Dynamics of deformation of an elastic medium with initial stresses


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Аннотация

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.

Авторлар туралы

E. Romenskii

Sobolev Institute of Mathematics, Siberian Branch; Novosibirsk State University

Хат алмасуға жауапты Автор.
Email: evrom@math.nsc.ru
Ресей, Novosibirsk, 630090; Novosibirsk, 630090

E. Lys’

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

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

V. Cheverda

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

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

M. Epov

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

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

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