Analysis of the stress–strain state of laminated composite cylindrical shells subjected to hygrothermal load based on a refined theory

Аuthors

Tran N. D.

Le Quy Don Technical University, 236, Hoang Quoc Viet, Ha Noi, Viet Nam

e-mail: tranngocdoan@lqdtu.edu.vn

Abstract

Laminated composite cylindrical shells are widely used as primary load-bearing elements in various engineering fields, including aerospace, shipbuilding, and civil engineering. During operation, composite shells are often subjected to high pressures, temperatures, and moisture, leading to significant hygrothermal deformations and stresses due to the heterogeneity and anisotropy inherent in composite materials. Accurate determination of the mechanical and hygrothermal behavior of composite shells is a prerequisite for ensuring structural integrity and preventing failure modes such as delamination. In this paper the stress–strain state of a laminated composite cylindrical shell subjected to mechanical and hygrothermal loads is investigated. Within the framework of a refined theory, the variational principle of Lagrange is employed to derive the two-dimensional equilibrium equations and boundary conditions. The displacements and stress–strain components of the shell are approximated along the thickness coordinate using full third-order polynomials, which provides a more accurate account of transverse shear deformations. The temperature and moisture distributions through the shell thickness are assumed to be linear. Boundary value problems are solved analytically using the Laplace transform method. The equations of three-dimensional elasticity theory are used to refine the transverse stress components. A comparison of the results obtained in this study with those from other theoretical models, including three-dimensional elasticity theory, demonstrates the high accuracy and reliability of the proposed approach for the analysis of shells with various relative thicknesses. Based on numerical analysis, the influence of shell thickness and boundary conditions on the distribution of deflections and stresses in the central part of the shell and in the boundary zone is revealed.

Keywords:

laminated composite shell; cylindrical shell; stress–strain state; refined shell theory; hygrothermal load

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