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This article is cited in 14 scientific papers (total in 14 papers)
Elastoplastic model of rocks with a linear structural parameter
A. F. Revuzhenko, O. A. Mikenina Mining Institute, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630091, Russia
Abstract:
A closed mathematical model is formulated, which takes into account elastoplastic deformations and the medium capability of accumulating the energy of internal self-balanced stresses. Satisfaction of the diffeomorphism postulate (assumption of displacement field smoothness) is not required; as a result, the strains depend on the stresses and second derivatives of the stresses with respect to the coordinates. The model involves a linear structural parameter. Relations that take into account local bending of the elementary volumes of the medium are derived.
Keywords:
rocks, elasticity, plasticity, self-balanced stresses, structural parameter.
Received: 01.06.2017
Citation:
A. F. Revuzhenko, O. A. Mikenina, “Elastoplastic model of rocks with a linear structural parameter”, Prikl. Mekh. Tekh. Fiz., 59:2 (2018), 167–176; J. Appl. Mech. Tech. Phys., 59:2 (2018), 332–340
Linking options:
https://www.mathnet.ru/eng/pmtf606 https://www.mathnet.ru/eng/pmtf/v59/i2/p167
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