Dynamic behavior of two collinear interface cracks between two dissimilar functionally graded piezoelectric/piezomagnetic material strips  

作　　者：张培伟 周振功 王彪 

机构地区：[1]Center for Composite Materials and Structures,Harbin Institute of Technology [2]School of Physics and Engineering,Sun Yat-Sen University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2007年第5期615-625,共11页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Nos.10572043,10572155);the Natural Science Foundation with Excellent Young Investigators of Heilongjiang Province(No.JC04-08)

摘　　要：The dynamic interaction of two collinear interface cracks between two dissimilar functionally graded piezoelectric/piezomagnetic material strips subjected to the anti-plane shear harmonic stress waves was investigated. By using the Fourier transform, the problem can be solved with the help of a pair of triple integral equations in which the unknown variable is jump of displacement across the crack surfaces. These equations are solved using the Schmidt method. Numerical examples are provided to show the effect of the functionally graded parameter, the circular frequency of the incident waves and the thickness of the strip upon stress, electric displacement and magnetic flux intensity factors of cracks.The dynamic interaction of two collinear interface cracks between two dissimilar functionally graded piezoelectric/piezomagnetic material strips subjected to the anti-plane shear harmonic stress waves was investigated. By using the Fourier transform, the problem can be solved with the help of a pair of triple integral equations in which the unknown variable is jump of displacement across the crack surfaces. These equations are solved using the Schmidt method. Numerical examples are provided to show the effect of the functionally graded parameter, the circular frequency of the incident waves and the thickness of the strip upon stress, electric displacement and magnetic flux intensity factors of cracks.

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

分 类 号：O346.1[理学—固体力学] TM282[理学—力学]