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Journal of Mining Sciences

2020 year, number 2

Elastoplastic Model of Rocks under Internal Self-Balancing Stresses. Continuum Approximation

A. F. Revuzhenko, O. A. Mikenina
Chinakal Institute of Mining, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
Keywords: горная порода, упругость, пластичность, самоуравновешенные напряжения, rock, elasticity, plasticity, self-balancing stresses

Abstract

The authors construct a continuum approximation for the model of a medium with internal structure and internal self-balancing stresses. The presupposition of diffeomorphism, i.e. existence of partial space derivatives of displacements is largely slackened. The information brought to the closed model of a geomedium by this presupposition is comparable with the information brought by the constitutive equations. The new model includes local bends of grains of the skeleton, plasticity and elastic strains of the binding medium in the pore space. The model is of a gradient type.