Stress–strain assessment of rock mass around cylindrical opening by its boundary displacement measurements

The article offers a method of stress–strain assessment of rock mass around a cylindrical opening of random cross-section by measurements of normal and tangential displacements of the opening boundary. The method includes solution of a Cauchy boundary-value problem, when the Cauchy stress vector and the displacement vector are set simultaneously at the boundary of the opening. The normal and tangential displacements are expanded into the Fourier series. The problem solving uses Kolosov–Muskhelishvili’s formulas for an arbitrary cross-section cylindrical opening imaged by a conformal transformation on a single circle. The complex potentials, and the expressions of stresses and displacements in the polar and rectangular coordinate systems are obtained. For checking the computational model, the compression tests are performed with the samples made of equivalent materials (organic glass, cementand-sand mixture, marble) and with a cylindrical hole. By the measured normal and tangential displacements of the hole boundary, the calculations of the applied load and geometrics of the samples is carried out. The calculated loads and sizes of the samples are compared with their actual values, and the comparison results prove usability of the proposed method for the stress– strain assessment of rock mass around mine openings.

Chanyshev A. I., Abdulin I. M., Gorodilov L. V. Stress–strain assessment of rock mass around cylindrical opening by its boundary displacement measurements. MIAB. Mining Inf. Anal. Bull. 2025;(3):80-94. [In Russ]. DOI: 10.25018/0236_1493_2025_3_0_80.

The study was supported by the Russian Science Foundation, Project No. 22-17-00188.

A.I. Chanyshev¹, Dr. Sci. (Phys. Mathem.), Professor, Chief Researcher, Novosibirsk State University of Economics and Management, 630099, Novosibirsk, Russia, e-mail: a.i.chanyshev@gmail.com, ORCID ID: 0000-0001-5772-0648,
I.M. Abdulin¹, Researcher, e-mail: i.m.abdulin@mail.ru, ORCID ID: 0000-0003-4541-2992,
L.V. Gorodilov¹, Dr. Sci. (Eng.), Assistant Professor, Head of Laboratory, e-mail: gor@misd.ru, ORCID ID: 0000-0003-0044-9783,
¹ Chinakal Institute of Mining Siberian Branch, Russian Academy of Sciences, 630091, Novosibirsk, Russia.

A.I. Chanyshev, e-mail: a.i.chanyshev@gmail.com.

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