Micromechanical models for time-dependent multiphysics responses of polymer matrix smart composites

Tang, Tian; Felicelli, Sergio D.

doi:10.1016/j.ijengsci.2015.05.010

Cited by 10 publications

(3 citation statements)

References 20 publications

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“…Estimation of eective elastic properties is quite common in the literature of mechanical sciences (Michel et al, 1999;Tang and Felicelli, 2015;Vilchevskaya and Sevostianov, 2015). A similar approach is followed to evaluate the eective material properties of dierent nano-structures having hexagonal congurations .…”

Section: Introductionmentioning

confidence: 99%

Effective in-plane elastic moduli of quasi-random spatially irregular hexagonal lattices

Mukhopadhyay

Adhikari

2017

International Journal of Engineering Science

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An analytical framework is developed for predicting the eective in-plane elastic moduli (longitudinal and transverse Young's modulus, Poisson's ratios and shear modulus) of irregular hexagonal lattices with generalized form of spatially random structural geometry. On the basis of a mechanics based bottom-up multi-step approach, computationally ecient closed-form formulae are derived in this article. As a special case when there is no irregularity, the derived analytical expressions reduce to the respective well known formulae of regular honeycombs available in literature. Previous analytical investigations include the derivation of eective in-plane elastic moduli for hexagonal lattices with spatially random variation of cell angles, which is a special case of the generalized form of irregularity in material and structural attributes considered in this paper. The present study also includes development of a highly generalized nite element code for obtaining equivalent elastic properties of random lattices, which is employed to validate the proposed analytical formulae. The statistical results of elastic moduli obtained using the developed analytical expressions and using direct nite element simulations are noticed to be in good agreement arming the accuracy and validity of the proposed analytical framework. All the in-plane elastic moduli are found to be signicantly inuenced by spatially random irregularity resulting in a decrease of the mean values for the two Young's moduli and two Poisson's ratios, while an increase of the mean value for the shear modulus.

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Section: Introductionmentioning

confidence: 99%

Effective in-plane elastic moduli of quasi-random spatially irregular hexagonal lattices

Mukhopadhyay

Adhikari

2017

International Journal of Engineering Science

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“…The obtained fitting results can be used to predict the dielectric constant of composites with binary particles. In literature, it is reported that different theoretical models were only accurate within certain test frequency …”

Section: Resultsmentioning

confidence: 99%

Effect of arrangement of nano and micro barium titanate (BaTiO₃) particles on the enhanced dielectric constant of high‐density polyethylene (HDPE)/BaTiO₃

Zhang

2018

J Polym Sci B Polym Phys

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The aim of this study is to improve the dielectric and mechanical properties of HDPE/BaTiO3 composites by binary BaTiO3 particles, when the volume fraction of BaTiO3 is constant. In this study, it was found that the pack density of binary BaTiO3 particles in HDPE/BaTiO3 composite relies on particle ratio and volume fraction of small particles. It is found that the addition of 50 vol % 1600 nm BaTiO3 particles can boost the dielectric constant of HDPE control from 2 to 30 (14 times higher) at 40 Hz and 19 (8.5 times higher) at 40 MHz, respectively. When the particle ratio was 4, the substitution of 10 vol % 1600 nm BaTiO3 particles by 10 vol % 400 nm BaTiO3 particles can further enhance the dielectric constant of HDPE/L‐BT (10/10) from 30 to 50 (67% increase) at 40 Hz and from 19 to 42 (121% increase) at 40 MHz, respectively, without greatly influencing the volume resistivity of HDPE composites. In addition, the thermal conductivity of HDPE with binary BaTiO3 particles were all above 2.0 W/(m•K). © 2018 Wiley Periodicals, Inc. J. Polym. Sci., Part B: Polym. Phys. 2018, 56, 1101–1108

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“…Huang and Kuo (1997), Li and Dunn (1998), Koutsawa (2015), and Wang et al (2015) used the Mori-Tanaka approach to analyze the dependence of effective magnetoelectric coefficients of BaTiO3/CoFe2O4 composites on various connectivity types. Finite element method was employed by Lee et al (2005) and Tang and Felicelli (2015) to investigate the effect of the polymer matrix on magnetoelectric coupling of a three-phase composite constructed by piezoelectric and magnetostrictive phases in an elastic or a viscoelastic matrix, respectively. Aboudi (2001) proposed an asymptotic homogenization method, Tong et al (2008) implemented a generalized self-consistent scheme, Tang and Yu (2009) applied a variational asymptotic method for unit cell homogenization, and Kim (2011) adopted an exact matrix method to analyze magnetoelectric effects of fibrous composites and bilayer laminates.…”

Section: Developed An Analytical Model Based Onmentioning

confidence: 99%

Micromechanical analysis of magnetoelectric coupling of composites containing nonlinear magnetostrictive and piezoelectric constituents

Lin

2023

Preprint

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This paper is a reformulation of the simplified unit-cell and Mori-Tanaka micromechanics theories in their applications to nonlinear magnetoelectric analysis of two-phase 0-3, 1-3 and 2-2 composites. We elucidate the similarity between the two models insofar as concentration-factor matrices are concerned. The representations of the bulk magnetostrictive and piezoelectric phases are based on nonlinear constitutive equations. Due to material nonlinearity, the mathematical frameworks are accomplished via incremental formulation that provides a system of linear algebraic equations at each increment which is obviously a great advantage over nonlinear one. The derived nonlinear composite constitutive relations that govern the hysteresis behavior of composites are implemented to study the composite composed of Terfenol-D and PZT constituents. The responses of this composite to a complete cycle of magnetic field are shown and the micromechanics predictions are compared in light of existing experimental data.

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Micromechanical models for time-dependent multiphysics responses of polymer matrix smart composites

Cited by 10 publications

References 20 publications

Effective in-plane elastic moduli of quasi-random spatially irregular hexagonal lattices

Effective in-plane elastic moduli of quasi-random spatially irregular hexagonal lattices

Effect of arrangement of nano and micro barium titanate (BaTiO₃) particles on the enhanced dielectric constant of high‐density polyethylene (HDPE)/BaTiO₃

Micromechanical analysis of magnetoelectric coupling of composites containing nonlinear magnetostrictive and piezoelectric constituents

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Micromechanical models for time-dependent multiphysics responses of polymer matrix smart composites

Cited by 10 publications

References 20 publications

Effective in-plane elastic moduli of quasi-random spatially irregular hexagonal lattices

Effective in-plane elastic moduli of quasi-random spatially irregular hexagonal lattices

Effect of arrangement of nano and micro barium titanate (BaTiO3) particles on the enhanced dielectric constant of high‐density polyethylene (HDPE)/BaTiO3

Micromechanical analysis of magnetoelectric coupling of composites containing nonlinear magnetostrictive and piezoelectric constituents

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Effect of arrangement of nano and micro barium titanate (BaTiO₃) particles on the enhanced dielectric constant of high‐density polyethylene (HDPE)/BaTiO₃