Multiple-scattering approach to effective properties of piezoelectric composites

1993 ◽  
Vol 48 (12) ◽  
pp. 8578-8582 ◽  
Author(s):  
Ce-Wen Nan ◽  
Fu-Sheng Jin
2009 ◽  
Vol 76 (3) ◽  
Author(s):  
M. C. Ray ◽  
R. C. Batra

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.


2021 ◽  
Author(s):  
Alan Muhafra ◽  
Majd Kosta ◽  
Daniel Torrent Martí ◽  
René Pernas Salomón ◽  
Gal Shmuel

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.


2014 ◽  
Vol 2014 ◽  
pp. 1-14 ◽  
Author(s):  
Ri-Song Qin ◽  
Yi Xiao ◽  
Haitian Lan

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.


2012 ◽  
Vol 53 ◽  
pp. 58-66 ◽  
Author(s):  
R. Guinovart-Díaz ◽  
P. Yan ◽  
R. Rodríguez-Ramos ◽  
J.C. López-Realpozo ◽  
C.P. Jiang ◽  
...  

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