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首页> 外文期刊>Applied Mathematical Modelling >Analytical model for stress and deformation of multiple-winding-angle filament-wound composite pipes/vessels under multiple combined loads
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Analytical model for stress and deformation of multiple-winding-angle filament-wound composite pipes/vessels under multiple combined loads

机译：多组合负载下多绕组角丝缠绕复合管/血管应力和变形的分析模型

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摘要

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 σ_1, transverse stresses σ_2, σ_3 and shear stresses τ_(12) are obtained, respectively. Moreover, the effect of shear extension coupling is taken into consideration because it is impossible for the ± 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.
机译：在压力，扭转和轴向载荷（多个组合负载）下提出了一种多角度丝伤（FW）模型，其可以计算任意多层的应力和位移，并使FW壁厚度带来更均匀的强度。基于正交构成关系和轴对称厚壁圆柱理论，提出了一种用于变形的三维（3D）分析解决方案和多角度FW管/血管的应力。首先，获得圆柱形坐标中的纤维层的应力。然后，获得每个正交绕组层的变形和应力，包括纵向应力σ_1，横向应力σ_2，σ_3和剪切应力τ_（12）。此外，考虑了剪切延伸耦合的效果，因为±

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