Effect of Temperature on Elastic Properties of Single-Walled Carbon Nanotubes

Chen, X.; Wang, X.; Liu, B.Y.

doi:10.1177/0731684407086624

Cited by 21 publications

(6 citation statements)

References 44 publications

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“…In Case #1, Poisson's ratio of SWCNT, PMMA polymer, and PMMA/SWCNT nanocomposite are calculated as 0.2400, 0.3100, and 0.3093, respectively, which are close to the corresponding experimental and simulation results of 0.25, 0.33, and 0.33 [67][68][69]. It is seen that with the decrease of temperature and pressure in the investigated cases, Poisson's ratio of SWCNT, PMMA polymer and PMMA/SWCNT nanocomposite show a monotonous decrease, which agrees with finite element simulation, MD simulation and rule of mixtures [61,68,70], where the values show a similar decreased trend with the decreased temperature. It is probably because that the transverse moduli of SWCNT, PMMA polymer, and PMMA/SWCNT nanocomposite increase with the decrease of temperature and pressure.…”

Section: Nano-mechanical Analysissupporting

confidence: 86%

Multiscale Simulation of Temperature- and Pressure-dependent Nonlinear Dynamics of PMMA/CNT Composite Plates

Wang

Shi

Liu

et al. 2021

Preprint

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Owing to the excellent mechanical properties, polymethyl methacrylate (PMMA)/carbon nanotube (CNT) composite has been increasingly adopted in the aerospace field, which is usually subjected to various temperature conditions and supersonic aerodynamic loads. Using a molecular dynamics (MD)-based multiscale simulation, the nonlinear forced vibration of PMMA/CNT composite plate is investigated under coupled temperature and aerodynamic loads conditions. The longitudinal, transverse, and shear moduli of PMMA/single-walled CNT (SWCNT) nanocomposite obtained from MD simulation at different temperature and pressure levels are substituted into the extended rule of mixtures to establish the constitutive equations of PMMA/CNT composite plate. Meanwhile, Poisson’s ratio and thermal expansion coefficient of nanocomposite are used in the constitutive equations. Based on the third-order shear deformation theory, von-Karman nonlinear strain-displacement relation, and Hamilton’s principle, the partial differential equation of composite plate is derived, which is reduced into a set of coupled ordinary differential equations by applying Galerkin method and is solved using the fourth-order Runge-Kutta method. The phase portraits and time histories of composite plate are obtained under the complex loads including transverse harmonic excitation and aerodynamic pressure, which are applied to analyze the dynamic characteristics of system. This study reveals the nonlinear dynamic characteristics of PMMA/CNT composite plate, which contributes to the prediction of long-term performance of composite materials in aerospace field.

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Section: Nano-mechanical Analysissupporting

confidence: 86%

Multiscale Simulation of Temperature- and Pressure-dependent Nonlinear Dynamics of PMMA/CNT Composite Plates

Wang

Shi

Liu

et al. 2021

Preprint

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“…The low sensitivity of the Poisson's ratio over the temperature is due to the weak dependency versus the temperature itself of the term C ρ r 2 IJ /C θ , which is contained both in the numerator and denominator of the Poisson's ratio expression [16]. Chen et al [13] observe also an increase of ν 21 with temperature (31 % of increase for zizgag tubes of 1.2 nm diameter between room temperature and T = 1200 K).…”

mentioning

confidence: 99%

“…This specific aspect of their multifunctional behaviour has generated a substantial amount of activity in the identification of the thermal properties of nanotubes, with particular emphasis on the thermal conductivity [3][4][5][6][7]. The dependence of the Young's modulus and tensile strength of single-walled carbon nanotubes (SWCNTs) has been investigated using various MD techniques [8][9][10][11] and hybrid atomistic-Finite Element techniques [12,13].…”

mentioning

confidence: 99%

Coupled thermomechanics of single-wall carbon nanotubes

Scarpa

Boldrin

Peng

et al. 2010

Applied Physics Letters

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The temperature-dependent transverse mechanical properties of single-walled nanotubes are studied using a molecular mechanics approach. The stretching and bond angle force constants describing the mechanical behaviour of the sp 2 bonds are resolved in the temperature range between 0 K and 1600 K, allowing to identify a temperature dependence of the nanotubes wall thickness. We observe a decrease of the stiffness properties (axial and shear Young's modulus) with increasing temperatures, and an augmentation of the transverse Poisson's ratio, with magnitudes depending on the chirality of the nanotube. Our closed-form predictions compare well with existing Molecular

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“…1421 nm is the carbon-carbon bond distance at room temperature, α is coefficient of thermal expansion of carbon-carbon bond (Chen et al, 2009) and ΔΤ is the 656 IJSI 11,5 temperature variation. In a previous work of Tsiamaki et al (2018), the specific methodology is thoroughly presented and has been validated concerning the thermodynamic response of rectangular graphene sheets.…”

Section: Computational Modeling Analysis 21 First-stage Analysismentioning

confidence: 99%

“…is an undetermined parameter and r T jk is the distance between j and k atoms estimated via the law of cosines. Due to the small effect of temperature on the torsional force constant (Chen et al, 2009;Zhu and Wang, 2007), it is considered that…”

Section: Computational Modeling Analysis 21 First-stage Analysismentioning

confidence: 99%

Simulation of the thermomechanical behavior of graphene/PMMA nanocomposites via continuum mechanics

Tsiamaki

Anifantis

2019

IJSI

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Purpose The purpose of this paper is to simulate and investigate the thermomechanical properties of graphene-reinforced nanocomposites. Design/methodology/approach The analysis proposed consists of two stages. In the first stage, the temperature-dependent mechanical properties of graphene are estimated while in the second stage, using the previously derived properties, the temperature-dependent properties of graphene-reinforced PMMA nanocomposites are investigated. In the first stage of the analysis, graphene is modeled discretely using molecular mechanics theory where the interatomic interactions are simulated by spring elements of temperature-dependent stiffness. The graphene sheets are composed of either one or more (up to five) monolayer graphene sheets connected via van der Waals interactions. However, in the second analysis stage, graphene is modeled equivalently as continuum medium and is positioned between two layers of PMMA. Also, the interphase between two materials is modeled as a medium with mechanical properties defined and bounded by the two materials. Findings The mechanical properties including Young’s modulus, shear modulus and Poisson’s ratio due to temperature changes are estimated. The numerical results show that the temperature rise and the multiplicity of graphene layers considered lead to a decrease of the mechanical properties. Originality/value The present analysis proposes an easy and accurate method for the estimation of the temperature-dependent mechanical properties of graphene-reinforced nanocomposites.

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Effect of Temperature on Elastic Properties of Single-Walled Carbon Nanotubes

Cited by 21 publications

References 44 publications

Multiscale Simulation of Temperature- and Pressure-dependent Nonlinear Dynamics of PMMA/CNT Composite Plates

Multiscale Simulation of Temperature- and Pressure-dependent Nonlinear Dynamics of PMMA/CNT Composite Plates

Coupled thermomechanics of single-wall carbon nanotubes

Simulation of the thermomechanical behavior of graphene/PMMA nanocomposites via continuum mechanics

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