AN INTERFACE INCLUSION BETWEEN TWO DISSIMILAR PIEZOELECTRIC MATERIALS  

作　　者：高存法[1] 樊蔚勋[2] 

机构地区：[1]北京大学力学与工程科学系，北京100871 [2]南京航空航天大学飞行器系，南京210016

出　　处：《应用数学和力学》2001年第1期85-92,共8页Applied Mathematics and Mechanics

基　　金：theAeronautics&AstronauticsScienceFoundationofChina ( 98B5 2 0 1 7)

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.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 formalism. 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.

关 键 词：压电材料 界面夹杂 复势 尖端场 Stroh公式 裂纹 压电介质 

分 类 号：TM22[一般工业技术—材料科学与工程] O346.1[电气工程—电工理论与新技术]