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JOURNALS // Meždunarodnyj naučno-issledovatel'skij žurnal // Archive

Meždunar. nauč.-issled. žurn., 2022 Issue 1(115), Pages 13–23 (Mi irj634)

PHYSICS AND MATHEMATICS

Solution to the problem of creep of curvilinear-anisotropic media by the Runge-Kutta-Fehlberg method of 5-6 order

Yu. I. Dimitrienko, Yu. V. Yurin, T. R. Gumirgaliev, G. A. Krasnov

Bauman Moscow State Technical University

Abstract: The article proposes a method for preliminary analysis of the composition and assessment of the dynamics of layers of deep-lying rock formations, physical knowledge of which is insufficient or cannot be obtained experimentally without the stage of development and launch of wells, mines and quarries. This method is based on modeling the stress-strain state of rocks taking into account block-curved anisotropy and creep. The paper proposes a method for an effective numerical solution of the stress-strain state problem taking into account block-curved anisotropy and creep. The developed software is offered on the basis of the Scientific and Educational Center “Supercomputer engineering modeling and development of software complexes” of the Bauman Moscow State Technical University to create, describe, solve, analyze soil models and other mathematical models.

Keywords: rock, stress-strain state, creep equations, anisotropy, numerical methods, finite element method.

DOI: 10.23670/IRJ.2022.115.1.002



© Steklov Math. Inst. of RAS, 2024