Dynamics of deformation of an elastic medium with initial stresses


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Resumo

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.

Sobre autores

E. Romenskii

Sobolev Institute of Mathematics, Siberian Branch; Novosibirsk State University

Autor responsável pela correspondência
Email: evrom@math.nsc.ru
Rússia, Novosibirsk, 630090; Novosibirsk, 630090

E. Lys’

Trofimuk Institute of Oil and Gas Geology and Geophysics, Siberian Branch

Email: evrom@math.nsc.ru
Rússia, Novosibirsk, 630090

V. Cheverda

Trofimuk Institute of Oil and Gas Geology and Geophysics, Siberian Branch

Email: evrom@math.nsc.ru
Rússia, Novosibirsk, 630090

M. Epov

Trofimuk Institute of Oil and Gas Geology and Geophysics, Siberian Branch

Email: evrom@math.nsc.ru
Rússia, Novosibirsk, 630090


Declaração de direitos autorais © Pleiades Publishing, Ltd., 2017

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