STRESS-STRAIN STATE OF THICK ANISOTROPIC COMPOSITE CYLINDRICAL SHELLS PROTECTED BY FUNCTIONALLY-GRADED MATERIAL UNDER THERMAL ACTION

Abstract

The paper presents an approach to determining the stress-strain state of thick anisotropic composite cylindrical shells, protected by a functionally graded material, and located in the field of thermal-force action. Based on the relations of the spatial theory of elasticity, a system of inhomogeneous differential equations in a three-dimensional formulation is obtained, which describes the stress state of thick anisotropic cylinders. To reduce the dimension of this system, the Bubnov-Galerkin method was used. The resulting one-dimensional system of twelve normal Cauchy equations is realized using the numerical method of discrete orthogonalization. As a representation of the capabilities of the proposed approach, the stress-strain states of two-, four-, and five-layer anisotropic cylindrical shells formed from fiber composites protected from temperature by a layer of transversely isotropic functional-gradient material are given.