含界面电极压电介质的Green函数

高存法; H·巴尔克

含界面电极压电介质的Green函数

德累斯顿理工大学固体力学研究所,德累斯顿 01062,德国

基金项目: 德国洪堡基金资助项目

详细信息

作者简介:
高存法(1962- ),男,安徽灵壁人,副教授,博士(联系人.目前地址:香港科技大学机械工程系,清水湾,九龙,中国香港.Tel:+852-2358-8657;Fax:+852-2358-1543;E-mail:cfgao@yahoo.com).

中图分类号: O343；O482
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出版历程
- 收稿日期: 2003-03-02
- 修回日期: 2004-09-25
- 刊出日期: 2005-02-15

Green’s Functions of Internal Electrodes Between Two Dissimilar Piezoelectric Media

Institute of Solid Mechanics, Dresden University of Technology 01062, Dresden, Germany

摘要

摘要: 研究了由两个不同压电材料和一半无限长电极组成的复合材料系统的广义二维问题．基于Stroh公式，提供了当一个线力、线电荷和一个线电偶极子施加在电极端附近时，精确的Green函数解．进一步地，获得了相应的场强度系数．这些结果可作为边界元的基本解，以分析更加复杂的压电复合材料断裂问题．
- 压电复合材料 /
- 内电极 /
- Green函数 /
- 耦合场
Abstract: The generalized 2D problem of a half-infinite interfacial electrode layer between two arbitrary piezoelectric half-spaces is studied.Based on the Stroh formalism,exact expressions for the Green's functions of a line force,a line charge and a line electric dipole applied at an arbitrary pointnear the electrode edge,were presented,respectively.The corresponding solutions for the intensity factors of fields were also obtained in an explicit form.These results can be used as the foundational solutions in boundary element method (BEM) to solve more complicated fracture problems of piezoelectric composites.
- piezoelectric material /
- internal electrode /
- Green.s function /
- coupled field

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参考文献(12)

[1]	Winzer S R,Shankar N,Ritter A P.Designing cofired multilayer electrostrictive actuators for reliability[J].J Am Ceram Soc,1989,72(11)：2246—2257. doi: 10.1111/j.1151-2916.1989.tb06069.x
[2]	Yang W,Suo Z.Cracking in ceramic actuators caused by electrostriction[J].J Mech Phys Solids, 1994,42(4)：649—663. doi: 10.1016/0022-5096(94)90056-6
[3]	Hao T H,Gong X,Suo Z.Fracture mechanics for the design of ceramic multiplayer actuators[J].J Mech Phys Solids,1996,44(1)：23—48. doi: 10.1016/0022-5096(95)00068-2
[4]	Dos Santos e Lucato S L,Lupascu D C,Kamlah M,et al.Constraint-induced crack initiation at electrode edges in piezoelectric ceramics[J].Acta Mater,2001,49(14)：2751—2759. doi: 10.1016/S1359-6454(01)00169-0
[5]	Deng D, Meguid S A.Analysis of conducting rigid inclusion at the interface of two dissimilar piezoelectric materials[J].J Appl Mech,1998,65(1)：76—84. doi: 10.1115/1.2789049
[6]	Ru C Q.Exact solution for finite electrode layers embedded at the interface of two piezoelectric half-planes[J].J Mech Phys Solids,2000，48(4)：693—708. doi: 10.1016/S0022-5096(99)00056-3
[7]	Wang X,Shen Y P.Exact solution for mixed boundary value problems at anisotropic piezoelectric bimaterial interface and unification of various interface defects[J].Internat J Solids and Structures,2002,39(6)：1591—1619. doi: 10.1016/S0020-7683(01)00273-6
[8]	Suo Z.Singularities,interfaces and Cracks in dissimilar anisotropic media[J].Proc R Soc A,1990,427(1873)：331—358. doi: 10.1098/rspa.1990.0016
[9]	Suo Z,Kuo C -M,Barnett D M,et al. Fracture mechanics for piezoelectric ceramics[J].J Mech Phys Solids,1992,40(4)：739—765. doi: 10.1016/0022-5096(92)90002-J
[10]	Gao C F,Wang M Z.Green's functions of an interfacial crack between two dissimilar piezoelectric media[J].Internat J Solids and Structures,2001,38：5323—5334. doi: 10.1016/S0020-7683(00)00341-3
[11]	Muskhelishvili N I.Some Basic Problems of Mathematical Theory of Elasticity[M].Leyden:Noordhoff,1975.
[12]	Wang J W,Kuang Z B.The interaction between crack and electric dipole of piezoelectricity[J].Acta Mechanica Solida Sinica,2000,13(3)：283—289.

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文章访问数: 2169
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含界面电极压电介质的Green函数

作者简介:
高存法(1962- ),男,安徽灵壁人,副教授,博士(联系人.目前地址:香港科技大学机械工程系,清水湾,九龙,中国香港.Tel:+852-2358-8657;Fax:+852-2358-1543;E-mail:cfgao@yahoo.com).

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Green’s Functions of Internal Electrodes Between Two Dissimilar Piezoelectric Media

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含界面电极压电介质的Green函数

作者简介: 高存法(1962- ),男,安徽灵壁人,副教授,博士(联系人.目前地址:香港科技大学机械工程系,清水湾,九龙,中国香港.Tel:+852-2358-8657;Fax:+852-2358-1543;E-mail:cfgao@yahoo.com).

计量

出版历程

Green’s Functions of Internal Electrodes Between Two Dissimilar Piezoelectric Media

计量

出版历程

目录

作者简介:
高存法(1962- ),男,安徽灵壁人,副教授,博士(联系人.目前地址:香港科技大学机械工程系,清水湾,九龙,中国香港.Tel:+852-2358-8657;Fax:+852-2358-1543;E-mail:cfgao@yahoo.com).