Computational homogenization of carbon/polymer composites with stochastic interface defects

Sokołowski, Damian; Kamiński, Marcin

doi:10.1016/j.compstruct.2017.04.076

Cited by 22 publications

(14 citation statements)

References 12 publications

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“…In spite of the coefficients corresponding to shear in the third model, all the effective tensor components linearly or nonlinearly decrease while increasing w with a relative reduction of 16% to almost 24% for w = 0.5. The interface defects are located in the interphase only, whose volume fraction in the composite is 6.5% and, therefore, such a reduction of the effective tensor is noticeable especially because it sharply increases with an increase in volume fraction of the interphase [13]. A difference in between the RVE computer models is the highest for the diagonal effective tensor components, especially for uniaxial tension, but the slope differs the most for shear deformations between the isotropic and anisotropic effective tensors.…”

Section: Deterministic Computational Analysismentioning

confidence: 95%

“…integral equal to 1 and then, the moments in Eqs. (11)(12)(13) just equal to the moments of deformation energy of the real composite. On the other hand, it is well known that elasticity tensor for the anisotropic continuum has definitely more complex form than in Eq.…”

Section: Figmentioning

confidence: 99%

“…Representative Volume Element of the anisotropic rubber-carbon black composite [13] 2 Mathematical model Let us consider a particle-reinforced composite in 3D Euclidean space indexed with Cartesian coordinates and denote it by Y . Its representative volume element (RVE) is denoted by and consists of three disjoint subsets corresponding to spherical particles ( p ), to the matrix ( m ) as well as to the interface defects ( d ) such that…”

Section: Figmentioning

confidence: 99%

“…Computational cost of numerical simulation of such a composite remarkably increases when compared to ideal two-component structure, especially when more than a single reinforcement is inserted into the RVE and when uncertainty analysis is to be carried out. Therefore, a homogenization method [13,14] is recommended to reduce this complexity by scale reduction in complex composite structures from a three-scale approach to traditional micro-macroanalysis where two separate scales are really necessary. Such a reduction gains specific importance when anisotropic packaging of the particles or fibers is assumed into the RVE [17][18][19][20], because inserting additional imperfect interfaces or interphases dramatically complicates meshing of the entire structure; it is also really necessary when statistical simulation techniques [21,22] are employed together with the complex finite element method (FEM) composite model.…”

Section: Introductionmentioning

confidence: 99%

“…Particulate or fibrous reinforcements usually do not contain such imperfections unlike the matrices, whereas the largest thermal stresses appear at the reinforcement-matrix boundary, so that the largest concentration of these imperfections is expected at the interface and they are geometrically located in the matrix region. Different numerical models are available in the literature to include this effect in numerical simulation of the composite-(i) from contact finite elements [9], (ii) through the interface elements [10] or the set of disconnecting spring elements up to (iii) the interphase [8,[11][12][13] being a thin film in-between traditional composite constituents modeled with 2 or 3D solid elements having material characteristics remarkably weaker than these defined for the matrix. One needs to notice a variety of analytical estimates of the effective elasticity tensor components for the composites including some interface imperfections [14][15][16].…”

Section: Introductionmentioning

confidence: 99%

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Homogenization of carbon/polymer composites with anisotropic distribution of particles and stochastic interface defects

Sokołowski

Kamiński

2018

Acta Mech

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The main objective is to investigate an effect of anisotropic distribution of the reinforcing particles in a cubic representative volume element (RVE) of the carbon-polymer composite including stochastic interphases on its homogenized elastic characteristics. This is done using a probabilistic homogenization technique implemented using a triple approach based on the stochastic perturbation method, Monte Carlo simulation as well as on the semi-analytical approach. On the other hand, the finite element method solution to the uniform deformations of this RVE is carried out in the system ABAQUS. This composite model consists of two neighboring scales-the micro-contact scale relevant to the imperfect interface and the micro-scale-having 27 particles inside a cubic volume of the polymeric matrix. Stochastic interface defects in the form of semi-spheres with Gaussian radius are replaced with the interphase having probabilistically averaged elastic properties, and then such a three-component composite is subjected to computational homogenization on the microscale. The computational experiments described here include FEM error analysis, sensitivity assessment, deterministic results as well as the basic probabilistic moments and coefficients (expectations, deviations, skewness and kurtosis) of all the components of the effective elasticity tensor. They also include quantification of anisotropy of this stiffness tensor using the Zener, Chung-Buessem and the universal anisotropy indexes. A new tensor anisotropy index is proposed that quantifies anisotropy on the basis of all not null tensor coefficients and remains effective also for tensors other than cubic (orthotropic, triclinic and also monoclinic). Some comparison with previous analyses concerning the isotropic case is also included to demonstrate the anisotropy effect as well as the numerical effort to study randomness in composites with anisotropic distribution of reinforcements and inclusions.

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Section: Deterministic Computational Analysismentioning

confidence: 95%

Section: Figmentioning

confidence: 99%

Section: Figmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Homogenization of carbon/polymer composites with anisotropic distribution of particles and stochastic interface defects

Sokołowski

Kamiński

2018

Acta Mech

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Random Field Modeling of Microstructure in Unidirectional Fiber‐Reinforced Plastic Using SEM‐Image and Image Processing for Multiscale Stochastic Stress Analysis Considering Random Fiber Arrangements

2022

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Herein, an image‐processing‐based random field modeling of microstructure in an actual specimen of a unidirectional fiber‐reinforced composite material and multiscale stochastic stress analysis with considering a random fiber arrangement having the random field identified from an actual specimen is described. Multiscale stochastic stress analysis will be effective for evaluation of uncertainty propagation through the different scales in heterogeneous materials. It will be important when a microscopic randomness has a significant influence on apparent material properties. Some mechanical properties of heterogeneous materials take an influence of the microscopic randomness, and such multiscale stochastic analysis has been attracted. In this article, a random field modeling technique for a digital image of microstructure of a unidirectional fiber‐reinforced plastic (FRP) is presented, and the multiscale stochastic stress analysis with considering a random fiber arrangement in FRP based on the random field model identified by the presented method is attempted. For this purpose, a method for generating a set of realizations according to the identified random field is also developed. From the results, effectiveness of the presented approach is discussed.

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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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Computational homogenization of carbon/polymer composites with stochastic interface defects

Cited by 22 publications

References 12 publications

Homogenization of carbon/polymer composites with anisotropic distribution of particles and stochastic interface defects

Homogenization of carbon/polymer composites with anisotropic distribution of particles and stochastic interface defects

Random Field Modeling of Microstructure in Unidirectional Fiber‐Reinforced Plastic Using SEM‐Image and Image Processing for Multiscale Stochastic Stress Analysis Considering Random Fiber Arrangements

A Stochastic Analysis of the Damping Property of Filled Elastomers

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