенко Г.Л. Предельные состояния горных пород вокруг выработок. М.: Недра, 1976. 272 с.
3. Булычев Н.С. Механика подземных сооружений. М.: Недра, 1984. 382 с.
4. Ставрогин А.Н., Протосеня А.Г. Механика деформирования и разрушения горных пород. М.: Недра, 1992. 224 с.
5. Петухов И.М., Линьков А.М. Механика горных ударов и выбросов. М.: Недра, 1983. 280 с.
6. Mohammadi H., Pietruszczak S. Description of damage process in fractured rocks. International Journal of Rock Mechanics and Mining Sciences. 2019;(113):295-302.
7. Xufeng Liu, Peng-Zhi Pan, Zhaofeng Wang et al. Three-dimensional transversely isotropic equivalent continuum model for layered rock and numerical implementation. International Journal of Rock Mechanics and Mining Sciences. 2024;(175):105661.
8. Haonan Wang, Tianshou Ma, Yang Liu et al. Numerical and experimental investigation of the anisotropic tensile behavior of layered rocks in 3D space under Brazilian test conditions. International Journal of Rock Mechanics and Mining Sciences. 2023;(170):105558.
9. Wenjing Wang, Douglas R. Schmitt, Wei L.A. Program to forward model the failure pattern around the wellbore in elastic and strength anisotropic rock formations. International Journal of Rock Mechanics and Mining Sciences. 2022;(151):105035.
10. Ross Seedsman. Assessing the conditions at the boundary of excavations in bedded or foliated rocks. International Journal of Rock Mechanics and Mining Sciences. 2021;(148):104983.
11. Черданцев Н.В. Исследование предельно напряженного состояния пласта в его краевой зоне методами механики сыпучей среды // Горный информационно-аналитический бюллетень (научно-технический журнал). 2020. № 3. С. 45-57. DOI: 10.25018/0236-1493-2020-3-0-45-57.
12. Соколовский В.В. Статика сыпучей среды. М.: Наука, 1990. 272 с.
13. Cherdantsev N.V. A Certain Approach to Constructing the Solution to the Problem of Coal and Methane Outburst from a Marginal Seam Zone. Mechanics of Solids. 2022;57(8):2128–2150. DOI: 10.3103/S0025654422080301.
14. Лурье А.И. Теория упругости. М.: Наука, 1970. 940 с.
15. Партон В.З., Перлин П.И. Методы математической теории упругости. М.: Наука, 1981. 688 с.

For citation

Cherdantsev N.V. Mathematical modeling of the stress state in the shaft bridge installed in the development of a circular cross-section. Ugol’. 2025;(12):83-85. (In Russ.). DOI: 10.18796/0041-5790-2025-12-83-85.

Paper Info

Received October 3, 2025

Reviewed November 15, 2025

Accepted November 28, 2025