Static and free vibration analyses of carbon nanotube-reinforced composite plates using finite element method with first order shear deformation plate theory

Zhu, Ping; Lei, Zhiwei; Liew, K.M.

doi:10.1016/j.compstruct.2011.11.010

Cited by 635 publications

(247 citation statements)

References 37 publications

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“…[31] is based on the first order shear deformation theory and the load is uniformly distributed so, regardless of the amount of length-to-thickness ratio and volume fraction of CNT constituent, dimensionless transverse displacement of the present formulation is smaller than that of Ref. [31]. As the side-thickness ratio increases the variation of non-dimensional zed central deflection is in good agreement with the published ones (Ref.…”

Section: Analytical Solutionssupporting

confidence: 81%

“…As the side-thickness ratio increases the variation of non-dimensional zed central deflection is in good agreement with the published ones (Ref. [31]). And also increase of volume fraction has great influence in the reduction of non-dimensional zed central deflection and this variation also in good agreement with the published ones.…”

Section: Analytical Solutionssupporting

confidence: 81%

“…Since the governing equation in Ref. [31] is based on the first order shear deformation theory and the load is uniformly distributed so, regardless of the amount of length-to-thickness ratio and volume fraction of CNT constituent, dimensionless transverse displacement of the present formulation is smaller than that of Ref. [31].…”

Section: Analytical Solutionsmentioning

confidence: 88%

“…Applying a higher order shear deformation plate theory with a von Kármán-type of kinematic nonlinearity and include thermal effects shows that the loadbending moment curves of the plate can be notably increased as a result of gradation in reinforcement. Based on the FSDT, Zhu et al [31] carried out bending and free vibration analyses of thin-to-moderately thick composite plates reinforced by single-walled carbon nanotubes. Numerical results are found with the aid of finite element code.…”

Section: Introductionmentioning

confidence: 99%

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Static Bending Behavior of FG-CNT Reinforced Composite Plates Using Higher Order Shear Deformation Theory

Akurathi¹

2017

IJRASET

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The analytical formulations and solutions for the bending behavior of simply supported functionally graded carbon nanotube reinforced composite plates (FG-CNT Plates) are presented in this paper. Higher Order Shear Deformation Theory (HSDT) without enforcing zero transverse shear stresses on the top and bottom surfaces of the plate is used for the analysis. Two types of carbon nanotube (CNT) distributions are analyzed in this investigation. It is assumed that through the thickness, the material properties of the plate are varied. The governing equations of motion and boundary conditions are derived based on the principle of virtual work. Solutions are obtained for FG-CNT Plates in closed-form using Navier's technique. The deflections and stresses are shown for simply supported boundary conditions. The effect of side-to-thickness ratio, aspect ratio, the volume fraction, and through-the-thickness on the deflections and stresses are studied in this paper. The obtained results are compared with the available FSDT solutions in the literature for deflections. This research also shows that the volume fraction of CNT has little effect on stresses. A computer program in C is developed for determining deflections and stresses. Keywords: Static Bending Behavior, FG-CNT Plates, Effective Material Properties, HSDT, Navier's Method. I. INTRODUCTIONIn 1987, Niino and co-workers proposed initially the concept of functionally graded materials(FGMs) [1]. Functionally graded materials available in nature as bones, teeth etc. [2], that are designed by nature to meet their expected service requirements. This concept is reproduced from nature to solve an engineering problem. Functionally graded materials (FGMs) are gaining interest from researchers during recent years since these are advanced materials which show improvement in properties like thermal, mechanical, light-weight, dimensional stability, barrier properties, flame retardancy, heat resistance and electrical conductivity [3][4]. Initially, FGMs were utilized as thermal barrier materials for aerospace structural applications and fusion reactors [5]. FGMs also found significance in structural components functioning under very high-temperature environments [6]. As the content of reinforcement in FGMs varies gradually in some direction leads to gradation in properties through the thickness of plate thus eliminates interface problems and reduces stress concentrations [7]. The carbon nanotubes have great stiffness and axial strength due to carbon-carbon Sp2 bonding. They are the excellent stiff materials [8] with Young's modulus of 1.4 TPa and tensile strength well above 100 GPa. The CNT reinforced functionally graded composite materials(FGCM) having a wide variety of applications in different technological areas such as aerospace, defence, energy, automobile, medicine, structural and chemical industry [9]. Researchers have been proposed a variety of plate theories to interpret the behavior of plates earlier. It is helpful to discuss some developments in plate theory a...

