Email this article Dynamics of deformation of an elastic medium with initial stresses
- Authors: Romenskii E.I.1,2, Lys’ E.B.3, Cheverda V.A.3, Epov M.I.3
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Affiliations:
- Sobolev Institute of Mathematics, Siberian Branch
- Novosibirsk State University
- Trofimuk Institute of Oil and Gas Geology and Geophysics, Siberian Branch
- Issue: Vol 58, No 5 (2017)
- Pages: 914-923
- Section: Article
- URL: https://journals.rcsi.science/0021-8944/article/view/160395
- DOI: https://doi.org/10.1134/S0021894417050182
- ID: 160395
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Abstract
The constitutive equations of motion of an elastic medium with given initial stresses are formulated in the form of a hyperbolic system of first order differential equations. Equations describing the propagation of small perturbations in a prestressed isotropic medium with an arbitrary dependence of the elastic strain energy on the strain tensor are derived, and equations for the quadratic dependence of elastic strain energy on the strain tensor are given.
About the authors
E. I. Romenskii
Sobolev Institute of Mathematics, Siberian Branch; Novosibirsk State University
Author for correspondence.
Email: evrom@math.nsc.ru
Russian Federation, Novosibirsk, 630090; Novosibirsk, 630090
E. B. Lys’
Trofimuk Institute of Oil and Gas Geology and Geophysics, Siberian Branch
Email: evrom@math.nsc.ru
Russian Federation, Novosibirsk, 630090
V. A. Cheverda
Trofimuk Institute of Oil and Gas Geology and Geophysics, Siberian Branch
Email: evrom@math.nsc.ru
Russian Federation, Novosibirsk, 630090
M. I. Epov
Trofimuk Institute of Oil and Gas Geology and Geophysics, Siberian Branch
Email: evrom@math.nsc.ru
Russian Federation, Novosibirsk, 630090
