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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, Deformation Mechanics and Optimal Design of Layered Bodies (Izd-vo In-ta Gidrodin. im. M. A. Lavrentieva, Novosibirsk, 2005) [in Russian].
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Received 11 May 2013
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