Homogenization techniques and application to piezoelectric composite materials

Agbossou, Amen; Viet, Hung Nguyen; Pastor, J.

doi:10.3233/jae-1999-154

Cited by 7 publications

(5 citation statements)

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“…16,17 With this in mind, several techniques have been developed to study piezocomposites. 18 Among the modeling methods, some analytical models have been developed with a view to purely theoretical formulae to obtain the homogenized properties of the piezocomposite. 19,20 In alternative studies, with a purely numerical approach, the finite element method (FEM) has been developed for complex geometries.…”

Section: Introductionmentioning

confidence: 99%

Phenomenological model for predicting thermoelectromechanical response of 2-2 piezocomposite

Mha

Maréchal

Ntamack

et al. 2023

Journal of Composite Materials

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The homogenization of piezocomposites is a research challenge as the development of analytical models remains a challenge. In this perspective, this work contributes to the development of an analytical model to predict the thermoelectromechanical behavior of the 2-2 piezocomposite where both phases are electrically active. To establish this model the series/parallel method was used and thus the effective homogenised properties of the composite are established. The influence of the volume fraction on the characteristic parameters was studied and found that a numerical simulation of the effective parameters resulting from a {PZT-5A/PVDF-TrFE} composition shows that, volume fraction influences significantly on the properties of the piezocomposite and consequently on its behavior in service. Due to the unavailability of experimental data in the literature, the validation of the model is done with reference to the model applied to the 1-3 piezocomposite. Therefore, to a certain extent, it is found that the results are in agreement. Based on the results of this model and in comparison with those formulated from 1-3 piezocomposite as presented in the paper, the studied 2-2 piezocomposite could be used where 1-3 piezocomposite is sometimes integrated, as the highest performance piezocomposite. However, this remains to be validated experimentally for targeted applications to be useful for the scientific and even industrial communities.

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Section: Introductionmentioning

confidence: 99%

Phenomenological model for predicting thermoelectromechanical response of 2-2 piezocomposite

Mha

Maréchal

Ntamack

et al. 2023

Journal of Composite Materials

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“…However, most of the studies [7][8][9][10][11] start from the Eshelby solution of an infinite medium containing a single ellipsoidal inclusion [12], in which the effects of a finite concentration of particles are introduced using the Mori-Tanaka mean field theory [13]. Finite element analyses have also been performed [9,[14][15][16][17][18] either as a standalone method to calculate the effective coefficients or to validate the aforementioned models. The previous studies all have in common that they consider a representative volume element (RVE) which consists of a periodic unit cell containing a single particle inside the matrix.…”

Section: Introductionmentioning

confidence: 99%

Optimization of the piezoelectric response of 0–3 composites: a modeling approach

Chambion

Goujon

Badie

et al. 2011

Smart Mater. Struct.

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Finite element modeling is used in this study to optimize the electromechanical behavior of 0-3 composites according to the material properties of their constituents. Our modeling approach considers an 'extended' 2D representative volume element (RVE) with randomly dispersed piezoelectric particles. A variable distribution of their polarization axes is also implemented because a full periodic arrangement of fillers and a unique poling orientation are unrealistic in practice. Comparisons with a simpler RVE and with an analytical model based on the Mori-Tanaka approach are performed as a function of the particle concentration for the elastic, dielectric and piezoelectric homogenized properties. An optimization of the piezoelectric response of 0-3 composites according to material considerations is then computed, allowing it to be shown that the piezoelectric strain coefficient is not the only relevant parameter and that lead-free piezoelectric fillers such as LiNbO 3 and ZnO are competitive alternatives. Finally, the piezoelectric responses of 0-3 composites with different filler arrangements are quantitatively compared to 1-3 composites and to the corresponding bulk material.

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“…The effective properties of a composite made of elastic inclusions and a viscoelastic matrix have been derived by Li and Weng (1994), Alberola and Benzarti (1998), and Aboudi (2000). Whereas effective electroelastic properties of piezocomposites with piezoelectric (PZT) inclusions and an elastic matrix have been widely studied (e.g., see Chan and Unsworth, 1989;Dunn and Taya, 1993;Avellaneda and Swart, 1998;Agbossou et al, 1999;Jiang et al, 1999a;Hornsby and Das-Gupta, 2000), those of a piezocomposite with a viscoelastic matrix seem not to have been scrutinized. Jiang et al (1999bJiang et al ( , 2000 have derived effective moduli of spherical PZT inclusions embedded in a viscoelastic and dielectrically relaxing matrix without accounting for the interaction among the inclusions, and they did not give closed form expressions for the effective electroelastic moduli of the piezocomposite.…”

Section: Introductionmentioning

confidence: 99%

Effective Electroelastic Properties of a Piezocomposite with Viscoelastic and Dielectric Relaxing Matrix

Jiang

Batra

2001

Journal of Intelligent Material Systems and Structures

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We use the correspondence principle of linear viscoelasticity and the Mori-Tanaka averaging method to determine the effective electroviscoelastic moduli of a piezocomposite made of piezoceramic (PZT) inclusions and a viscoelastic matrix whose dielectric constants also vary with time t. For elliptic cylindrical PZT inclusions, closed form expressions for the electroviscoelastic moduli are derived. It is found that for the 1-3 piezocomposite, the relaxation of the dielectric constants of the matrix affects only the dielectric moduli and the shear components of the piezoelectric and the viscoelastic moduli of the piezocomposite. However, the viscoelasticity of the matrix influences every effective electroelastic modulus of the piezocomposite. The relaxation times of any two effective moduli are different, and the piezocomposite is an orthotropic material. For time-harmonic loading of the piezocomposite studied, only frequencies in the range of 10 2- 102 Hz strongly influence the effective storage and the effective loss moduli. Whereas thin PZT ribbons provide the most mechanical strength to the piezocomposite, they give the least piezoelectric effect.

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Homogenization techniques and application to piezoelectric composite materials

Cited by 7 publications

References 0 publications

Phenomenological model for predicting thermoelectromechanical response of 2-2 piezocomposite

Phenomenological model for predicting thermoelectromechanical response of 2-2 piezocomposite

Optimization of the piezoelectric response of 0–3 composites: a modeling approach

Effective Electroelastic Properties of a Piezocomposite with Viscoelastic and Dielectric Relaxing Matrix

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