Two collinear Mode-I cracks in piezoelectric/piezomagnetic materials

被引:4
作者
Zhou, Zhen-Gong [1 ]
Wang, Jia-Zhi [1 ]
Wu, Lin-Zhi [1 ]
机构
[1] Harbin Inst Technol, Ctr Composite Mat & Struct, Harbin 150080, Peoples R China
关键词
crack; piezoelectric/piezomagnetic materials; Fourier integral transform;
D O I
10.12989/sem.2008.29.1.055
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
In this paper, the behavior of two collinear Mode-I cracks in piezoelectric/piezomagnetic materials subjected to a uniform tension loading was investigated by the generalized Almansi's theorem. Through the Fourier transform, the problem can be solved with the help of two pairs of triple integral equations, in which the unknown variables were the jumps of displacements across the crack surfaces. To solve the triple integral equations, the jumps of displacements across the crack surfaces were directly expanded as a series of Jacobi polynomials to obtain the relations among the electric displacement intensity factors, the magnetic flux intensity factors and the stress intensity factors at the crack tips. The interaction of two collinear cracks was also discussed in the present paper.
引用
收藏
页码:55 / 75
页数:21
相关论文
共 33 条
[1]   MAGNETOELECTRIC EFFECT IN PIEZOELECTRIC MAGNETOSTRICTIVE MULTILAYER (2-2) COMPOSITES [J].
AVELLANEDA, M ;
HARSHE, G .
JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES, 1994, 5 (04) :501-513
[2]   MAGNETOELECTRIC EFFECT IN FIBROUS COMPOSITES WITH PIEZOELECTRIC AND PIEZOMAGNETIC PHASES [J].
BENVENISTE, Y .
PHYSICAL REVIEW B, 1995, 51 (22) :16424-16427
[3]  
Chen WQ, 2004, INT J ENG SCI, V42, P1361, DOI [10.1016/j.ijengsci.2004.04.002, 10.1016/j.ijengsei.2004.04.002]
[4]   The Green function for a piezoelectric piezomagnetic magnetoelectric anisotropic elastic medium with an elliptic hole or rigid inclusion [J].
Chung, MY ;
Ting, TCT .
PHILOSOPHICAL MAGAZINE LETTERS, 1995, 72 (06) :405-410
[5]  
ERDELVI A, 1954, TABLES INTEGRAL TRAN, V1
[6]   Interfacial crack problems in magneto-electroelastic solids [J].
Gao, CF ;
Tong, P ;
Zhang, TY .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2003, 41 (18) :2105-2121
[7]   Fracture analysis of electromagnetic thermoelastic solids [J].
Gao, CF ;
Kessler, H ;
Balke, H .
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS, 2003, 22 (03) :433-442
[8]   Crack problems in magnetoelectroelastic solids. Part II: general solution of collinear cracks [J].
Gao, CF ;
Kessler, H ;
Balke, H .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2003, 41 (09) :983-994
[9]   Crack problems in magnetoelectroelastic solids. Part I: exact solution of a crack [J].
Gao, CF ;
Kessler, H ;
Balke, H .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2003, 41 (09) :969-981
[10]  
GRADSHTEYN IS, 1980, TABLE OFINTEGRAL SER