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Journal of Mining Sciences

2020 year, number 6

Mathematical Modeling of Unstable Deformation in Rock Mass with Regard to Self-Balancing Stresses

S. V. Lavrikov, A. F. Revuzhenko
Chinakal Institute of Mining, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
Keywords: rock mass, structure, modeling, internal variables, self-balancing stresses, energy release, tunnel, calculation

Abstract

The authors discuss a mathematical model of rock mass with regard to accumulation and release of stored energy. Self-balancing stresses are described using internal variables introduced. The type of a closed system of equations is examined. An algorithm is proposed for the numerical modeling of softening jumps within a quasi-static problem. The problem on deformation of rock mass around a tunnel is solved using the finite element method. Under certain conditions, self-balancing stresses can be unbalanced, which causes disastrous dynamic phenomena associated with confining pressure.