A 2D exact model by stretching-through-the-thickness a kinematic variable for the 3D exact analysis of laminated composite structures: Theory and applications
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 . 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 . When a thick shell is subjected to torsional loading, the transverse and normal strains/stresses become significant. For high order tests (), the warping section is clearly visible.
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.