具有横观各向同性球形压电夹杂的压电复合材料的有效性质

江冰; 方岱宁

具有横观各向同性球形压电夹杂的压电复合材料的有效性质

江冰,
方岱宁

清华大学工程力学系, 北京 100084

基金项目: 国家自然科学基金资助项目(19891180)

详细信息

作者简介:
江冰(1962~ ),讲师,博士,现在英国Caradiff大学做博士后.

中图分类号: TQ328
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出版历程
- 收稿日期: 1997-12-12
- 刊出日期: 1999-04-15

The Effective Properties of Piezoelectric Composite Materials with Transversely Isotropic Spherical Inclusions

Department of Engineering Mechanics, Tsinghua University, Beijing 100084, P R China

摘要

摘要: 压电复合材料的有效性质是一个十分重要的问题.在分析了一无限大均匀线性非压电介质中含有一个横观各向同性球形压电夹杂问题的基础上,导出了夹杂内的约束应变场和约束电场的解析表达式,进而得到了含横观各向同性球形压电夹杂的压电复合材料的有效电弹模量的稀疏解.本文结果可以用于压电复合材料或智能材料和智能结构的设计与分析.
- 压电复合材料 /
- 夹杂 /
- 约束张量 /
- 有效电弹模量
Abstract: The effective properties of piezoelectric composite materials are very important in engineering.In this paper,the closed-form solutions of the constraint-strain and the constraint-electric-field of a transversely isotropic spherical inclusion in an infinite non-piezoelectric matrix are obtained.The dilute solutions of piezoelectric composite materials with transversely isotropic spherical inclusions are also given.The solutions in the paper can be readily utilized in analysis and design of piezoelectric composite materials or smart materials and smart structures.
- piezoelectric composite materials /
- inclusions /
- constraint-tensors /
- the effective electro-elastic moduli

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参考文献(13)

[1]	Wang B.Three-dimensional analysis of an ellipsoidal inclusion in a piezoelectric material[J].Int J Solids Structures,1992,29(3):293~308.
[2]	Chen T Y.Green's functions and the non-uniform transformation problem in a piezoelectric medium[J].Mechanics Research Communications,1993,20(3):271~278.
[3]	Chen T Y.Some exact relations of inclusions in piezoelectric media[J].Int J Engng Sci,1994,32(3):553~556.
[4]	Dunn M L,Taya M.An analysis of piezoelectric composite materials containing ellipsoidal inhomogeneities[J].Proc R Soc Lond A,1993,443(9):265~287.
[5]	Dunn M L.Electroelastic Green's functions for transversely isotropic piezoelectric media and their application to the solution of inclusion and in homogeneity problems[J].Int J Engng Sci,1994,32(1):119~131.
[6]	Dunn M L,Taya M.Micromechanics predictions of the effective electroelastic moduli of the piezoelectric composites[J].Int J Solids Structures,1993,30(5):161~165.
[7]	Jiang Bing,Fang Daining,Hwang Kehchih.The exact relations among the Eshelby's tensors of the piezoelectric inclusion problems,the pure elastic inclusion problems and the pure dielectric inclusion problems[A].Proc IMMM-97[C].Tsu,Japan:Mie University Press,1997,571~576.
[8]	Budiansky Y.On the elastic moduli of some heterogeneous materials[J].J Mech Phys Solids,1965,13(2):223~227.
[9]	Jiang Bing,Fang Daining,Hwang Kehchih.Analytical solutions of the effective electroelastic moduli of piezoelectric composite materials[A].Proc ICAPC-97'[C].Beijing:Press of Beijing University of Aeronautics and Astronautics,1997,123~129.
[10]	Maugin G A.Continuum Mechanics of Electromagnetic Solids[M].Amsterdam:North-Holland,1988.
[11]	Mura T.Mechanics of Defects in Solids[M].Dordrecht:Martinus Nijhoff Publisher 1987.
[12]	朗道,里弗西兹.连续媒质电动连续[M].北京:高等教育出版社,1956.
[13]	Lines M E,Glass A M.Principles and Applications Ferroelectrics and Related Materials[M].Oxford:Clarendon Press,1997.