4.7 Article

Analytical model for stress and deformation of multiple-winding-angle filament-wound composite pipes/vessels under multiple combined loads

Journal

APPLIED MATHEMATICAL MODELLING
Volume 94, Issue -, Pages 576-596

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2021.01.034

Keywords

Stress; Elasticity solution method; Filament wound pipes/vessels; Multiple combined loads; Finite element method

Funding

  1. National Natural Science Foundation of China [51575390]
  2. Natural Science Key Foundation of Tianjin, China [18JCZDJC39000]

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A new multi-angle filament wound model is proposed for calculating stresses and displacements under multiple combined loads, providing a theoretical foundation for damage analysis and optimization of filament wound structures through analytical solutions and numerical verification.
An multi-angle filament wound(FW) model is proposed under pressure, torsion and axial loads (multiple combined loads), which can calculate stresses and displacements of arbitrary multi-layers and bring more uniform strength though FW wall thickness. Based on orthotropic constitutive relation and axisymmetric thick-walled cylinder theory, a three-dimensional (3D) analytical solution for deformations and stresses of multi-angle FW pipes/vessels is presented. First, the stresses of fiber layer in cylindrical coordinate are obtained. Then, the deformations and stresses of each orthotropic winding layers, including longitudinal stresses sigma(1), transverse stresses sigma(2), sigma(3) and shear stresses tau(12) are obtained, respectively. Moreover, the effect of shear extension coupling is taken into consideration because it is impossible for the +/-phi winding angles to exist in the same radius. Subsequently, the proposed formulae are verified by numerical and experimental examples with finite element method (FEM). Results show that our new method calculates accurate stresses of FW pipes/vessels under multiple combined loads, which provides a theoretical foundation for damage analysis and optimization for FW structures. (C) 2021 Elsevier Inc. All rights reserved.

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