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Journal of Mining Sciences

2025 year, number 3

Constitutive Equations for Creep, and Deformationand Energy-Based Criteria of Rock Failure

A. M. Kovrizhnykh, V. D. Baryshnikov, A. P. Khmelinin
Chinakal Institute of Mining, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
Keywords: Rock creep, long-term strength, dissipation function, internal friction, dilatancy, failure time, associated and non-associated flow rules

Abstract

For metals, soil and rocks, a creep model non-associated with the Tresca and Mohr-Coulomb yield surfaces is discussed. The constitutive laws for creep in the model contain angles of internal friction and dilatancy. The authors propose a procedure for finding angles of internal friction and dilatancy using creep curves obtained from testing cylindrical samples. Determination of the time of failure at different irreversible strain rates and different initial stress levels uses the deformation-based and energy-based failure criteria applicable to both uniform and non-uniform stress states under long-term loading.