Abstract
An approach is developed for determination of the strain state of elastic systems of layered orthotropic shells of revolution with elastic slip layers when the difference in the tangential displacements of the contact-surface layers is proportional to the tangential stress with a coefficient dependent on the arc length of the generatrix. A resolving system of differential equations and the conditions of the mating sections are obtained for the systems. Results are presented for the solution of specific problems.
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References
N. A. Alfutov, P. A. Zinov'ev, and B. G. Popov,Analysis of Multilayer Shells and Plates Formed from Composite Materials [in Russian], Mashinostroenie, Moscow (1984).
S. A. Ambartsumyan,General Theory of Anisotropic Shells [in Russian], Nauka, Moscow (1974).
V. V. Bolotin and Yu. N. Novichkov,Mechanics of Multilayer Structures [in Russian], Mashinostroenie, Moscow (1980).
A. T. Vasilenko, “Axisymmetric deformation of laminar shells of revolution with different contact-layer conditions,”Prikl. Mekh.,33, No. 9, 50–55 (1997).
A. T. Vasilenko, G. P. Golub, and Ya. M. Grigorenko, “Determination of the stress state of multilayer orthotropic shells of variable stiffness in a more precisely defined statement,”Prikl. Mekh.,12, No. 2, 40–47 (1976).
A. T. Vasilenko, G. P. Golub, Ya. M. Grigorenko, and A. I. Shinkar', “Solution of problems of the statics of multilayer shells of revolution with tapered layers,”Prikl. Mekh.,6, No. 2, 12–17 (1970).
V. V. Vasil'ev,Mechanics of Structures Formed from Composite Materials [in Russian], Mashinostroenie, Moscow (1988).
Zh. R. Vinson and R. A. Sirakovskii,Behavior of Structures Formed from Composite Materials [in Russian], Metallurgiya, Moscow (1991).
É. I. Grigolyuk, E. A. Kogan, and V. I. Mamai, “Problems of the deformation of thin-wall laminar structures with delaminations,”Izv. Ross. Akad. Nauk. Mekh. Tverd. Tela, No. 2, 6–32 (1994).
Ya. M. Grigorenko and A. T. Vasilenko, “Asymmetric deformation of isotropic and anisotropic shells of revolution,”Prikl. Mekh.,4, No. 3, 19–28 (1968).
B. Ya. Kantor and V. M. Romenskii, “On one numerical method of investigating multilayer shells of revolution with an interlayer gap,”Prikl. Mekh.,23, No. 4, 27–32 (1987).
B. L. Pelekh, A. V. Maksimuk, and I. M. Korovaichuk,Contact Problems for Laminar Structural Elements and Bodies with Coatings [in Russian], Naukova Dumka, Kiev (1988).
V. A. Bazhenov, E. A. Gotsulyak, A. I. Ogloblya, Yu. L. Dankevich, and O. V. Gerashchenko,Analysis of Composite Structures with Allowance for Delamination [in Russian], Budivel'nyk, Kiev (1992).
K. Reifenaider, “Operational damage of composite structures,” in:Applied Mechanics of Composites [Russian translation], Mir, Moscow (1989), pp. 108–142.
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S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev. Translated from Prikladnaya Mekhanika, Vol. 35, No. 9, pp. 51–57, September, 1999.
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Vasilenko, A.T., Urusova, G.P. Stress state of laminar systems formed from shells of revolution with nonrigid layer contact. Int Appl Mech 35, 910–916 (1999). https://doi.org/10.1007/BF02682287
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DOI: https://doi.org/10.1007/BF02682287