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

作　　者：Yongbin WANG Junhong GUO 

机构地区：[1]Department of Mechanics,Inner Mongolia University of Technology

出　　处：《Applied Mathematics and Mechanics(English Edition)》2018年第6期797-812,共16页应用数学和力学（英文版）

基　　金：Projected supported by the National Natural Science Foundation of China(Nos.11502123 and11262012);the Natural Science Foundation of Inner Mongolia Autonomous Region of China(No.2015JQ01)

摘　　要：A three-phase confocal elliptical cylinder model is proposed to analyze micromechanics of one-dimensional hexagonal piezoelectric quasicrystal （PQC） compos- ites. 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 elec- troelastic 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 self- consistent and Mori-Tanaka methods can predict the effective electroelastic constants of the composites consistently.A three-phase confocal elliptical cylinder model is proposed to analyze micromechanics of one-dimensional hexagonal piezoelectric quasicrystal （PQC） compos- ites. 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 elec- troelastic 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 self- consistent and Mori-Tanaka methods can predict the effective electroelastic constants of the composites consistently.

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

分 类 号：TB332[一般工业技术—材料科学与工程]