Stochastic homogenization analysis for thermal expansion coefficients of fiber reinforced composites using the equivalent inclusion method with perturbation-based approach

Sakata, Sei-ichiro; Ashida, Fumihiro; Kojima, Tomoyuki

doi:10.1016/j.compstruc.2009.12.007

Cited by 28 publications

(12 citation statements)

References 14 publications

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“…The assumptions, advantages, and disadvantages of several analytical models that predict the CTE with respect to fiber volume fraction, fiber orientation, and elastic constants of fiber and matrix have been extensively published [22]. Some models that are not necessarily closed-form have been published with comparisons to experimental or [20] Longitudinal expansion Transverse expansion Cup sliding numerical data, including comparisons to finite element models [23] and Monte Carlo simulations [24]. General assumptions that are made in the models for evaluation of CTE include [22]:…”

Section: Analytical Modeling Cte Of Cnf/epoxy Compositesmentioning

confidence: 98%

Thermal Expansion of CNF/Polymer Composites

Poveda

Gupta

2015

Carbon Nanofiber Reinforced Polymer Composites

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Improved dimensional stability of composites is desired in applications where they are exposed to varying temperature conditions. Polymers inherently have a high coefficient of thermal expansion (CTE), which complicates their inclusion in structural designs exposed to temperature extremes. However, through low-CTE reinforcements dispersed in a polymeric matrix, the CTE of the composite can be lowered to a degree suitable for use in service. This chapter aims at summarizing the studies that analyze the effect of vapor-grown carbon nanofibers (CNFs) on the thermal expansion behavior of polymer matrix composites. CNFs typically have a significantly lower CTE than epoxy resins and other widely used polymer matrices, which result in composites with increased dimensional stability as the dispersed CNF content is increased. The use of nanofibers has resulted in the ability to tailor the thermal expansion of the composite over a wide range. Schapery's model is used to estimate the upper and lower bounds on the CTE of CNF/epoxy nanocomposites. The experimental results are found to be within the bounds.

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Section: Analytical Modeling Cte Of Cnf/epoxy Compositesmentioning

confidence: 98%

Thermal Expansion of CNF/Polymer Composites

Poveda

Gupta

2015

Carbon Nanofiber Reinforced Polymer Composites

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“…random interface defects in composite materials, where the number of defects as well as their radii and the Young modulus of the matrix were taken as Gaussian random variables. Sakata and coworkers [20] presented a perturbation-based stochastic homogenization analysis method for the thermal expansion coefficient of a fiber-reinforced composite material. Feng and Li [21] proposed a robust and efficient algorithm based on nonlinear transformation of Gaussian random fields to reconstruct two-phase composite materials with random morphology, according to given samples or given statistical characteristics.…”

Section: Introductionmentioning

confidence: 99%

“…The existing models mainly address the randomness of the micro-structural morphology [14,16,17,[21][22][23] or sometimes of several material properties [19,20,24]. Moreover, they do not include the correlation of the micro-structural properties or the morphology parameters as well as the correlation among the random homogenized results.…”

Section: Introductionmentioning

confidence: 99%

Stochastic homogenized effective properties of three-dimensional composite material with full randomness and correlation in the microstructure

Zhang

Wriggers

et al. 2014

Computers & Structures

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“…Several reports on the Monte-Carlo simulation [1,2], the perturbation analysis with the homogenizationbased finite element analysis [3][4][5][6] or the equivalent inclusion method [7,8] have been reported. Also, other approaches for stochastic homogenization analysis [9,10] or approximationbased stochastic homogenization analysis [11,12] have been reported.…”

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confidence: 99%

Hierarchical stochastic homogenization analysis of a particle reinforced composite material considering non-uniform distribution of microscopic random quantities

Sakata

Ashida

2011

Comput Mech

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This paper discusses a stochastic homogenization problem for evaluation of stochastic characteristics of a homogenized elastic property of a particle reinforced composite material especially in case of considering a nonuniform distribution of a material property or geometry of a component material and its random variation. In practice, some microscopic random variations in composites may not be uniform. In this case, a non-uniformly distributed random variation of a microscopic material or geometrical property should be taken into account. For this problem, this paper proposes a hierarchical stochastic homogenization method. This method assumes that a two-phase composite material can be separated into three-scales, and propagation of the randomness through the different scales can be evaluated with the perturbation-based technique. As an example, stochastic characteristics of homogenized elastic properties of a glassparticle reinforced plastic are estimated using the proposed approach. With the numerical results, importance of the problem and validity of the proposed method are discussed.

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Stochastic homogenization analysis for thermal expansion coefficients of fiber reinforced composites using the equivalent inclusion method with perturbation-based approach

Cited by 28 publications

References 14 publications

Thermal Expansion of CNF/Polymer Composites

Thermal Expansion of CNF/Polymer Composites

Stochastic homogenized effective properties of three-dimensional composite material with full randomness and correlation in the microstructure

Hierarchical stochastic homogenization analysis of a particle reinforced composite material considering non-uniform distribution of microscopic random quantities

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