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

Лавриков, С. В.; Ревуженко, А. Ф.

doi:10.1134/s1062739120060022

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2023

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Cited by 10 publications

References 38 publications

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Mathematical models of rock mass affected by high pressure gradients

Ревуженко

Лавриков

2021

E3S Web Conf.

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The authors propose to solve the problems connected with high pressure gradients using a model of a linearly elastic body with a structural parameter. The closed finite difference system of equations is formulated for plain strain deformation conditions. The problem on deformation of rock mass in the vicinity of an underground opening affected by mixed-type gravity-and-tectonic stress field is solved. It is demonstrated that addition of the structure in the solution changes the value of the stress concentration coefficient.

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Mathematical models of rock mass affected by high pressure gradients

Ревуженко

Лавриков

2021

E3S Web Conf.

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Mathematical model and numerical calculations of disastrous pressure phenomena in rock mass with weakening cavity

Лавриков

2021

E3S Web Conf.

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The study focuses on deformation and stability of structurally nonuniform rock masses in the vicinity of a mined-out void. Rock masses can for a long time accumulate energy of external forces as internal stresses. The accumulated energy can release both as aseismic relaxation of stresses and as rock bumps and rock bursts. The numerical analysis uses the rock mass model including self-balancing stresses and strength loss. The paper gives examples of calculations of standard problems in mining and illustrates feasibility of modeling disastrous pressure phenomena.

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Stress concentration analysis in rock mass with regard to elastoplastic shears and local bends

Lavrikov,

Mikenina

2023

PHYSICAL MESOMECHANICS OF CONDENSED MATTER: Physical Principles of Multiscale Structure Formation and the Mechanisms of Nonline

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

Cited by 10 publications

References 38 publications

Mathematical models of rock mass affected by high pressure gradients

Mathematical models of rock mass affected by high pressure gradients

Mathematical model and numerical calculations of disastrous pressure phenomena in rock mass with weakening cavity

Stress concentration analysis in rock mass with regard to elastoplastic shears and local bends

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