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This article is cited in 7 scientific papers (total in 7 papers)
Dynamics of deformation of an elastic medium with initial stresses
E. I. Romenskiiab, E. V. Lysc, V. A. Tcheverdac, M. I. Èpovc a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russia
b Novosibirsk State University, Novosibirsk, 630090, Russia
c Trofimuk Institute of Oil and Gas Geology and Geophysics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia
Abstract:
The constitutive equations of motion of an elastic medium with given initial stresses are formulated in the form of a hyperbolic system of differential equations of the first order. Equations describing the propagation of small perturbations in a prestressed isotropic medium with an arbitrary energy dependence of the elastic deformation in the strain tensor are derived, and equations for the quadratic dependence of elastic strain energy on the strain tensor are given.
Keywords:
motion of an elastic medium, initial stresses, elastic waves.
Received: 24.04.2017
Citation:
E. I. Romenskii, E. V. Lys, V. A. Tcheverda, M. I. Èpov, “Dynamics of deformation of an elastic medium with initial stresses”, Prikl. Mekh. Tekh. Fiz., 58:5 (2017), 178–189; J. Appl. Mech. Tech. Phys., 58:5 (2017), 914–923
Linking options:
https://www.mathnet.ru/eng/pmtf671 https://www.mathnet.ru/eng/pmtf/v58/i5/p178
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