SCATTERING OF HARMONIC ANTI-PLANE SHEAR STRESS WAVES BY A CRACK IN FUNCTIONALLY GRADED PIEZOELECTRIC/PIEZOMAGNETIC MATERIALS  

作　　者：Liang Jun 

机构地区：[1]P. O.Box 1247, Center for Composite Materials, Harbin Institute of Technology, Harbin 150001, China

出　　处：《Acta Mechanica Solida Sinica》2007年第1期75-86,共12页固体力学学报（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Nos.90405016 and 10572044);the Special Research Fund for the Doctoral Program of Higher Education (No.2004021334)

摘　　要：In this paper, the dynamic behavior of a permeable crack in functionally graded piezoelectric/piezomagnetic materials is investigated. To make the analysis tractable, it is assumed that the material properties vary exponentially with the coordinate parallel to the crack. By using the Fourier transform, the problem can be solved with the help of a pair of dual integral equations in which the unknown is the jump of displacements across the crack surfaces. These equations are solved to obtain the relations between the electric filed, the magnetic flux field and the dynamic stress field near the crack tips using the Schmidt method. Numerical examples are provided to show the effect of the functionally graded parameter and the circular frequency of the incident waves upon the stress, the electric displacement and the magnetic flux intensity factors of the crack.In this paper, the dynamic behavior of a permeable crack in functionally graded piezoelectric/piezomagnetic materials is investigated. To make the analysis tractable, it is assumed that the material properties vary exponentially with the coordinate parallel to the crack. By using the Fourier transform, the problem can be solved with the help of a pair of dual integral equations in which the unknown is the jump of displacements across the crack surfaces. These equations are solved to obtain the relations between the electric filed, the magnetic flux field and the dynamic stress field near the crack tips using the Schmidt method. Numerical examples are provided to show the effect of the functionally graded parameter and the circular frequency of the incident waves upon the stress, the electric displacement and the magnetic flux intensity factors of the crack.

关 键 词：functionally graded piezoelectric/piezomagnetic materials CRACK stress wave 

分 类 号：TM282[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]