Abstract
We discuss the results of the determination of the stress and displacement fields in nonaxisymmetrically loaded nonlinear-elastic shells of revolution. The original nonlinear system of equations is linearized in accordance with the method of variation of elastic parameters. The two-dimensional linear boundary-value problem is reduced to a sequence of one-dimensional problems, which are solved using a numerical method. We carry out an analysis of the stress-strain state of a conical shell made of a composite material of granular structure.
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Literature Cited
Ya. M. Grigorenko and A. T. Vasilenko,Methods of Computing Shells [in Russian], 5 Vols., Vol. 4: Theory of Shells of Variable Stiffness, Naukova Dumka, Kiev (1981).
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A. V. Lesechko. “The stress-strain state of shells of revolution made of composite materials taking account of phase transitions and the nonlinearity of the deformation,”Prikl. Mekh.,26, No. 4, 62–66 (1990).
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Translated fromMatematicheskie Metody i Fiziko-Mekhanicheskie Polya, No. 37, 1994, pp. 80–83.
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Vasilenko, A.T., Lesechko, A.V. Nonlinear nonaxisymmetric deformation of composite shells of revolution. J Math Sci 79, 1458–1461 (1996). https://doi.org/10.1007/BF02362805
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DOI: https://doi.org/10.1007/BF02362805