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Section: Analytical Solutionssupporting

confidence: 81%

Section: Analytical Solutionssupporting

confidence: 81%

Section: Analytical Solutionsmentioning

confidence: 88%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Static Bending Behavior of FG-CNT Reinforced Composite Plates Using Higher Order Shear Deformation Theory

Akurathi¹

2017

IJRASET

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“…The glass fibre reinforced polymer (GFRP) composite layers are simulated using the materials constants given in table 1, where E is the young modulus, G is the shear modulus, v is the poison's ratio and ρ is the density of the material [11]. For the nanomodified composites, as the nylon nanofibers are interleaved at the ply interfaces are embedded into epoxy resin, the material constants are calculated according to the rule of mixture as indicated in reference [12]. The material parameters for the interfaces composed of nylon nanofibers and epoxy resin are also given in Table 2 and 3 shows the first five experimentally measured and numerically calculated natural frequencies for the virgin and the nano-modified composite specimens.…”

Section: Numerical Modellingmentioning

confidence: 99%

The effect of nylon nanofibers on the dynamic behaviour and the delamination resistance of GFRP composites

Garcia¹,

Trendafilova²,

Zucchelli

et al. 2018

MATEC Web Conf.

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Abstract. Vibrations are responsible for a considerable number of accidents in aircrafts, bridges and other civil engineering structures. Therefore, there is a need to reduce the vibrations on structures made of composite materials. Delamination is a particularly dangerous failure mode for composite materials because delaminated composites can lose up to 60% of their strength and stiffness and still remain unchanged. One of the methods to suppress vibrations and preventing delamination is to incorporate nanofibers into the composite laminates. The aim of the present work is to investigate how nylon nanofibers affect the dynamic behaviour and delamination resistance of glass fibre reinforced polymer (GFRP) composites. Experiments and numerical simulations using finite element modelling (FEM) analysis are used to estimate the natural frequencies, the damping ratio and inter-laminar strength in GFRP composites with and without nylon nanofibers. It is found that the natural frequencies of the nylon nano-modified composites do not change significantly as compared to the traditional composites. However, nano-modified composites demonstrated a considerable increase in damping ratio and inter-laminar shear strength due to the incorporation of nylon nanofibers. This work contributes to the knowledge about the mechanical and dynamic properties of glass fibre reinforced polymer (GFRP) composites with nylon nanofibers.

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Elastic bending and stress analysis of carbon nanotube‐reinforced composite plate: Experimental, numerical, and simulation

Mehar

Panda

2017

Adv Polym Technol

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The deflection behavior of carbon nanotube-reinforced composite plate is investigated numerically using the finite-element method and the result accuracy is established via three-point experimental bending test data. The physical composite panel model is realized with the help of new mathematical model based on the higher order kinematic theory and the responses are computed using the in-house computer code in the MATLAB environment. Further, the efficacy of the current higher order finite-element model has been established by comparing the deflection responses with those of the references, simulation values (ANSYS), and the in-house experimentation including the experimental elastic properties. Finally, the effect of different design parameters,such as aspect ratio, thickness ratio, edge constraints including the types of load on the deflection and stress responses of the composite plate has been studied in detail. K E Y W O R D Scarbon nanotube, elastic bending, experimental mechanics, finite element method, higher order shear deformation theory, simulation

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Static and free vibration analyses of carbon nanotube-reinforced composite plates using finite element method with first order shear deformation plate theory

Cited by 635 publications

References 37 publications

Static Bending Behavior of FG-CNT Reinforced Composite Plates Using Higher Order Shear Deformation Theory

Static Bending Behavior of FG-CNT Reinforced Composite Plates Using Higher Order Shear Deformation Theory

The effect of nylon nanofibers on the dynamic behaviour and the delamination resistance of GFRP composites

Elastic bending and stress analysis of carbon nanotube‐reinforced composite plate: Experimental, numerical, and simulation

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