Effective properties of piezoelectric composites with periodic structure

We propose a new hybrid piezoelectric composite comprised of armchair single-walled carbon nanotubes and piezoelectric fibers as reinforcements embedded in a conventional polymer matrix. Effective piezoelectric and elastic properties of this composite have been determined by a micromechanical analysis. Values of the effective piezoelectric coefficient e31 of this composite that accounts for the in-plane actuation and of effective elastic properties are found to be significantly higher than those of the existing 1–3 piezoelectric composites without reinforced with carbon nanotubes.

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Homogenization of piezoelectric planar Willis materials

10.31224/osf.io/aswmt ◽

2021 ◽

Author(s):

Alan Muhafra ◽

Majd Kosta ◽

Daniel Torrent Martí ◽

René Pernas Salomón ◽

Gal Shmuel

Keyword(s):

Heterogeneous Media ◽

Effective Properties ◽

Constitutive Relations ◽

Piezoelectric Composites ◽

Long Wavelength ◽

Equivalent Models ◽

Homogenized Model ◽

Arbitrary Frequency ◽

Momentum Coupling ◽

Physical Laws

Homogenization theories provide models that simplify the constitutive relations of heterogeneous media while retaining their macroscopic features. These theories have shown how the governing fields can be macroscopically coupled, even if they are microscopically independent. A prominent example is the Willis theory which predicted the strain-momentum coupling in elastodynamic metamaterials. Recently, a theory that is based on the Green’s function method predicted analogous electro-momentum coupling in piezoelectric metamaterials. Here, we develop a simpler scheme for fibrous piezoelectric composites undergoing antiplane shear waves. We employ a source- driven approach that delivers a unique set of effective properties for arbitrary frequency-wavevector pairs. We numerically show how the resultant homogenized model recovers exactly the dispersion of free waves in the composite. We also compute the effective properties in the long-wavelength limit and off the dispersion curves, and show that the resultant model satisfy causality, reciprocity and energy conservation. By contrast, we show how equivalent models that neglect the electromomentum coupling violate these physical laws.

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Numerical Simulation of Effective Properties of 3D Piezoelectric Composites

Journal of Engineering ◽

10.1155/2014/824806 ◽

2014 ◽

Vol 2014 ◽

pp. 1-14 ◽

Cited By ~ 4

Author(s):

Ri-Song Qin ◽

Yi Xiao ◽

Haitian Lan

Keyword(s):

Isotropic Material ◽

Effective Properties ◽

Three Dimensional ◽

Transversely Isotropic ◽

Linear Interpolation ◽

3D Analysis ◽

Piezoelectric Composites ◽

Constraint Equations ◽

Nodal Displacements ◽

Good Agreement

The prediction of the overall effective properties of fibre-reinforced piezocomposites has drawn much interest from investigators recently. In this work, an algorithm used in two-dimensional (2D) analysis for calculating transversely isotropic material properties is developed. Since the finite element (FE) meshing patterns on the opposite areas are the same, constraint equations can be applied directly to generate appropriate load. The numerical results derived using this model have found a good agreement with those in the literature. The 2D algorithm is then modified and improved in such a way that it is valid for three-dimensional (3D) analysis in the case of random distributed shorts and inclusions. Linear interpolation of displacement field is employed to establish constraint equations of nodal displacements between two adjacent elements.

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Effective properties of piezoelectric composites with parallelogram periodic cells

International Journal of Engineering Science ◽

10.1016/j.ijengsci.2011.12.009 ◽

2012 ◽

Vol 53 ◽

pp. 58-66 ◽

Cited By ~ 21

Author(s):

R. Guinovart-Díaz ◽

P. Yan ◽

R. Rodríguez-Ramos ◽

J.C. López-Realpozo ◽

C.P. Jiang ◽

...

Keyword(s):

Effective Properties ◽

Piezoelectric Composites

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Effective Properties of Discrete Random Composites Wherein the Host and Inclusion Phases Obey Different Constitutive Relations

MRS Proceedings ◽

10.1557/proc-253-113 ◽

1991 ◽

Vol 253 ◽

Author(s):

V V. Varadan ◽

R. T. Apparao ◽

V. K. Varadan

Keyword(s):

Wave Propagation ◽

Effective Properties ◽

Constitutive Relations ◽

Effective Medium ◽

Acoustic Wave Propagation ◽

Piezoelectric Composites ◽

Inclusion Phase ◽

Random Composites ◽

Polarization Study ◽

Effective Medium Theories

ABSTRACTIn studying the effective medium theories, polarization is hardly given a consideration in deciding the effective properties of a composite where the host and inclusion phases follow different constitutive equations. A significant conclusion of this paper is that eventhough the composite has discrete inclusions, with the inclusion phase obeying different constitutive properties than the host, the effective medium shows a preference for the inclusion behavior rather than the host which is continuous. As an example, results on polarization study are detailed for the specific case of chiral composites. Application of similar principles is presently explored in more complex problems like the elastic wave propagation through piezoelectric composites and the acoustic wave propagation through sediments.

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