A moving crack propagating in a functionally graded magnetoelectroelastic strip under different crack face conditions

被引:12
作者
Fu, Jiawei [1 ,2 ]
Hu, Kegiang [2 ]
Chen, Zengtao [2 ]
Chen, Longmiao [1 ]
Qian, Linfang [1 ]
机构
[1] Nanjing Univ Sci & Technol, Sch Mech Engn, Nanjing 210094, Jiangsu, Peoples R China
[2] Univ New Brunswick, Dept Mech Engn, Fredericton, NB E3B 5A3, Canada
关键词
Crack kinking; Moving crack; Functionally graded magnetoelctroelastic strip; Impermeable crack; Permeable crack; Field intensity factor; MODE-III CRACK; FRACTURE-MECHANICS; INTERFACE; KINKING; BEHAVIOR; GROWTH;
D O I
10.1016/j.tafmec.2014.01.007
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
An anti-plane moving crack problem in a functionally graded magnetoelectroelastic strip under magneto-electrically impermeable or permeable conditions is investigated. Fourier cosine transforms are applied to reduce the mixed-boundary-value problem to dual integral equations and then Fredholm integral equations of the second kind. The equations can be solved numerically and field intensity factors are determined. The effects of the geometric size of the composite, the functionally graded parameter and the crack moving velocity on the field intensity factors are analyzed. Also the crack kinking phenomena under impermeable and permeable conditions are discussed. The results show that the coupled magneto-electrical field has great effects on the stress intensity factor and the probable kinking direction will be affected by the moving velocity, the thickness of the strip as well as crack surface magneto-electrical boundary condition remarkably. (C) 2014 The Authors. Published by Elsevier Ltd.
引用
收藏
页码:16 / 25
页数:10
相关论文
共 44 条
[21]   Constant moving crack in a magnetoelectroelastic material under anti-plane shear loading [J].
Hu, KQ ;
Li, GQ .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2005, 42 (9-10) :2823-2835
[22]   Propagation of an anti-plane moving crack in a functionally graded piezoelectric strip [J].
Jin, B ;
Soh, AK ;
Zhong, Z .
ARCHIVE OF APPLIED MECHANICS, 2003, 73 (3-4) :252-260
[23]   Some basic fracture mechanics concepts in functionally graded materials [J].
Jin, ZH ;
Batra, RC .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1996, 44 (08) :1221-1235
[24]   Approximate description of crack kinking and curving [J].
Karihaloo, B.L. ;
Keer, L.M. ;
Nemat-Nasser, S. ;
Oranratnachai, A. .
Journal of Applied Mechanics, Transactions ASME, 1981, 48 (03) :515-519
[25]   On the dynamic propagation of an anti-plane shear crack in a functionally graded piezoelectric strip [J].
Kwon, SM .
ACTA MECHANICA, 2004, 167 (1-2) :73-89
[26]  
Li CY, 2002, P ROY SOC A-MATH PHY, V458, P381, DOI 10.1098/rspa.2001.0873
[27]   Magnetoelectroelastic multi-inclusion and inhomogeneity problems and their applications in composite materials [J].
Li, JY .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2000, 38 (18) :1993-2011
[28]   Dynamic analysis of a cracked magnetoelectroelastic medium under antiplane mechanical and inplane electric and magnetic impacts [J].
Li, XF .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2005, 42 (11-12) :3185-3205
[29]   A moving dislocation in a magneto-electro-elastic solid [J].
Liu, JX ;
Soh, AK ;
Fang, DN .
MECHANICS RESEARCH COMMUNICATIONS, 2005, 32 (05) :504-513
[30]   Mode III crack problem in a functionally graded magneto-electro-elastic strip [J].
Ma, Li ;
Li, Ha ;
Abdelmoula, Radhi ;
Wu, Lin-Zhi .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2007, 44 (17) :5518-5537