 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4760 |
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| T.I. Belyankova, V.V. Kalinchuk, and D.N. Sheidakov, "Higher-Order Modules in the Equations of Dynamics of a Prestressed Elastic Solid," Mech. Solids. 54 (4), 491-501 (2019) |
| Year |
2019 |
Volume |
54 |
Number |
4 |
Pages |
491-501 |
| DOI |
10.3103/S0025654419040010 |
| Title |
Higher-Order Modules in the Equations of Dynamics of a Prestressed Elastic Solid |
| Author(s) |
T.I. Belyankova (South Scienti fic Centre of the Russian Academy of Sciences, ul. Chekhova 41, Rostov-on-Don, 344006 Russia; South Federal University, pr. Stachki 200/1, Rostov-on-Don, 344090 Russia)
V.V. Kalinchuk (South Scienti fic Centre of the Russian Academy of Sciences, ul. Chekhova 41, Rostov-on-Don, 344006 Russia; South Federal University, pr. Stachki 200/1, Rostov-on-Don, 344090 Russia, kalin@ssc-ras.ru)
D.N. Sheidakov (South Scienti fic Centre of the Russian Academy of Sciences, ul. Chekhova 41, Rostov-on-Don, 344006 Russia) |
| Abstract |
In terms of the reference configuration, the linearization of the equations of nonlinear mechanics of an initially isotropic elastic solid (IIES) is carried out in the vicinity of a. certain prestressed equilibrium state. In this case, we used a. special representation of the elastic potential in terms of algebraic invariants of the Cauchy-Green strain tensor containing moduli of higher orders. Linearized defining relations and equations of motion are constructed that take into account the nonlinear effect of the initial deformations on the properties of the IIES. |
| Keywords |
higher-order modules, prestressed medium, initial strain, algebraic invariants of the Cauchy-Green strain tensor |
| Received |
28 August 2017 |
| Link to Fulltext |
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