Applied Mathematics and Mechanics (English Edition) ›› 2018, Vol. 39 ›› Issue (6): 797-812.doi: https://doi.org/10.1007/s10483-018-2336-9

• 论文 • 上一篇    下一篇

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

Yongbin WANG, Junhong GUO   

  1. Department of Mechanics, Inner Mongolia University of Technology, Hohhot 010051, China
  • 收稿日期:2017-07-16 修回日期:2017-11-19 出版日期:2018-06-01 发布日期:2018-06-01
  • 通讯作者: Junhong GUO, E-mail:jhguo@imut.edu.cn E-mail:jhguo@imut.edu.cn
  • 基金资助:

    Projected supported by the National Natural Science Foundation of China (Nos. 11502123 and 11262012) and the Natural Science Foundation of Inner Mongolia Autonomous Region of China (No. 2015JQ01)

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

Yongbin WANG, Junhong GUO   

  1. Department of Mechanics, Inner Mongolia University of Technology, Hohhot 010051, China
  • Received:2017-07-16 Revised:2017-11-19 Online:2018-06-01 Published:2018-06-01
  • Contact: Junhong GUO E-mail:jhguo@imut.edu.cn
  • Supported by:

    Projected supported by the National Natural Science Foundation of China (Nos. 11502123 and 11262012) and 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) 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.

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

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

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