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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Original Russian Text © E.I. Romenskii, E.B. Lys’, V.A. Cheverda, M.I. Epov.
Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 58, No. 5, pp. 178–189, September–October, 2017.
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Romenskii, E.I., Lys’, E.B., Cheverda, V.A. et al. Dynamics of deformation of an elastic medium with initial stresses. J Appl Mech Tech Phy 58, 914–923 (2017). https://doi.org/10.1134/S0021894417050182
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DOI: https://doi.org/10.1134/S0021894417050182