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JOURNALS // Vestnik Chuvashskogo Gosudarstvennogo Pedagogicheskogo Universiteta im. I. Ya. Yakovleva. Seriya: Mekhanika Predel'nogo Sostoyaniya // Archive

Vestn. Chuvash. Gos. Ped. Univ. im.I.Ya. Yakovleva Ser.: Mekh. Pred. Sost., 2024 Issue 1(59), Pages 50–60 (Mi mps65)

Approximation of boundary conditions in the analytical solution of the problem of self-balanced stresses for a cylindrical rock sample

M. V. Ostanin, O. N. Lyubimova, E. A. Sverdlov

Far Eastern Federal University, Vladivostok

Abstract: The phenomenon of reversible deformat-on in the pre-destructive region of a rock specimen under uniaxial compression is investigated on the basis of model representati-ons of the theory of self-equilibrated stresses, taking into account the experimentally observed deformation pattern on the specimen surface. The experimental data were obtained using the acoustic-deformation method. The relevance of this study is related to the development of non-classical model representat-ions of mechanics of deformable solid bodies, the evolution of stress-strain state in arrays and rock samples under different kinds of force actions. A method for determining the complete stress-strain state in the entire volume of the specimen throughout the entire loading history has been developed.

Keywords: acoustic deformation method, the phenomenon of the reversible nature of deformations.

UDC: 539.374

Received: 25.01.2024
Revised: 05.07.2024
Accepted: 01.03.2024

DOI: 10.37972/chgpu.2024.59.1.001



© Steklov Math. Inst. of RAS, 2026