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Journal of Mining Sciences

2022 year, number 1

3D Model of Plastic Deformation of Granular Medium

A. F. Revuzhenko
Chinakal Institute of Mining, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630091 Russia
Keywords: 3D model, energy dissipation, effective packing

Abstract

The author presents a 3D structured packing with a coordination index equal to 8 to replace effectively a real-life random packing of particles. The notions of vectors of principal stresses and plastic strain rates are introduced. 3D equations of plastic deformation are constructed. They fulfill the model adequacy requirement-zero energy dissipation in the medium of perfectly smooth particles. In the presence of internal friction, the equations lead to a nonassociated flow rule.