Multiscale homogenization method for the prediction of elastic properties of fiber-reinforced composites

Shu, Wenya; Stanciulescu, Ilinca

doi:10.1016/j.ijsolstr.2020.08.009

Cited by 25 publications

(12 citation statements)

References 38 publications

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“…Reviewing the reports so far by fiber, the effects of fiber content and aspect ratio on elastic modulus [ 26 ] and the effect of fiber orientation distribution during injection molding [ 27 ] have been clarified for glass microfiber reinforced plastics. Representative volume elements (RVE) assuming Weibull distribution with respect to the glass fiber length has also been constructed, and has been developed into a statistical evaluation of mechanical properties.…”

Section: Introductionmentioning

confidence: 99%

Fiber contribution on elastic properties of cellulose composites: A multiscale numerical study

Yasuda

Teramoto

Ogoe³

et al. 2022

Polymer Composites

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Multiscale finite element analysis based on the asymptotic homogenization theory was carried out for short fiber reinforced plastics (FRP), and the effects of fiber morphologies on mechanical properties were systematically organized. Cellulose microfibers were used as the reinforcing fibers and polypropylene was used as the matrix. In order to quantify the enhancement effect of intrinsic fibers on the mechanical properties, a new indicator based on strain energy, contribution proportion of fiber (CPf) was proposed. In this paper, as the first demonstration of introducing the CPf, unidirectionally oriented short FRP was focused and elastic properties were analyzed for fundamental fiber morphologies. In terms of the fluctuation rate based on the elastic modulus of the matrix, when the volume content of fiber is 3.0 vol%, the elastic modulus of composites varied by 106%, 105%, 97.6%, and 35.1%, respectively, depending on the fiber orientation, fiber aspect ratio, fiber/matrix interface and fiber‐to‐fiber distance. Based on the CPf, fiber morphologies could be divided into two. The first factors are fiber orientation angle and fiber content, which determine the rate of change in mechanical properties with respect to the CPf. The second factors are fiber aspect ratio, fiber/matrix interface, and fiber‐to‐fiber distance, which affect the mechanical properties according to the rate of change determined by the first factors. The complicated influence of the fiber morphologies on the mechanical properties could be unified by introducing the CPf. These computations show that CPf is effective for systematic analysis and design of fiber morphologies.

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Section: Introductionmentioning

confidence: 99%

Fiber contribution on elastic properties of cellulose composites: A multiscale numerical study

Yasuda

Teramoto

Ogoe³

et al. 2022

Polymer Composites

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“…Simulating interphase with arbitrary thickness is achieved without experiencing convergence issues common to the finite-element approach (Despringre et al, 2016). Many classical or mean-field approaches are found in the literature aimed at understanding the interfacial damage behavior in composite materials, cf., Matous (2003), Lee and Pyo (2008), Pyo and Lee (2010), Lim et al (2020), Dinzart andSabar (2017), Shu and Stanciulescu (2020), and Zhou and Huang (2020). However, to the authors' best knowledge, thus far, there has been no reported work that is devoted to addressing both ductile and discrete types of damages in mean-field micromechanics-based models in the open literature.…”

Section: Introductionmentioning

confidence: 99%

Extended mean-field homogenization of viscoelastic-viscoplastic polymer composites undergoing hybrid progressive degradation induced by interface debonding and matrix ductile damage

Chen

Chatzigeorgiou

Meraghni

2021

International Journal of Solids and Structures

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In this contribution, a probabilistic micromechanics damage framework is presented to predict the macroscopic stress-strain response and progressive damage in unidirectional glass-reinforced thermoplastic polymer composites. Motivated by different failure modes observed experimentally, the damage mechanism in the vicinity of the fibers (namely, the interphase) is characterized by initiating and growing voids. The mechanisms can be formulated through a Weibull probabilistic density function. In contrast, the ductile progressive degradation of matrix initial stiffness is analyzed via the continuum damage theory. To accommodate different damage mechanisms in the matrix and the interphase, a three-phase Mori-Tanaka (MT) method and transformation field analysis approach (TFA) are established within a unified framework that allows simulation of both ductile and discrete damages in different phases. Moreover, the rate-dependent viscoelastic and viscoplastic response of the polymer matrix phase is modelled through a phenomenological model consisting of four Kelvin-Voigt branches and a viscoplastic branch under the thermodynamics framework. The reliability and efficiency of the modified mean-field damage model, based on TFA and Mori-Tanaka scheme, are assessed by comparing the simulated stress-strain response against full-field Abaqus simulations under both unidirectional and multiaxial nonproportional 2 loading paths at different loading rates. The developed model provides an efficient alternative to the finite-element based full-field homogenization schemes or other mean-field micromechanics techniques that may be compared, as well as a framework for a potential extension of the theory for simulating damage evolution in composites with random reinforcement orientations.

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“…Artioli et al [16] applied the AHM to determine the effective longitudinal shear properties of elastic FRCs with radially graded fibers, assuming imperfect interface conditions. Shu and Stanciulescu [17] proposed an analytical approach using multiscale homogenization to characterize FRCs with imperfect interphase through the shear-lag model. Dhimole et al [18] implemented a multiscale modeling based on homogenization method to predict the accurate mechanical behavior of 3D four-directional braided composites.…”

Section: Introductionmentioning

confidence: 99%

“…In this case, a thin mesophase is added between the fiber and the matrix in a three-phase FRC. This contact zone is commonly defined as imperfect contact region, see, for instance, [17,[27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Effective Complex Properties for Three-Phase Elastic Fiber-Reinforced Composites with Different Unit Cells

et al. 2021

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The development of micromechanical models to predict the effective properties of multiphase composites is important for the design and optimization of new materials, as well as to improve our understanding about the structure–properties relationship. In this work, the two-scale asymptotic homogenization method (AHM) is implemented to calculate the out-of-plane effective complex-value properties of periodic three-phase elastic fiber-reinforced composites (FRCs) with parallelogram unit cells. Matrix and inclusions materials have complex-valued properties. Closed analytical expressions for the local problems and the out-of-plane shear effective coefficients are given. The solution of the homogenized local problems is found using potential theory. Numerical results are reported and comparisons with data reported in the literature are shown. Good agreements are obtained. In addition, the effects of fiber volume fractions and spatial fiber distribution on the complex effective elastic properties are analyzed. An analysis of the shear effective properties enhancement is also studied for three-phase FRCs.

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Multiscale homogenization method for the prediction of elastic properties of fiber-reinforced composites

Cited by 25 publications

References 38 publications

Fiber contribution on elastic properties of cellulose composites: A multiscale numerical study

Fiber contribution on elastic properties of cellulose composites: A multiscale numerical study

Extended mean-field homogenization of viscoelastic-viscoplastic polymer composites undergoing hybrid progressive degradation induced by interface debonding and matrix ductile damage

Effective Complex Properties for Three-Phase Elastic Fiber-Reinforced Composites with Different Unit Cells

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