Dynamics of deformation of an elastic medium with initial stresses |
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Authors: | E I Romenskii E B Lys’ V A Cheverda M I Epov |
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Institution: | 1.Sobolev Institute of Mathematics, Siberian Branch,Russian Academy of Sciences,Novosibirsk,Russia;2.Novosibirsk State University,Novosibirsk,Russia;3.Trofimuk Institute of Oil and Gas Geology and Geophysics, Siberian Branch,Russian Academy of Sciences,Novosibirsk,Russia |
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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. |
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