Stress-strain state of thick-walled anisotropic cylindrical shells under thermal power load, protected by the functionally graded material
DOI:
https://doi.org/10.32347/2410-2547.2020.105.165-178Keywords:
thick-walled anisotropic cylindrical shell, stress-strain state, three-dimensional formulation, functionally graded materialAbstract
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.
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Copyright (c) 2020 Mykola Semenyuk, Volodymyr Trach, Andrii Podvornyi
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