Multiscale approach for three‐phase CNT/polymer/fiber laminated nanocomposite structures

Abstract

The free vibration analysis of laminated nanocomposite plates and shells using first‐order shear deformation theory and the generalized differential quadrature method is presented. Each layer of the laminate is modeled as a three‐phase composite. An example of such composite material is given by a polymeric matrix reinforced with carbon nanotubes (CNTs). CNTs enhance the mechanical properties of the polymer matrix and the nanocomposite is treated as an isotropic material; a micromechanics model is used to compute the engineering constants of the isotropic hybrid material. This approach based on the Eshelby–Mori–Tanaka scheme takes into account the agglomeration of the nanoparticles in the matrix. The second step consists in combining this enriched matrix with unidirectional and oriented reinforcing fibers to obtain a fibrous composite with improved mechanical features. The overall mechanical properties of each orthotropic ply are evaluated through different micromechanics approaches. Each technique is illustrated in detail and the transversely isotropic properties of the three‐phase layers are completely defined. The effects of both CNTs agglomeration and the mass fraction of these particles are investigated comparing with the results obtained by various homogenization techniques. POLYM. COMPOS., 40:E102–E126, 2019. © 2017 Society of Plastics Engineers

Free Vibration Analysis of Functionally Graded Porous Doubly-Curved Shells Based on the First-Order Shear Deformation Theory

“…To the best of the authors' knowledge, the rule of mixture represents a simple homogenization technique that allows us to evaluate in an efficient manner the elastic properties of a graded composite. Nevertheless, it can be recalled that more refined approaches are available in the literature, as highlighted in the paper by Tornabene et al [39]. For instance, the Mori-Tanaka scheme could be used as an alternative to the theory of mixture, as illustrated in [3], where the classic theory of mixtures is compared to the more refined scheme.…”

“…The First-order Shear Deformation Theory (FSDT), combined with the Hamilton's principle, is applied to obtain the governing equations of the problem [36][37][38][39], which is defined by means of five dynamic parameters. The accuracy of the proposed formulation is thus verified through a comparative evaluation between our results and some predictions available in the literature.…”

“…In other words, the authors do not aim to propose a new micromechanical scheme for porous and imperfect media, but their purpose is to apply an existing homogenization technique, the rule of mixture, to easily include and investigate the presence of porosities in a functionally graded material. The First-order Shear Deformation Theory (FSDT), combined with the Hamilton's principle, is applied to obtain the governing equations of the problem [36][37][38][39], which is defined by means of five dynamic parameters. The accuracy of the proposed formulation is thus verified through a comparative evaluation between our results and some predictions available in the literature.…”

Influence of Winkler-Pasternak Foundation on the Vibrational Behavior of Plates and Shells Reinforced by Agglomerated Carbon Nanotubes

“…The application of CNTs has mainly been as a reinforcement constituent of composite materials, which are, nowadays, widely used, especially in the aerospace field and in the automotive industry [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29]. This has led to the birth of a new class of composites called nanocomposites.…”

Effect of Sinusoidal Corrugated Geometries on the Vibrational Response of Viscoelastic Nanoplates

“…Malikan and Nguyen [10] also examined the electro-magnetic nanoplates in a hygrothermal environment, by using a new plate theory in conjunction with a non-local strain gradient model. In this context, many other analytical and numerical works have focused on the vibration and buckling response of nanocomposite materials and structures also in thermal conditions, see e.g., [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30], among others.…”