Stochastic modelling of clay/epoxy nanocomposites

Silani, Mohammad; Talebi, Hossein; Ziaei-Rad, Saeed; Kerfriden, Pierre; Bordas, Stéphane Pierre Alain; Rabczuk, Timon

doi:10.1016/j.compstruct.2014.07.009

Cited by 63 publications

(39 citation statements)

References 37 publications

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“…The predicted numerical results are in good agreement with the experimental values with the maximum error less than 6%. This figure also includes the numerical results of Silani et al [25] for the same problem but neglecting the interphase layer (note that the clay content for these results is shifted a little for a better visibility purpose). The figure indicates that the Young's modulus of clay/epoxy nanocomposite rises gradually with increasing in the clay percentage both in the experimental and in the numerical results.…”

Section: Ensemble Averagingmentioning

confidence: 86%

“…Here the focus is only to study the effect of interphase layer on the Young's modulus of clay/epoxy nanocomposites and hence, we only considered the Young's modulus and thickness of the interphase layer as the stochastic inputs and set the other parameters to be deterministic inputs with their mean value (the clay aspect ratio is considered to be 300 [34,35] and the Young's modulus and Poisson's ratio of the epoxy and clays are considered as 1.96 GP a, ν = .25, 221.5 GP a and ν = .25 [36,34] respectively). To evaluate the effect of other inputs on the Young's modulus of clay/epoxy nanocomposites, refer to [24,25]. Based on MD simulations and analytical results available in the literature the thickness and the Young's modulus of the interphase layer vary from 0.5 nm to 2 nm [17,37] and 0.35 Gpa to 1.96 GP a [11], respectively.…”

Section: Design Of Experiments (Doe)mentioning

confidence: 99%

“…To simplify the numerical procedure, a 2% clay/epoxy nanocomposite was considered and an ensemble averaging test was conducted. The dimension of the RVE is considered as 1500 × 1500 nm 2 [25]. Fig.…”

Section: Ensemble Averagingmentioning

confidence: 99%

“…In similar approches, Vu-Bac et al [24] proposed a stochastic framework based on sensitivity analysis (SA) methods to quantify the key input parameters influencing the Young's modulus of polymer (epoxy) clay nanocomposites (PCNs). Silani et al [25] presented a numerical investigation of the mechanical properties of exfoliated clay/epoxy nanocomposites. However, all of these studies have neglected the effect of interphase region which plays a very important role on the mechanical properties.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Stochastic analysis of the interphase effects on the mechanical properties of clay/epoxy nanocomposites

Almasi

Silani

Talebi

et al. 2015

Composite Structures

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Section: Ensemble Averagingmentioning

confidence: 86%

Section: Design Of Experiments (Doe)mentioning

confidence: 99%

Section: Ensemble Averagingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Stochastic analysis of the interphase effects on the mechanical properties of clay/epoxy nanocomposites

Almasi

Silani

Talebi

et al. 2015

Composite Structures

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“…Despite its importance and several thousands of citation to the work by Kojima et al [10] who firstly introduced the concept of interphase in NYLON6-MMT system, the relationship between the interphase thickness and modulus is still not clear. Among the studies on mechanical behavior of these nanocomposites, limited number have directly attended to the effect of interphase on the PCN mechanical response [9][10][11][12][13][14]. This is not surprising since remarkable limitations have been associated with experimental measurements of the interphase modulus and thickness [9].…”

Section: Introductionmentioning

confidence: 99%

On variations of the interphase thickness and the slope of strengthening by clay addition in exfoliated polymer-clay nanocomposites

Hosseinabadi

Khederlou

Payandehpeyman

et al. 2016

Polymer

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This paper is an attempt to predict the thickness and modulus at the nanometric interphase region with the knowledge on the macroscopic Young's modulus in the polymer-clay nanocomposites. First, a systematic design of 20'160 linear elastic finite element simulations are used to derive an analytical equation between the interphase thickness, the interphase modulus, the nanoclay content and the macroscopic Young's modulus of the nanocomposite. Four calibration parameters in this equation are calculated based on the reported data about NYLON6-MMT nanocomposite. Next, an analytical nanoscale equation is developed to satisfy the necessary boundary conditions at the nanometric interphase. Finally, the interphase thickness and modulus are calculated by the intersection between the two equations. The validity of predictions are examined using two distant data sets in literature. The predicted interphase thicknesses are consistent with the experimental reports which situate around 2-8 nm in this nanocomposite. The presented approach can be used in design and prediction of mechanical properties in wide range of isotropic triple-phasic systems with structural features similar to polymer clay nanocomposites.

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A Stochastic Analysis of the Damping Property of Filled Elastomers

Kulkarni

Tabarraei

2018

Macro Theory & Simulations

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Finite elements modeling is used to investigate the damping property of Polymer composites consisting of a viscoelastic matrix and randomly dispersed elastic particles. The impact of vibration frequency, inclusions size and volume fraction on the damping capability of polymer composites are studied. It is shown that analytical micromechanics methods give accurate predictions only when inclusions volume fraction is small. The results show that loading frequency and inclusions volume fraction significantly impact the damping capability of polymer composites. The effect of domain boundary conditions on the simulation results is studied by conducting finite element modelings on representative volume elements (RVEs) which are subjected to periodic or mixed boundary conditions. The modeling results indicate that both boundary conditions lead to similar predictions for damping. Sensitivity analyses are conducted to assess how material properties influence the damping property. The sensitivity analyses show that an increase in the stiffness of the composite matrix leads to a reduction in the damping capability of polymer composites. In contrast, an increase in the stiffness of inclusions results in an increase in the damping capability of polymer composites. Moreover, the damping properties are improved if the relaxation time of the viscoelastic matrix is increased.

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Stochastic modelling of clay/epoxy nanocomposites

Cited by 63 publications

References 37 publications

Stochastic analysis of the interphase effects on the mechanical properties of clay/epoxy nanocomposites

Stochastic analysis of the interphase effects on the mechanical properties of clay/epoxy nanocomposites

On variations of the interphase thickness and the slope of strengthening by clay addition in exfoliated polymer-clay nanocomposites

A Stochastic Analysis of the Damping Property of Filled Elastomers

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