 | | 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 |
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| B.D. Annin, L.V. Baev, and Yu.M. Volchkov, "Equation of a Layered Packet with Transverse Shears and Compression Taken into Account," Mech. Solids. 49 (1), 59-66 (2014) |
| Year |
2014 |
Volume |
49 |
Number |
1 |
Pages |
59-66 |
| DOI |
10.3103/S0025654414010075 |
| Title |
Equation of a Layered Packet with Transverse Shears and Compression Taken into Account |
| Author(s) |
B.D. Annin (Lavrentyev Institute of Hydrodynamics, Siberian Branch of the Russian Academy of Sciences, pr-t akad. Lavrentyeva 15, Novosibirsk, 630090 Russia, annin@hydro.nsc.ru)
L.V. Baev (Lavrentyev Institute of Hydrodynamics, Siberian Branch of the Russian Academy of Sciences, pr-t akad. Lavrentyeva 15, Novosibirsk, 630090 Russia, baevlev@inbox.ru)
Yu.M. Volchkov (Lavrentyev Institute of Hydrodynamics, Siberian Branch of the Russian Academy of Sciences, pr-t akad. Lavrentyeva 15, Novosibirsk, 630090 Russia, volk@hydro.nsc.ru) |
| Abstract |
The equations describing a layered packet with transverse shears and compression taken into account in all layers are constructed in this paper. The layer material is assumed to be elastic and transversely isotropic. The generalized Timoshenko kinematic hypotheses are used to take into account the transverse shears and compression. The equations in generalized forces, moments, and displacements are obtained, and the equations for characteristic functions in terms of which all variables describing the stress-strain state in the layered packet can be expressed are derived. The deformation problem for a three-layer beam is considered as an example. |
| Keywords |
layered plate, transversely isotropic layer, generalized Timoshenko hypothesis, characteristic function |
| References |
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| 10. | B. D. Annin,
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[in Russian]. |
| 11. | Yu. M. Volchkov and L. A. Dergileva,
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| 12. | B. D. Annin,
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| 13. | A. P. Gospodarikov,
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[in Russian]. |
| 14. | L. V. Baev,
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Din. Sploshnoi Sredy,
No. 6, 92-105 (1970). |
|
| Received |
11 May 2013 |
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