具有刚性双边裂纹的压电介质中的电荷相互作用分析

胡元太; 李国清; 蒋树农; 胡洪平; 杨嘉实

具有刚性双边裂纹的压电介质中的电荷相互作用分析

中南大学力学与传感技术研究所,长沙 410083;2.华中科技大学力学系,武汉 430074;3.内布拉斯加大学工程力学系,林肯 68588NE,美国

基金项目: 国家自然科学基金资助项目(10172036);教育部留学回国人员科研启动基金资助项目

详细信息

作者简介:
胡元太(1964- ),教授,博士(Fax:+86-731-5571736;E-mail:hudeng@263.net).

中图分类号: O346.1
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出版历程
- 收稿日期: 2004-08-05
- 修回日期: 2005-04-11
- 刊出日期: 2005-08-15

Interaction of Electric Charges in a Piezoelectric With Rigid External Cracks

Institute of Mechanics and Sensing Technology, Central South University, Changsha 410083, P. R. China;

摘要

摘要: 利用Stroh方法，研究了含双边固定导电裂纹的二维压电体在广义线力作用下的Green函数．首先分析的是因压电性和边界极化电荷所引起的作用在自由电荷上的Coulomb力．然后，再分析了双边裂纹附近的两个奇异点之间的相互作用问题（其中，至少一个奇异点处存在自由电荷）．数值计算表明：当两个或多个奇点互相靠近且奇点中至少存在一个自由电荷时，Coulomb力将明显影响压电介质内的力电场，这时的Coulomb力将不能再被忽略掉．所得结果不仅适用于平面和反平面问题，也适用于面内变形与面外变形相耦合的情况．
- 双边裂纹 /
- 强度因子 /
- Green函数 /
- Coulomb力
Abstract: Using Stroh's formalism simple explicit expressions of Green's functions for a 2D piezoelectric body with two semi-infinite fixed conductor cracks subjected to a generalized line force were given. The Coulomb force acting on the free line charge due to the piezoelectricity and the distributed bo undary polarization charges was discussed at first. Interactions between two singularities with free charge (s) located in aregion with external cracks were studied, too. The numerical results show that the Coulomb force for two or more singularities with one free charge at least will have much influence on the electr omechanical fields in piezoelectric media when these singularities move closely with each other and therefore cannot be over looked again. The solutions obtained are valid not only for plane and anti-plane problems but also for coupled problems between in-plane and out-of-plane deformations.
- external crack /
- intensity factor /
- Green’s function /
- Coulomb force

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参考文献(15)

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