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PLANE STRAIN PROBLEM OF PIEZOELECTRIC SOLID WITH ELLIPTIC INCLUSION
作者姓名:戴隆超  郭万林  佘崇民
作者单位:College of Aerospace Engineering, Nanjing University of Aeronautics & Astronautics, Nanjing 210016, P. R. China
基金项目:Project supported by the National Natural Science Foundation of China ( Nos. 50275073 and 10372044) and the National Aeronautics Science Foundation of China (No. 03B5201 )
摘    要:By using the complex variables function theory, a plane strain electro-elastic analysis was performed on a transversely isotropic piezoelectric material containing an elliptic elastic inclusion, which is subjected to a uniform stress field and a uniform electric displacement loads at infinity. Based on the present finite element results and some related theoretical solutions, an acceptable conjecture was found that the stress field is constant inside the elastic inclusion. The stress field solutions in the piezoelectric matrix and the elastic inclusion were obtained in the form of complex potentials based on the impermeable electric boundary conditions.

关 键 词:平面变形问题  压电固体  椭圆内含物  联合电势  横观各向同性  弹性力学
文章编号:0253-4827(2005)12-1615-08
收稿时间:2003-11-18
修稿时间:2005-08-17

Plane strain problem of piezoelectric solid with elliptic inclusion
Long-chao Dai,Wan-lin Guo,Chong-min She.PLANE STRAIN PROBLEM OF PIEZOELECTRIC SOLID WITH ELLIPTIC INCLUSION[J].Applied Mathematics and Mechanics(English Edition),2005,26(12):1615-1622.
Authors:Long-chao Dai  Wan-lin Guo  Chong-min She
Institution:College of Aerospace Engineering, Nanjing University of Aeronautics & Astronautics,Nanjing 210016, P. R. China
Abstract:By using the complex variables function theory, a plane strain electro-elastic analysis was performed on a transversely isotropic piezoelectric material containing an elliptic elastic inclusion, which is subjected to a uniform stress field and a uniform electric displacement loads at infinity. Based on the present finite element results and some related theoretical solutions, an acceptable conjecture was found that the stress field is constant inside the elastic inclusion. The stress field solutions in the piezoelectric matrix and the elastic inclusion were obtained in the form of complex potentials based on the impermeable electric boundary conditions.
Keywords:elliptical inclusion  transversely isotropic  piezoelectric  complex potential
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