Free vibration analysis of hybrid laminated plates containing multilayer functionally graded carbon nanotube-reinforced
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O R I G I NA L
Yasser Chiker · Mourad Bachene · Slim Bouaziz · Mouloud Guemana · Mounir Ben Amar · Mohamed Haddar
Free vibration analysis of hybrid laminated plates containing multilayer functionally graded carbon nanotube-reinforced composite plies using a layer-wise formulation Received: 13 February 2020 / Accepted: 11 September 2020 © Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract This paper studies the free vibration behavior of hybrid laminated plates using a layer-wise formulation. The laminated structures are made of graphite fiber-reinforced composite (GFRC) and multilayer functionally graded carbon nanotube-reinforced composite (FG-CNTRC) plies. The internal single-walled carbon nanotubes (SWCNTs) are distributed in layer-wise form along the ply thickness direction either uniformly or functionally graded according to four separate patterns. Both the linear and nonlinear of the CNTs distributions form are considered. Theatrical formulations are based on the first-order shear deformation theory (FSDT), and finite element method is employed to obtain the nondimensional natural frequency. The elastic modulus of both GFRC and CNTRC plies composed the hybrid laminated plate is obtained by a micromechanics model. Initially, the provided results are validated by comparing it with the literature; thereafter, a parametric study is carried out the influences of laminates configuration, number of CNTRC plies layers, CNT volume fraction, CNT distribution patterns, linear and nonlinear distribution of CNTs, plate width-to-thickness ratio, plate aspect ratio, boundary conditions, stacking sequences, and number of plies on the free vibration behavior of hybrid laminated plates. Some final remarks considering the laminated plate configuration and the distribution form of the CNT fillers are presented in order to provide a useful observation on the design criteria of the laminated composite plate structures. Keywords Free vibration · Hybrid laminated plate · Functionally graded · Graphite · Carbon nanotube · First-order shear deformation theory
1 Introduction Due to their extremely attractive thermal, mechanical, and electrical properties, carbon nanotubes (CNTs) have been progressively introduced as an excellent reinforcement for composite materials instead of ordinary fibers [1–5]. The combination of a polymer matrix and CNTs or in other words carbon nanotube-reinforced Y. Chiker (B) · M. Bachene Laboratory of Mechanics, Physics, Mathematical Modeling (LMP2M), University of Medea, Medea, Algeria E-mail: [email protected] S. Bouaziz · M. Haddar Mechanics, Modelling and Production Laboratory (LA2MP), National engineering School of Sfax, University of Sfax, Sfax, Tunisia M. Guemana Laboratory of Applied Automation and Industrial Diagnostic (LAADI), University of Djelfa, Djelfa, Algeria M. B. Amar Laboratoire des Sciences des Procédés et des Matériaux, CNRS, Université Paris 13, Villetaneuse, France
Y. Chiker et al.
composite (CNTRC), leads the nanocomposites structures to have high stiff
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