Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
 Founded
in January 1966
Issued 6 times a year
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IssuesArchive of Issues2015-6pp.641-649

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I.F. Zharikov, V.N. Zakharov, and B.K. Norel, "Strength Certificate and the Constraint Equation Relating Stress and Strain Invariants for Inhomogeneous Rocks in Bulk Stress State," Mech. Solids. 50 (6), 641-649 (2015)
Year 2015 Volume 50 Number 6 Pages 641-649
DOI 10.3103/S0025654415060059
Title Strength Certificate and the Constraint Equation Relating Stress and Strain Invariants for Inhomogeneous Rocks in Bulk Stress State
Author(s) I.F. Zharikov (Research Institute of Comprehensive Development of Mineral Resources, Kryukovsky tup. 4, Moscow, 111020 Russia, zharikovif@mail.ru)
V.N. Zakharov (Research Institute of Comprehensive Development of Mineral Resources, Kryukovsky tup. 4, Moscow, 111020 Russia)
B.K. Norel (A. A. Skochinsky Institute of Mining, Oktyabrsky pr. 411, Lyubertsy, Moscow Region, 140004 Russia)
Abstract Mechanical models of rocks subjected to various bulk stress states are considered. The models contain the Nadai parameter, which takes into account various types of the bulk stress state, the potential energy of bulk variation, and the potential energy of variations in the shape of rock elements in the equilibrium stress-strain state. These variables permit determining the conditions under which rock massifs stay in equilibrium and the conditions under which rock can cease to be in equilibrium owing to the bulk stress state action; they also allow one to justify the physical parameters of the rock strength certificate under the bulk stress state action and determine the constraint equation relating the stress and strain invariants for inhomogeneous rocks.
Keywords rocks, bulk stress state, mechanical model, rock strength certificate
References
1.  N. I. Bezukhov, Foundations of the Theory of Elasticity, Plasticity, and Creep (Vysshaya Shkola, Moscow, 1961) [in Russian].
2.  Yu. N. Rabotnov, Elements of Hereditary Mechanics of Solids (Nauka, Moscow, 1977) [in Russian].
3.  V. N. Rodionov, I. A. Sizov, and V. M. Tsetkov, Foundations of Geomechanics (Nedra, Moscow, 1986) [in Russian].
4.  A. Nadai, Plasticity and Fracture of Solids (McGrawHill, New York, 1931; Mir, Moscow, 1969).
Received 12 July 2013
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