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

Applied Mathematics and Mechanics(English Edition) 2001年第1期22卷 35-52页

作者： WANG Xu(王旭) SHEN Ya-peng(沈亚鹏) Department of Engineering Mechanics Xi'' an Jiaotong University Xi''an 710049 P R China Department of Engineering Mechanics Xi'' an Jiaotong University Xi''an 710049 P R China

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 stuns 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 con 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 os 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 eletromechanical loading conditions, geometry parameters and material constants on the distribution of stresses and electric displacements along the interface.

关键词： holomorphic function stroh formula conformal mapping conducting rigid elloptical inclusion

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AN INTERFACE INCLUSION BETWEEN TWO DISSIMILAR PIEZOELECTRIC MATERIALS

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Applied Mathematics and Mechanics(English Edition) 2001年第1期22卷 96-104页

作者： GAO Cun-fa(高存法) FAN Wei-xun(樊蔚勋) Department of Mechanics and Engineering Science Peking University Beijing 100871 P R China Department of Aircraft Nanjing University of Aeronautics & Astronautics Nanjing 210016 P R China

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, far 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.

关键词： piezoelectric material interface inclusion complex potential tip field stroh formula

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