AN INTERFACE INCLUSION BETWEEN TWO DISSIMILAR PIEZOELECTRIC MATERIALS

Applied Mathematics and Mechanics (English Edition) ›› 2001, Vol. 22 ›› Issue (1): 96-104.

AN INTERFACE INCLUSION BETWEEN TWO DISSIMILAR PIEZOELECTRIC MATERIALS

高存法¹, 樊蔚勋²

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

收稿日期:1999-05-26 修回日期:2000-09-28 出版日期:2001-01-18 发布日期:2001-01-18
通讯作者: FAN Wei-xun,Member of Editorial Committee,AMM
基金资助:
the Aeronautics & Astronautics Science Foundation of China (98B52017)

AN INTERFACE INCLUSION BETWEEN TWO DISSIMILAR PIEZOELECTRIC MATERIALS

GAO Cun-fa¹, FAN Wei-xun ²

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

Received:1999-05-26 Revised:2000-09-28 Online:2001-01-18 Published:2001-01-18
Supported by:
the Aeronautics & Astronautics Science Foundation of China (98B52017)

摘要/Abstract

摘要： 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 theory. 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.

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 theory. 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.

中图分类号:

O346.1

高存法;樊蔚勋. AN INTERFACE INCLUSION BETWEEN TWO DISSIMILAR PIEZOELECTRIC MATERIALS[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(1): 96-104.

GAO Cun-fa;FAN Wei-xun . AN INTERFACE INCLUSION BETWEEN TWO DISSIMILAR PIEZOELECTRIC MATERIALS[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(1): 96-104.

参考文献

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AN INTERFACE INCLUSION BETWEEN TWO DISSIMILAR PIEZOELECTRIC MATERIALS

AN INTERFACE INCLUSION BETWEEN TWO DISSIMILAR PIEZOELECTRIC MATERIALS

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