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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August 2016
Research-Article
Three-Phase Cylinder Model of One-Dimensional Hexagonal Piezoelectric Quasi-Crystal Composites
Junhong Guo,
Junhong Guo
Department of Mechanics,
Inner Mongolia University of Technology,
Hohhot 010051, China
e-mail: jhguo@imut.edu.cn
Inner Mongolia University of Technology,
Hohhot 010051, China
e-mail: jhguo@imut.edu.cn
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Ernian Pan
Ernian Pan
Fellow ASME
Department of Civil Engineering,
The University of Akron,
Akron, OH 44325-3905
e-mail: pan2@uakron.edu
Department of Civil Engineering,
The University of Akron,
Akron, OH 44325-3905
e-mail: pan2@uakron.edu
Search for other works by this author on:
Junhong Guo
Department of Mechanics,
Inner Mongolia University of Technology,
Hohhot 010051, China
e-mail: jhguo@imut.edu.cn
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
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. Aug 2016, 83(8): 081007 (10 pages)
Published Online: June 2, 2016
Article history
Received:
February 27, 2016
Revised:
May 10, 2016
Citation
Guo, J., and Pan, E. (June 2, 2016). "Three-Phase Cylinder Model of One-Dimensional Hexagonal Piezoelectric Quasi-Crystal Composites." ASME. J. Appl. Mech. August 2016; 83(8): 081007. https://doi.org/10.1115/1.4033649
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