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Research Papers

Three-Phase Cylinder Model of One-Dimensional Hexagonal Piezoelectric Quasi-Crystal Composites

[+] Author and Article Information
Junhong Guo

Department of Mechanics,
Inner Mongolia University of Technology,
Hohhot 010051, China
e-mail: jhguo@imut.edu.cn

Ernian Pan

Fellow ASME
Department of Civil Engineering,
The University of Akron,
Akron, OH 44325-3905
e-mail: pan2@uakron.edu

1Corresponding author.

Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received February 27, 2016; final manuscript received May 10, 2016; published online June 2, 2016. Assoc. Editor: M Taher A Saif.

J. Appl. Mech 83(8), 081007 (Jun 02, 2016) (10 pages) Paper No: JAM-16-1113; doi: 10.1115/1.4033649 History: Received February 27, 2016; Revised May 10, 2016

A three-phase cylinder model (inclusion/matrix/composite) is proposed and analyzed for one-dimensional (1D) piezoelectric quasi-crystal composites. The exact closed-form solutions of the stresses of the phonon and phason fields and the electric field are derived under far-field antiplane mechanical and in-plane electric loadings via the Laurent expansion technique. Numerical results show that the thickness and material properties of the interphase layer can significantly affect the induced fields in the inclusion and interphase layer. Furthermore, the generalized self-consistent method is applied to predict analytically the effective moduli of the piezoelectric quasi-crystal composites. It is observed from the numerical examples that the effective moduli of piezoelectric quasi-crystal composites are very sensitive to the fiber volume fraction as well as to the individual material properties of the fiber and matrix. By comparing QC/PE with QC1/QC2, PE/QC, and PZT-7/epoxy, we found that using QC as fiber could, in general, enhance the effective properties, a conclusion which is in agreement with the recent experimental results.

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Figures

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Fig. 1

Three-phase PQC cylinder model

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Fig. 2

Variations of the stresses of phonon and phason fields and the electric field with C44M/C44I in the inclusion of the three-phase PQC cylinder under different far-field loads and for different radius ratios b/a

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Fig. 3

Variations of the stresses of phonon and phason fields and the electric field in the inclusion, matrix, and composite under different far-field loads and for different shear modulus ratios

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Fig. 4

Variations of the stresses of phonon and phason fields and the electric field in the inclusion, matrix, and composite under different far-field loads and for different coupling coefficient ratios

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Fig. 5

Variations of the effective moduli of the two-phase PQC composite with fiber volume fraction f = (a/b)2

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