两压电介质之间的界面夹杂问题

高存法; 樊蔚勋

两压电介质之间的界面夹杂问题

高存法¹,
樊蔚勋²

1.
北京大学力学与工程科学系, 北京100871;
2.
南京航空航天大学飞行器系, 南京210016

基金项目: 航空科学基金资助项目(98B52017)

详细信息

作者简介:
高存法(1962- ),男,安徽人,副教授,博士;樊蔚勋(1937- ),男,江苏人,教授,博导.

中图分类号: O346.1
计量
- 文章访问数: 2228
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- 被引次数: 0
出版历程
- 收稿日期: 1999-05-26
- 修回日期: 2000-09-28
- 刊出日期: 2001-01-15

An Interface Inclusion Between Two Dissimilar Piezoelectric Materials

GAO Cun-fa¹,
FAN Wei-xun²

1.
Department of Mechanics and Engineering Science, Peking University, Beijing 100871, P R China;
2.
Department of Aircraft, Nanjing University of Aeronautics & Astronautics, Nanjing 210016, P R China

摘要

摘要: 应用Stroh理论,研究了两压电介质之间的刚性介电线夹杂问题。首先该问题被化为Hilbert问题,然后分别给出了压电介质内的复势函数解、夹杂内的电场解和夹杂尖端场的解析表达式。结果表明,在夹杂尖端附近,所有的场变量均呈现奇异性和振荡性,且其强度取决于介质的材料常数和无限场远处的应变。此外,结果还表明,当从夹杂内部趋近夹杂尖端时,夹杂内的电场也呈现奇异性和振荡性。
- 压电材料 /
- 界面夹杂 /
- 复势 /
- 尖端场 /
- Stroh公式
Abstract: The generalized two-dimensional problem of a dielectric rigid line inclusion,at the interface between two dissimilar piezoelectric media subjected to piecewise uniform loads at infinity,is studied by means of the Stroh formalism.The problem was reduced to a Hilbert problem,and then closed-form expressions were obtained,respectively,for the complex potentials in piezoelectric media,the electric field inside the inclusion and the tip fields near the inclusion.It is shown that in the media,all field variables near the inclusion-tip show square root singularity and oscillatory singularity, the intensity of which is dependent on the material constants and the strains at infinity.In addition,it is found that the electric field inside the inclusion is singular and oscillatory too,when approaching the inclusion-tips from inside the inclusion.
- piezoelectric material /
- interface inclusion /
- complex potential /
- tip field /
- Stroh formalism

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参考文献(18)

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