压电基体中部分脱开的刚性导体椭圆夹杂分析

王旭; 沈亚鹏

压电基体中部分脱开的刚性导体椭圆夹杂分析

王旭,
沈亚鹏

西安交通大学工程力学系, 西安710049

基金项目: 国家自然科学基金资助项目(59635140)

详细信息

作者简介:
王旭(1969- ),男,博士研究生,研究方向:断裂力学与细观力学;沈亚鹏(1936- ),男,教授,博士生导师,研究方向:智能结构与系统.

中图分类号: O343.1
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出版历程
- 收稿日期: 2000-03-21
- 修回日期: 2000-10-05
- 刊出日期: 2001-01-15

Analysis of a Partially Debonded Conducting Rigid Elliptical Inclusion in a Piezoelectric Matrix

Department of Engineering Mechanics, Xi'an Jiaotong University, Xi'an 710049, P R China

摘要

摘要: 通过利用八维Stroh公式以及共形映射、解析延拓和奇点分析技术,获得了对一压电基体中已部分脱开的刚性导体椭圆夹杂二维问题的闭合形式全场解答。也推导了一些新的恒等式和求和式,通过这些恒等式及求和式可获得沿界面应力和电位移分布以及刚性夹杂转动的实形式表示。正如所预料的,在脱开界面的端部应力及电位移显现出与在压电材料Griffith界面裂纹的研究中所发现的相似的奇异行为。最后也给出了几个算例以展示所得到解答的一般性以及各种载荷条件、几何参数和机电常数等对界面处应力及电位移分布的影响。
- 全纯函数 /
- Stroh公式 /
- 共形映射 /
- 刚性导体椭圆夹杂
Abstract: A closed-form full-field solution for the problem of a partially debonded conducting rigid elliptical inclusion embedded in a piezoelectric matrix is obtained by employing the eight-dimensional Stroh formalism in conjunction with the techniques of conformal mapping,analytical continuation and singularity analysis.Some new identities and sums for anisotropic piezoelectric media are also derived,through which real-form expressions for the stresses and electric displacements along the interface as well as the rotation of the rigid inclusion can be obtained.As is expected,the stresses and electric displacements at the tips of the debonded part of the interface exhibit the same singular behavior as in the case of a straight Griffith interface crack between dissimilar piezoelectric media.Some numerical examples are presented to validate the correctness of the obtained solution and also to illustrate the generality of the exact solution and the effects of various electromechanical loading conditions,geometry parameters and material constants on the distribution of stresses and electric displacements along the interface.
- holomorphic function /
- Stroh formalism /
- conformal mapping /
- conducting rigid elloptical inclusion

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参考文献(17)

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