Modeling the tensile stress–strain response of carbon nanotube/polypropylene nanocomposites using nonlinear representative volume element

Mohammadpour, Ehsan; Awang, Mokhtar; Kakooei, Saeid; Akil, Hazizan Md

doi:10.1016/j.matdes.2014.01.007

Cited by 57 publications

(20 citation statements)

References 37 publications

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“…One of major applications of CNTs is to design nanosensors owing to their exceptional mechanical properties which leads to a reachable ultrahigh frequency range up to the terahertz order and a possible ultrahigh sensitivity. In order to analyze the mechanical behavior of CNT reinforced composites and simulate their effective material properties, various experiments and theoretical techniques have been presented namely, molecular dynamics (MD) simulation [28,29], representative volume element (RVE) [30], rule of mixture [31][32][33], and experimentations [34][35][36]. In recent decade, many demands have been raised for production of multilayer MEMS and NEMS with variable properties which are used in thermal environment [37].…”

Section: Carbon Nanotubes Reinforced Compositesmentioning

confidence: 99%

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Bending, buckling and free vibration of nonlocal FG-carbon nanotube-reinforced composite nanobeams: exact solutions

2019

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This paper investigates the bending, buckling and free vibration behaviors of functionally graded carbon nanotubereinforced composite (FG-CNTRC) nanobeams by considering small-scale effect. The governing equations of motion of a Timoshenko beam under a general loading are derived utilizing the nonlocal elasticity theory. The equations governing bending and stretching behavior of CNTRC nanobeams are uncoupled to a fifth-order ordinary differential equation with respect to the rotation of cross-section for the static cases of bending and buckling. This uncoupling makes it possible to develop exact solutions for transverse deflection and buckling load of CNTRC nanobeams. Using differential operator method, the decoupled sixth-order differential equations in terms of the kinematic variables are obtained for vibration analysis. By setting the coefficients matrix in the corresponding system of homogenous algebraic equations to zero, an algebraic frequency equation is derived. Finally, based on the presented closed-form solutions, parametric studies are carried out to assess the effects of CNT distribution, nonlocal parameter and type of boundary conditions on the deflection, buckling and natural frequency of CNTRC nanobeams. Findings show that nonlocal effect on the mechanical behavior of nanobeams is strongly dependent on boundary conditions and loadings. It is seen that cantilever nanobeams become harder by taking into account nonlocal effect, contrary to clamped and simply supported nanobeams. In addition, the influence of CNT distribution on the mechanical behavior of cantilever beams is more significant than that of simply supported and clamped beams.

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Section: Carbon Nanotubes Reinforced Compositesmentioning

confidence: 99%

“…For the case of only uniform transverse loading (P = 0 and q = q 0 ) , the results predicted by classical and nonlocal theories are exactly same with each other, due to the terms including nonlocal parameter ( ) in the governing equations [please see Eqs. (28)-(30)] are vanished and such terms do not exist in clamped-clamped boundary conditions given in (34a).…”

mentioning

confidence: 99%

Bending, buckling and free vibration of nonlocal FG-carbon nanotube-reinforced composite nanobeams: exact solutions

2019

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“…The evaluation of effective material properties of the carbon nanotube reinforced composites (CNTRCs) have also specific importance in the field of synthesis and characterization. It has attracted the attention of various researcher to work out the properties using different computational methods in the past, such as molecular model , representative volume element technique , Mori–Tanaka method , and rule of mixture . Further, the structural responses of CNT and/or CNT‐reinforced FG structure are also computed using various available established theories.…”

Section: Introductionmentioning

confidence: 99%

Thermal free vibration behavior of FG‐CNT reinforced sandwich curved panel using finite element method

Mehar

Panda

2017

Polymer Composites

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In this article, the vibration characteristics of carbon nanotube reinforced sandwich curved shell panel are investigated under the elevated thermal environment. The sandwich panel component (face and core layer) properties are assumed to be temperature-dependent including various distribution of the carbon nanotube for the face sheets of the sandwich structure. The sandwich structural behavior has been modeled mathematically using the higher-order shear deformation theory. The governing differential equation of motion of the free vibrated sandwich panel is obtained using the classical Hamilton's principle and transformed to the set of algebraic form with the help of suitable finite element steps. Further, fundamental frequencies of the curved sandwich shell panel are obtained numerically by means of a generalized computer code developed in MATLAB with the help of the present higher-order mathematical model. The accuracy and the stability of the present numerical results have been checked through the proper convergence test. The model is again extended to work out the frequency responses for few more cases and compared with those available published results including the simulation responses (ANSYS). Finally, a wide variety of numerical examples have been solved for various design parameters (volume fraction of CNT, core to face thickness ratios, length to thickness ratios, aspect ratios, support conditions, curvature ratios, and types of grading) of CNT sandwich curved panel and underlined their effects in details under the uniform thermal load. POLYM. COM-POS., 00:000-000,

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“…These materials found several applications like automotive , aerospace , food packing , construction , and electrical applications . Although synthetic fillers, such as carbon or glass fibers , have been extensively used to reinforce polymers in terms of modulus and strength , they usually have high costs, high density, as well as health and safety issues . In contrast, natural fillers are renewable with lower density and lower cost.…”

Section: Introductionmentioning

confidence: 99%

Morphological, thermal, mechanical, and rheological properties of high density polyethylene reinforced with Illite clay

et al. 2016

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In this work, Illite (natural Moroccan clay) was selected to reinforce high density polyethylene (HDPE) and to determine the efficiency of styrene-(ethylene-butene)styrene triblock copolymer grafted with maleic anhydride (SEBS-g-MA) as a coupling agent. The composites were prepared by extrusion followed by injection molding of various clay contents (5-40 wt%). From the samples produced, the morphological, thermal, mechanical, and rheological properties were measured. The results showed that interfacial adhesion was improved with coupling agent addition leading to increased Young's modulus, as well as higher tensile strength, and strain at yield. Nevertheless, the maximum value for the composites without SEBS-g-MA (57% modulus increase) was obtained at 20 wt% compared to 15 wt% for the composites with SEBS-g-MA (45% modulus increase). The thermal stability of the composites also increased with clay content, especially when the coupling agent was added. Finally, water absorption tests revealed that the composites have a higher tendency to absorb water with increasing clay content, but the use of a coupling agent substantially reduced this problem. POLYM. COMPOS., 39:1522-1533

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Modeling the tensile stress–strain response of carbon nanotube/polypropylene nanocomposites using nonlinear representative volume element

Cited by 57 publications

References 37 publications

Bending, buckling and free vibration of nonlocal FG-carbon nanotube-reinforced composite nanobeams: exact solutions

Bending, buckling and free vibration of nonlocal FG-carbon nanotube-reinforced composite nanobeams: exact solutions

Thermal free vibration behavior of FG‐CNT reinforced sandwich curved panel using finite element method

Morphological, thermal, mechanical, and rheological properties of high density polyethylene reinforced with Illite clay

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