Mechanical properties of graphene nanocomposites: A multiscale finite element prediction

Spanos, K.N.; Georgantzinos, Stelios K.; Anifantis, N.K.

doi:10.1016/j.compstruct.2015.05.078

Cited by 87 publications

(45 citation statements)

References 37 publications

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“…At first, it could be noted that the elastic modulus increases linearly with GnP loading. This linear trend was also observed in other numerical work [17]. Setting the interphase stiffness constant, the effect of interphase thickness is revealed in figure 12.…”

Section: Modelling Resultssupporting

confidence: 84%

“…Although Yi Hua et al [16] did not consider graphene/polymer nanocomposites, their work on the simulation of the mechanical response of silica/epoxy nanocomposite gave insight into the effect of the interphase developed between the epoxy and a nanoparticle. Finally, Spanos et al [17] described a micromechanical finite element approach for the estimation of the elastic mechanical properties of graphene-reinforced composites. Modelling of the reinforcement was based on its atomistic microstructure by describing graphene as a space frame in which the carbon (C) atoms are represented by nodes, while the matrix was approached as a continuum.…”

Section: Introductionmentioning

confidence: 99%

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Tensile and flexural behaviour of a graphene/epoxy composite: experiments and simulation

2019

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The tensile and flexural behaviour of a graphene nanoplatelet (GnP) reinforced polymer, Grade M25 GnP / Araldite LY564 is experimentally investigated. This is followed by a multi-scale finite element model to simulate the tensile response as the most critical loading case. The approach is based on the multi-scale method and consists of a unit cell and a representative volume element (RVE). At the unit cell level, the material nanocharacteristics (filler geometry, phase mechanical properties, interfacial properties) are used to calculate the local tensile response. The material architecture is simulated at the RVE level by distributing the locally obtained unit cell mechanical properties, using periodic boundary conditions. A statistical sample was studied and the average mechanical characteristics were compared to the macroscopic measured stress-strain data. Finally, the simulation methodology was validated by comparisons between the effective experimental and numerical results.

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Section: Modelling Resultssupporting

confidence: 84%

Section: Introductionmentioning

confidence: 99%

Tensile and flexural behaviour of a graphene/epoxy composite: experiments and simulation

2019

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“…H i are needed in the computation of the 2.PK stress and its corresponding elasticity tensor, see Eqs. (25) and (26). They are defined as…”

Section: (C3)mentioning

confidence: 99%

A new efficient hyperelastic finite element model for graphene and its application to carbon nanotubes and nanocones

Ghaffari

Sauer

2018

Finite Elements in Analysis and Design

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A new hyperelastic material model is proposed for graphene-based structures, such as graphene, carbon nanotubes (CNTs) and carbon nanocones (CNC). The proposed model is based on a set of invariants obtained from the right surface Cauchy-Green strain tensor and a structural tensor. The model is fully nonlinear and can simulate buckling and postbuckling behavior. It is calibrated from existing quantum data. It is implemented within a rotation-free isogeometric shell formulation. The speedup of the model is 1.5 relative to the finite element model of Ghaffari et al. [1], which is based on the logarithmic strain formulation of Kumar and Parks [2]. The material behavior is verified by testing uniaxial tension and pure shear. The performance of the material model is illustrated by several numerical examples. The examples include bending, twisting, and wall contact of CNTs and CNCs. The wall contact is modeled with a coarse grained contact model based on the Lennard-Jones potential. The buckling and post-buckling behavior is captured in the examples. The results are compared with reference results from the literature and there is good agreement.properties of single-walled CNCs. A second approach is based on the quasi-continuum method [35]. Yan et al. [36] apply the quasi-continuum to simulate buckling and post-buckling of CNCs. A temperature-related quasi-continuum model is proposed by Wang et al.[37] to model the behavior of CNCs under axial compression. A third approach is based on classical continuum material models. Those are popular for graphene in the context of isotropic linear material models. Firouz-Abadi et al. [38] obtain the natural frequencies of nanocones by using a nonlocal continuum theory and linear elasticity assumptions. Their work is extended to the stability analysis under external pressure and axial loads by Firouz-Abadi et al. [39] and the stability analysis of CNCs conveying fluid by Gandomani et al. [40]. Lee and Lee [29] use the finite element (FE) method to obtain the natural frequencies of CNTs and CNCs. The interaction of carbon atoms is modeled as continuum frame elements. Graphene has an anisotropic behavior under large strains. There are several continuum material models for anisotropic behavior of graphene. Sfyris et al. [41] and Sfyris et al. [42] use Taylor expansion and a set of invariants to propose strain energy functionals for graphene based on its lattice structure. Delfani et al. [43] and Delfani and Shodja [44, 45] use a similar Taylor expansion for the strain energy and apply symmetry operators to the elasticity tensors in order to reduce the number of independent variables. Nonlinear membrane material models are proposed by Xu et al. [46] and Kumar and Parks [2]. They use ab-initio results to calibrate their models. The model of Kumar and Parks [2] is based on the logarithmic strain and the symmetry group of the graphene lattice [47, 48, 49]. This symmetry group reduces the number of parameters in the model of Xu et al. [46] by a half. The membrane model of Kumar and Parks [2...

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“…Ji et al [12] have been studied the graphene reinforced composites and have been used the Mori-Tanaka model to calculate the effective elastic properties. FEM (finite element method) as a multiscale method have been used by Spanos et al [28] to achieve atomistic molecular structural mechanics of composites reinforced with graphene. Ji et al [12] studied the stiffening effect of graphene sheets on polymer nanocomposites and they found that embedding even a low amount of sheets of graphene can extremely increase the effective stiffness of the epoxy matrix.…”

Section: Introductionmentioning

confidence: 99%

An investigation of the vibration of multi-layer composite beams reinforced by graphene platelets resting on two parameter viscoelastic foundation

2019

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The current study goal is to analyze free vibration behavior of multi-layer composite beams reinforced by graphene platelets resting on viscoelastic foundation. These material properties varies layer to layer in the thickness direction. GPLs are spreaded in each layer randomly and four different distribution patterns are employed and all parameter effects on these four are investigated. Effective material properties are estimated by Halpin-Tsai model and higher order shear deformation beam theory is utilized to achieve the theoretical formulation of multi-layer GPLRC beam and Navier solution have been used to derive and follow up the governing differential equation of motion and natural frequency. To find out the effect of GPLs on composite structures and effect of different distribution pattern of GPLs on frequency of the beam structure and the other parameters, all sections of this study and results are presented based on four GPLs distribution patterns.

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Mechanical properties of graphene nanocomposites: A multiscale finite element prediction

Cited by 87 publications

References 37 publications

Tensile and flexural behaviour of a graphene/epoxy composite: experiments and simulation

Tensile and flexural behaviour of a graphene/epoxy composite: experiments and simulation

A new efficient hyperelastic finite element model for graphene and its application to carbon nanotubes and nanocones

An investigation of the vibration of multi-layer composite beams reinforced by graphene platelets resting on two parameter viscoelastic foundation

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