Extension of Maxwell homogenization scheme for piezoelectric composites containing spheroidal inhomogeneities

Gandarilla-Pérez, Carlos A.; Rodrı́guez-Ramos, Reinaldo; Sevostianov, Igor; Sabina, Federico J.; Bravo‐Castillero, Julián; Guinovart-Dı́az, Raúl; Lau-Alfonso, L.

doi:10.1016/j.ijsolstr.2017.11.015

Cited by 12 publications

(15 citation statements)

References 35 publications

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“…The effective inclusion must be selected as a spheroid with the same aspect ratio as the inhomogeneities δ e = δ, as observed in Refs. [7,10]. Figure 7 shows a comparison between the effective constants for different tri-phasic piezoelectric composites.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…The tensors S (r ) x , M (r ) x , S (r ) ,x , and M (r ) ,x are averaged over the inhomogeneity domain of the second partial derivative of the Green's function (a detailed discussion is given in Ref. [10]), 7) and the tensor M (r )…”

Section: Hill Tensor Q For Spheroidal Inhomogeneitiesmentioning

confidence: 99%

“…Recently, a previous work [10] has only focused on the extension of Maxwell's homogenization scheme for piezoelectric composites containing parallel aligned spheroidal inhomogeneities along the x 3 axis of the composite. The authors reported a simple way to obtain the effective overall electro-elastic properties of biphasic and tri-phasic composites.…”

Section: Introductionmentioning

confidence: 99%

“…The novelty of the present work is based on the analysis of the relation between the behavior of the effective moduli and the orientations of the reinforcements inside the matrix by means of probability functions, which allow to examine the effective performance of composites and generalize the approach presented in Ref. [10]. Self-consistent variational bounds are given in Ref.…”

Section: Introductionmentioning

confidence: 99%

“…In the present paper, the extension of Maxwell's scheme to the piezoelectric composites given by authors of Ref. [10] is used. To the best of our knowledge, a theoretical model describing the electromechanical behavior of multiphase piezoelectric composites has not been proposed and the effect of arbitrary-oriented inhomogeneities has not been addressed.…”

Section: Introductionmentioning

confidence: 99%

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Maxwell homogenization scheme for piezoelectric composites with arbitrarily-oriented spheroidal inhomogeneities

et al. 2019

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homogenization scheme for piezoelectric composites with arbitrarily-oriented spheroidal inhomogeneities.Abstract In this work, the effective electro-elastic properties of piezoelectric composites are computed using the Maxwell homogenization method (MHM). The composites are made by several families of spheroidal inhomogeneities embedded in a homogeneous infinite medium (matrix). Each family of spheroidal inhomogeneities is made of the same material, and all the inhomogeneities have identical size and shape and are randomly oriented. The inhomogeneities and matrix materials exhibit piezoelectric transversely isotropic symmetry. It is shown that the shape of the "effective inclusion" substantially affects the effective piezoelectric properties. A new and simple form to calculate the aspect ratio of effective inclusion is presented. The effect on the overall piezoelectric properties due to the orientation of the inhomogeneities and different families of piezoelectric inhomogeneities is discussed. The MHM approach is applied in two examples, material with inhomogeneities having scatter orientation and composites with two different families of spheroidal inhomogeneities.

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Section: Numerical Resultsmentioning

confidence: 99%

Section: Hill Tensor Q For Spheroidal Inhomogeneitiesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Maxwell homogenization scheme for piezoelectric composites with arbitrarily-oriented spheroidal inhomogeneities

et al. 2019

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Theoretical study on dynamic effective electroelastic properties of random piezoelectric composites with aligned inhomogeneities

Yue

Wan

2023

Appl. Math. Mech.-Engl. Ed.

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A Mori–Tanaka Based Micromechanical Model for Predicting the Effective Electroelastic Properties of Orthotropic Piezoelectric Composites with Spherical Inclusions

Mishra

Das

2020

SN Appl. Sci.

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Piezoelectric nanocomposites consisting of an orthotropic piezo-active polymer matrix and with piezo-ceramic nanoparticles as reinforcement are potential candidates as materials for structural components of the next-generation energyharvesting micro-devices that are compatible with flexible electronics. Prediction of effective electroelastic properties of such piezoelectric composites is an essential step towards design and development of such energy-harvesting micro/ nano-structures. This paper proposes a micromechanical model for determination of effective elastic, piezoelectric and dielectric properties of unidirectional piezoelectric polymer composites having spherical type inclusions embedded in an orthotropic matrix. The model is based on Mori-Tanaka's mean field homogenization scheme and involves the determination of piezoelectric Eshelby tensors. As an example, the effective electromechanical properties of PVDF (polyvinylidene fluoride)/PZT 7A (lead zirconate titanate) composite were determined using the micromechanical model and the results were validated with a finite element model and with experimental data available in literature. The results demonstrate that the micromechanics model developed here successfully predicts the effective electroelastic properties of piezoelectric orthotropic composite at low volume fractions of the reinforcement.

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Extension of Maxwell homogenization scheme for piezoelectric composites containing spheroidal inhomogeneities

Cited by 12 publications

References 35 publications

Maxwell homogenization scheme for piezoelectric composites with arbitrarily-oriented spheroidal inhomogeneities

Maxwell homogenization scheme for piezoelectric composites with arbitrarily-oriented spheroidal inhomogeneities

Theoretical study on dynamic effective electroelastic properties of random piezoelectric composites with aligned inhomogeneities

A Mori–Tanaka Based Micromechanical Model for Predicting the Effective Electroelastic Properties of Orthotropic Piezoelectric Composites with Spherical Inclusions

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