Stress-strain state of thick-walled anisotropic cylindrical shells under thermal power load, protected by the functionally graded material




thick-walled anisotropic cylindrical shell, stress-strain state, three-dimensional formulation, functionally graded material


In the article the stress-strain state of thick-walled structurally anisotropic composite cylindrical shells under thermal power load, which are protected by a functionally graded material, are analysed. Based on the interrelations of the spatial theory of elasticity, a system of inhomogeneous differential equations in three-dimensional formulation, which describes the stress-strain state of thick-walled anisotropic cylindrical shells, was obtained. To reduce the dimensionality of this system, the Bubnov-Galerkin analytical method was used. Thus, the obtained one-dimensional system of twelve equations of normal Cauchy form was implemented using the numerical method of discrete orthogonalization. To represent the possibilities of the proposed approach, there were used stress-strain states of two, four and five-layered anisotropic cylindrical shells of fibrous composites, protected from temperature by a layer of transversely isotropic functionally graded material.

Author Biographies

Mykola Semenyuk, Institute of Mechanics of the National Academy of Sciences of Ukraine

Doctor of Technical Science, Professor, Leading Researcher

Volodymyr Trach, National University of Water and Environmental Engineering

Doctor of Technical Sciences, Professor, Head of the Department of Bridges and Tunnels, Strength of Materials and Structural Mechanics

Andrii Podvornyi, National University of Water and Environmental Engineering

Candidate of Technical Sciences, Associate Professor of the Department of Bridges and Tunnels, Strength of Materials and Structural Mechanics


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