Abstract
Using the relations of the improved model of layered anisotropic shells based on the straight line assumption taking account of the thermal compression over the thickness we obtain a resolvent system of equations for shells whose properties depend on temperature. We carry out a study of the stresses in a two-layer cylindrical shell formed by winding as a function of the winding angle.
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Literature cited
E. I. Grigolyuk, Ya. S. Podstrigach, and Ya. I. Burak,Optimization of the Heating of Shells and Plates [in Russian], Naukova Dumka, Kiev (1979).
Ya. M. Grigorenko,Isotropic and Anisotropic Layered Shells of Revolution of Variable Stiffness [in Russian], Naukova Dumka, Kiev (1973).
L. V. Kantorovich and V. I. Krylov,Approximate Methods of Higher Analysis, Interscience, New York (1964).
A. D. Kovalenko,Fundamentals of Thermoelasticity [in Russian], Naukova Dumka, Kiev (1970).
Ya. S. Pidstrigach and S. Ya. Yarema,Thermal Stresses in Shells [in Ukrainian], Ukrainian Academy of Sciences Press, Kiev (1961).
Ya. S. Podstrigach and A. N. Shvets,Thermoelasticity of Thin Shells [in Russian], Naukova Dumka, Kiev (1978).
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Translated fromMatematicheskie Metody i Fiziko-Mekhanicheskie Polya, Issue 35, 1992, pp. 82–85.
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Grigorenko, Y.M., Vasilenko, A.T. Determination of the thermal stresses in anisotropic shells of revolution. J Math Sci 67, 2892–2895 (1993). https://doi.org/10.1007/BF01095864
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DOI: https://doi.org/10.1007/BF01095864