Effective electroelastic constants for three-phase confocal elliptical cylinder model in piezoelectric quasicrystal composites

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Abstract

A three-phase confocal elliptical cylinder model is proposed to analyze micromechanics of one-dimensional hexagonal piezoelectric quasicrystal (PQC) composites. Exact solutions of the phonon, phason, and electric fields are obtained by using the conformal mapping combined with the Laurent expansion technique when the model is subject to far-field anti-plane mechanical and in-plane electric loadings. The effective electroelastic constants of several different composites made up of PQC, quasicrystal (QC), and piezoelectric (PE) materials are predicted by the generalized self-consistent method. Numerical examples are conducted to show the effects of the volume fraction and the cross-sectional shape of inclusion (or fiber) on the effective electroelastic constants of these composites. Compared with other micromechanical methods, the generalized selfconsistent and Mori-Tanaka methods can predict the effective electroelastic constants of the composites consistently.

Key words

piezoelectric quasicrystal (PQC) three-phase elliptical cylinder model effective constant generalized self-consistent method 

Chinese Library Classification

O343.7 

2010 Mathematics Subject Classification

52C23 74A60 74B05 74F99 74G05 

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Copyright information

© Shanghai University and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of MechanicsInner Mongolia University of TechnologyHohhotChina

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