Research output: Contribution to journal › Article › peer-review
Dynamics of deformation of an elastic medium with initial stresses. / Romenskii, E. I.; Lys’, E. B.; Cheverda, V. A. et al.
In: Journal of Applied Mechanics and Technical Physics, Vol. 58, No. 5, 01.09.2017, p. 914-923.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Dynamics of deformation of an elastic medium with initial stresses
AU - Romenskii, E. I.
AU - Lys’, E. B.
AU - Cheverda, V. A.
AU - Epov, M. I.
PY - 2017/9/1
Y1 - 2017/9/1
N2 - 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.
AB - 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.
KW - elastic waves
KW - initial stresses
KW - motion of an elastic medium
UR - http://www.scopus.com/inward/record.url?scp=85037549248&partnerID=8YFLogxK
U2 - 10.1134/S0021894417050182
DO - 10.1134/S0021894417050182
M3 - Article
AN - SCOPUS:85037549248
VL - 58
SP - 914
EP - 923
JO - Journal of Applied Mechanics and Technical Physics
JF - Journal of Applied Mechanics and Technical Physics
SN - 0021-8944
IS - 5
ER -
ID: 9646803