ANALYSIS OF A PARTIALLY DEBONDED CONDUCTING RIGID ELLIPTICAL INCLUSION IN A PIEZOELECTRIC MATRIX

Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (1): 35-52.

ANALYSIS OF A PARTIALLY DEBONDED CONDUCTING RIGID ELLIPTICAL INCLUSION IN A PIEZOELECTRIC MATRIX

王旭, 沈亚鹏

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

收稿日期:2000-03-21 修回日期:2000-10-05 出版日期:2001-01-18 发布日期:2001-01-18
通讯作者: SHEN Ya-peng,Member of Editorial Committee,AMM
基金资助:
the National Natural Science Foundation of China (59635140)

ANALYSIS OF A PARTIALLY DEBONDED CONDUCTING RIGID ELLIPTICAL INCLUSION IN A PIEZOELECTRIC MATRIX

WANG Xu, SHEN Ya-peng

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

Received:2000-03-21 Revised:2000-10-05 Online:2001-01-18 Published:2001-01-18
Supported by:
the National Natural Science Foundation of China (59635140)

摘要/Abstract

摘要： 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 formula 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.

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 formula 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.

中图分类号:

O346.1

王旭;沈亚鹏. ANALYSIS OF A PARTIALLY DEBONDED CONDUCTING RIGID ELLIPTICAL INCLUSION IN A PIEZOELECTRIC MATRIX[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(1): 35-52.

WANG Xu;SHEN Ya-peng . ANALYSIS OF A PARTIALLY DEBONDED CONDUCTING RIGID ELLIPTICAL INCLUSION IN A PIEZOELECTRIC MATRIX[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(1): 35-52.

参考文献

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ANALYSIS OF A PARTIALLY DEBONDED CONDUCTING RIGID ELLIPTICAL INCLUSION IN A PIEZOELECTRIC MATRIX

ANALYSIS OF A PARTIALLY DEBONDED CONDUCTING RIGID ELLIPTICAL INCLUSION IN A PIEZOELECTRIC MATRIX

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