A 2D exact model by stretching-through-the-thickness a kinematic variable for the 3D exact analysis of laminated composite structures: Theory and applications

IF 3.9 2区 工程技术 Q1 ENGINEERING, CIVIL
Arno Roland Ndengna Ngatcha , Joel Renaud Ngouanom Gnidakouong , Lionel Merveil Anague Tabejieu , Achille Germain Feumo
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引用次数: 0

Abstract

The development of a rigorous exact model is of paramount importance for the enhancement of the design quality of laminated plate and shell structures for a multitude of applications. The objective of various laminated shell models developed over the past decades in the literature is to predict the three-dimensional (3D) behavior of a laminated composite shell (LCS) by the surface parameters. In this context, the original two-dimensional kinematic equations, which incorporate a variable representing stretching through the thickness, provide a novel 3D laminated constitutive equation (LCE). This novel LCE incorporates additional mechanical coupling matrices, in addition to the classical ones that are familiar to the reader. In this context, the mechanical and physical existence of the aforementioned stretching-through-the-thickness variable has been demonstrated with rigorous proof. Classical works do not present any proof of the existence of this variable. The developed LCE are combined to the Hamilton’s principle and Navier’s method to provide a new exact laminated shell model for transient analysis of composite shells. The proposed best first order exact model extends existing classical and even more recent laminated exact models developed in the literature that are based on Reissner–Mindlin theory, Kirchhoff–Love theory, high-order shear deformation theory, refined theories, Zigzag theory, Carrera’s unified formulation and many other empirical or semi-empirical theories. The best first order LCE was found to fit the experimental and theoretical outcomes documented in the literature, thereby substantiating the validity of model. The proposed exact model converges to the Classical laminated shell theory when the thickness ratio χ<0.1. It is observed that the transverse and normal stress/strains are less important for thin laminated shells than for thick laminated shells. The effect of two additional mechanical couplings becomes significant when the laminated shell becomes moderately thick 0.1<χ<0.15. When a thick shell 0.15<χ<0.7 is subjected to torsional loading, the transverse and normal strains/stresses become significant. For high order tests (N=2,N=3), the warping section is clearly visible.
通过拉伸厚度运动变量建立二维精确模型,用于层状复合结构的三维精确分析:理论与应用
开发严格精确的模型对于提高层压板壳结构的设计质量至关重要,可应用于多种领域。过去几十年来,文献中开发的各种层叠壳体模型旨在通过表面参数预测层叠复合材料壳体(LCS)的三维(3D)行为。在这种情况下,原始的二维运动学方程包含了一个代表厚度拉伸的变量,提供了一个新颖的三维层状结构方程(LCE)。除了读者熟悉的经典矩阵外,这种新型 LCE 还包含了额外的机械耦合矩阵。在这种情况下,上述厚度拉伸变量的机械和物理存在已得到严格证明。而经典著作并未证明这一变量的存在。开发的 LCE 与汉密尔顿原理和纳维尔方法相结合,为复合材料壳的瞬态分析提供了一个新的精确层叠壳模型。所提出的最佳一阶精确模型扩展了文献中现有的经典甚至最新的层状精确模型,这些模型是基于 Reissner-Mindlin 理论、Kirchhoff-Love 理论、高阶剪切变形理论、精炼理论、Zigzag 理论、Carrera 统一公式以及许多其他经验或半经验理论。研究发现,最佳的一阶 LCE 与文献中记载的实验和理论结果相吻合,从而证实了模型的有效性。当厚度比 χ<0.1 时,所提出的精确模型收敛于经典层叠壳理论。据观察,薄层壳的横向和法向应力/应变的重要性低于厚层壳。当层叠壳变得中等厚度 0.1<χ<0.15 时,两个额外机械耦合的影响变得显著。当厚度为 0.15<χ<0.7 的壳体承受扭转载荷时,横向和法向应变/应力变得显著。在高阶试验(N=2,N=3)中,翘曲部分清晰可见。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Structures
Structures Engineering-Architecture
CiteScore
5.70
自引率
17.10%
发文量
1187
期刊介绍: Structures aims to publish internationally-leading research across the full breadth of structural engineering. Papers for Structures are particularly welcome in which high-quality research will benefit from wide readership of academics and practitioners such that not only high citation rates but also tangible industrial-related pathways to impact are achieved.
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