A re-formulation of the Mori–Tanaka method for predicting material properties of fiber-reinforced polymers/composites

Pan, Jing; Bian, Lichun

doi:10.1007/s00396-019-04472-y

Cited by 5 publications

(2 citation statements)

References 36 publications

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“…The simplest MFA is the Mori-Tanaka (MT) theory [6], which encompasses the full physical range of phase-volume fractions and allows for treating composites with high fiber volume fractions. Numerous propositions exist in the literature for extending the applicability of mean field methods to composites ( [7][8][9][10]). These propositions are not always successful, especially when the matrix phase has nonlinear responses, and certain engineering-motivated improvements are required [11].…”

Section: Introductionmentioning

confidence: 99%

Composite Material Elastic Effective Coefficients Optimization by Means of a Micromechanical Mechanical Model

2022

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The presented research work demonstrates an efficient methodology based on a micromechanical framework for the prediction of the effective elastic properties of strongly bonded long-fiber-reinforced materials (CFRP) used for the construction of tubular structures. Although numerous analytical and numerical micromechanical models have been developed to predict the mechanical response of CFRPs, either they cannot accurately predict complex mechanical responses due to limits on the input parameters or they are resource intensive. The generalized method of cells (GMC) is capable of assessing more detailed strain fields in the vicinity of fiber–matrix interfaces since it allows for a plethora of material and structural parameters to be defined while being computationally effective. The GMC homogenization approach is successfully combined with the covariance matrix adaptation evolution strategy (CMA–ES) to identify the effective elasticity tensor Cij of CFRP materials. The accuracy and efficiency of the proposed methodology are validated by comparing predicted effective properties with previously measured experimental data on CFRP cylindrical samples made of 3501-6 epoxy matrix reinforced with AS4 carbon fibers. The proposed and validated method can be successively used in both analyzing the mechanical responses of structures and designing new optimized composite materials.

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Section: Introductionmentioning

confidence: 99%

Composite Material Elastic Effective Coefficients Optimization by Means of a Micromechanical Mechanical Model

2022

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“…These models are generally of low computational cost and of reasonable accuracy 42 . Among the commonly applied are the rule of mixtures 43 , Kerner 44 and Lewis-Nielsen 45 , 46 models for predicting the stiffness of composites, and the Mori–Tanaka model 47 for calculating elastic stress field around the embedded particles. According to these models, the nanoparticles included into the polymer matrix give rise to both the weakening and reinforcing effects.…”

Section: Introductionmentioning

confidence: 99%

Atomistic-scale analysis of the deformation and failure of polypropylene composites reinforced by functionalized silica nanoparticles

Sorkin

Pei

Liu

et al. 2021

Sci Rep

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Interfacial adhesion between polymer matrix and reinforcing silica nanoparticles plays an important role in strengthening polypropylene (PP) composite. To improve the adhesion strength, the surface of silica nanoparticles can be modified by grafted functional molecules. Using atomistic simulations, we examined the effect of functionalization of silica nanoparticles by hexamethyldisilazane (HMDS) and octyltriethoxysilane (OTES) molecules on the deformation and failure of silica-reinforced PP composite. We found that the ultimate tensile strength (UTS) of PP composite functionalized by OTES (28 MPa) is higher than that of HMDS (25 MPa), which is in turn higher than that passivated only by hydrogen (22 MPa). To understand the underlying mechanistic origin, we calculated the adhesive energy and interfacial strength of the interphase region, and found that both the adhesive energy and interfacial strength are the highest for the silica nanoparticles functionalized by OTES molecules, while both are the lowest by hydrogen. The ultimate failure of the polymer composite is initiated by the cavitation in the interphase region with the lowest mass density, and this cavitation failure mode is common for all the examined PP composites, but the cavitation position is dependent on the tail length of the functional molecules. The present work provides interesting insights into the deformation and cavitation failure mechanisms of the silica-reinforced PP composites, and the findings can be used as useful guidelines in selecting chemical agents for surface treatment of silica nanoparticles.

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Multiscale stochastic computational homogenization of the thermomechanical properties of woven Cf/SiCm composites

Choi

Zhu

Lim

et al. 2019

Composites Part B: Engineering

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A re-formulation of the Mori–Tanaka method for predicting material properties of fiber-reinforced polymers/composites

Cited by 5 publications

References 36 publications

Composite Material Elastic Effective Coefficients Optimization by Means of a Micromechanical Mechanical Model

Composite Material Elastic Effective Coefficients Optimization by Means of a Micromechanical Mechanical Model

Atomistic-scale analysis of the deformation and failure of polypropylene composites reinforced by functionalized silica nanoparticles

Multiscale stochastic computational homogenization of the thermomechanical properties of woven Cf/SiCm composites

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