The system of partial inhomogeneous differential equations of elasticity of a three-dimensional anisotropic body in a cylindrical coordinate system is obtained using the modified Hu–Washizu variational principle. To reduce it to a one-dimensional one, the Bubnov–Galerkin method is employed. The discrete orthogonalization method is applied to solve the one-dimensional problem along the normal to the shell mid-surface. The stress state of an anisotropic thick-walled composite layered cylindrical shell acted upon by lateral pressure is analyzed. The dependence of the stress state on the angle of rotation of the principal axes of elasticity of a unidirectional fibrous material and the number of cross-stacked layers is analyzed.
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Translated from Prykladna Mekhanika, Vol. 59, No. 1, pp. 91–102, January–February 2023.
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Semenyuk, M.P., Trach, V.M. & Podvornyi, A.V. Stress–Strain State of a Thick-Walled Anisotropic Cylindrical Shell. Int Appl Mech 59, 79–89 (2023). https://doi.org/10.1007/s10778-023-01201-5
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DOI: https://doi.org/10.1007/s10778-023-01201-5