The dynamic behavior of two collinear interface cracks in magneto-electro-elastic materials

被引:77
作者
Zhou, ZG [1 ]
Wu, LZ [1 ]
Wang, B [1 ]
机构
[1] Harbin Inst Technol, Ctr Composite Mat, Harbin 150001, Peoples R China
基金
中国国家自然科学基金; 美国国家科学基金会;
关键词
magneto-electro-elastic materials; interface crack; triple integral equations;
D O I
10.1016/j.euromechsol.2004.10.006
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
In this paper, the dynamic behavior of two collinear symmetric interface cracks between two dissimilar magneto-electroelastic material half planes under the harmonic anti-plane shear waves loading is investigated by Schmidt method. By using the Fourier transform, the problem can be solved with a set of triple integral equations in which the unknown variable is the jump of the displacements across the crack surfaces. To solve the triple integral equations, the jump of the displacements across the crack surface is expanded in a series of Jacobi polynomials. Numerical solutions of the stress intensity factor, the electric displacement intensity factor and the magnetic flux intensity factor are given. The relations among the electric filed, the magnetic flux field and the stress field are obtained. (c) 2004 Elsevier SAS. All rights reserved.
引用
收藏
页码:253 / 262
页数:10
相关论文
共 26 条
[21]   Closed-form solutions for the magnetoelectric coupling coefficients in fibrous composites with piezoelectric and piezomagnetic phases [J].
Wu, TL ;
Huang, JH .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2000, 37 (21) :2981-3009
[22]  
Yan W.F., 1967, SIAM J APPL MATH, V15, P219
[23]   Two collinear Griffith cracks subjected to uniform tension in infinitely long strip [J].
Zhou, ZG ;
Bai, YY ;
Zhang, XW .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1999, 36 (36) :5597-5609
[24]   Two collinear interface cracks in magneto-electro-elastic composites [J].
Zhou, ZG ;
Wang, B ;
Sun, YG .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2004, 42 (11-12) :1155-1167
[25]   Investigation of a Griffith crack subject to anti-plane shear by using the non-local theory [J].
Zhou, ZG ;
Han, JC ;
Du, SY .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1999, 36 (26) :3891-3901
[26]   Two collinear anti-plane shear cracks in a piezoelectric layer bonded to dissimilar half spaces [J].
Zhou, ZG ;
Wang, B ;
Cao, MS .
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 2001, 20 (02) :213-226