PLANE STRAIN PROBLEM OF PIEZOELECTRIC SOLID WITH ELLIPTIC INCLUSION  

作　　者：戴隆超 郭万林 佘崇民 

机构地区：[1]College of Aerospace Engineering Nanjing University of Aeronautics & Astronautics,College of Aerospace Engineering Nanjing University of Aeronautics & Astronautics,College of Aerospace Engineering Nanjing University of Aeronautics & Astronautics Nanjing 210016 P. R. China,Nanjing 210016 P. R. China,Nanjing 210016 P. R. China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2005年第12期1615-1622,共8页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Nos. 50275073 and 10372044) 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.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：elliptical inclusion transversely isotropic PIEZOELECTRIC complex potential 

分 类 号：O347[理学—固体力学]