| | 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 |
1. | R. Reissner,
"On Bending of Elastic Plates,"
Quart. Appl. Math.
5, 55-68 (1947). |
2. | E. I. Grigolyuk,
"Equations of Three-Layer Shells with Light Filler,"
Izv. Akad. Nauk SSSR. OTN,
No. 1, 77-84 (1957). |
3. | S. A. Ambartsumyan,
Theory of Three-Layer Shells
(Fizmatgiz, Moscow, 1961)
[in Russian]. |
4. | E. I. Grigolyuk and P. P. Chulkov,
Stability and Vibrations of Three-Layer Shells
(Mashinostroenie, Moscow, 1973)
[in Russian]. |
5. | V. V. Bolotin and Yu. N. Novichkov,
Mechanics of Multi-Layer Constructions
(Mashinostroenie, Moscow, 1980)
[in Russian]. |
6. | S. N. Sukhinin,
Applied Problems of Stability of Multilayer Composite Shells
(Fizmatlit, Moscow, 2010)
[in Russian]. |
7. | G. V. Ivanov,
"Solution of the Plane Mixed Problem of the Theory of Elasticity in the Form
of a Series in Legendre Polynomials,"
Zh. Prikl. Mekh. Tekhn. Fiz.,
No. 6, 126-137 (1976)
[J. Appl. Mech. Tech. Phys. (Engl. Transl.)
17 (6), 856-866 (1976)]. |
8. | G. V. Ivanov,
Theory of Plates and Shells
(NGU, Novosibirsk, 1980)
[in Russian]. |
9. | Yu. M. Volchkov and L. A. Dergileva,
"Solution of Elastic Layer Problems from Approximate Equations
and Comparison with Solutions of Elasticity,"
in Dynamics of Continuum, No. 28
(AN SSSR, Sib. Otdel., In-t Gidrodin., Novosibirsk, 1977),
pp. 43-54
[in Russian]. |
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]. |
11. | Yu. M. Volchkov and L. A. Dergileva,
"Equations of an Elastic Anisotropic Layer,"
Zh. Prikl. Mekh. Tekhn. Fiz.
45 (2), 188-198 (2004)
[J. Appl. Mech. Tech. Phys. (Engl. Transl.)
45 (2), 301-309 (2004)]. |
12. | B. D. Annin,
"Transverse-Isotropic Elastic Model of Geomaterials,"
Sib. Zh. Industr. Mat.
12 (3(39)), 5-15 (2009). |
13. | A. P. Gospodarikov,
"Numerical-Analytical Method for Solving Important Applied Problems
of Geomechanics for Linear Law of Deformation of Rocks,"
in Mathematical Models and Methods of Continuum Mechanics,
Dedicated to A. A. Burenin on the occasion of his 60th birthday
(Vladivostok, 2007),
pp. 52-64
[in Russian]. |
14. | L. V. Baev,
"Calculation of Multilayer Plates with Transverse Shear and Compression Taken into Account,"
Din. Sploshnoi Sredy,
No. 6, 92-105 (1970). |
|
Received |
11 May 2013 |
Link to Fulltext |
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