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

doi:10.1007/s10483-018-2336-9

Abstract

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: effective constant, piezoelectric quasicrystal (PQC), artificial mechanical valve, ALE finite element method, fluidsolid interaction, three-phase elliptical cylinder model, generalized self-consistent method

2010 MSC Number:

Yongbin WANG, Junhong GUO. Effective electroelastic constants for three-phase confocal elliptical cylinder model in piezoelectric quasicrystal composites. Applied Mathematics and Mechanics (English Edition), 2018, 39(6): 797-812.

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