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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

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[J]. 应用数学和力学, 2005, 26(8): 911-920.
引用本文: 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[J]. 应用数学和力学, 2005, 26(8): 911-920.
HU Yuan-tai, LI Guo-qing, JIANG Shu-nong, HU Hong-ping, YANG Jia-shi. Interaction of Electric Charges in a Piezoelectric With Rigid External Cracks[J]. Applied Mathematics and Mechanics, 2005, 26(8): 911-920.
Citation: HU Yuan-tai, LI Guo-qing, JIANG Shu-nong, HU Hong-ping, YANG Jia-shi. Interaction of Electric Charges in a Piezoelectric With Rigid External Cracks[J]. Applied Mathematics and Mechanics, 2005, 26(8): 911-920.

具有刚性双边裂纹的压电介质中的电荷相互作用分析

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

Interaction of Electric Charges in a Piezoelectric With Rigid External Cracks

  • 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.
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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

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