A non-conventional approach for crack problems in piezoelectric media under electromechanical loading

被引：0
作者：
Erasmo Viola
Claudia Belmonte
Giuseppe Viola
机构：
[1] University of Bologna,DISTART Department, Faculty of Engineering
[2] Queen Mary University of London,Department of Materials
来源：
International Journal of Fracture | 2009年 / 157卷
关键词：
Piezoelectric; Electromechanical; Analytical methods; Fracture;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper the elastostatic solution of an inclined crack problem has been analyzed. The approach is analogous to the one proposed over the past years for orthotropic materials by Piva andViola (1988) (Eng Fract Mech, 29: 535–548), and it may be considered an alternative to the mathematical formalisms currently used. A general expression of the stress field is determined in terms of complex potentials. The stress distribution and the displacement field in the proximity of the crack tip are finally obtained. An expression of the energy release rate is provided in terms of the field intensity factors. Numerical results are presented and discussed under different remote electro-mechanical loading conditions and varying the crack inclination. Particular attention has been focused on the effect of the lateral load on the fracture quantities and on the direction of the incipient branching angle.
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页码：175 / 192
页数：17
相关论文
共 106 条
[1]  
Carloni C(2004)Biaxial load effect on crack initiation for orthotropic materials Meccanica 39 331-344
[2]  
Piva A(2003)Recent development and applications of invariant integrals Appl Mech Rev 56 515-552
[3]  
Viola E(1994)The effects of crack face boundary conditions on the fracture mechanics of piezoelectric solids Eng Fract Mech 48 25-39
[4]  
Chen YH(1963)On the crack extension in plates under plane loading and transverse shear J Basic Eng 85 519-527
[5]  
Lu TG(2001)On the intersonic crack propagation in an orthotropic medium Int J Fract 112 69-85
[6]  
Dunn ML(1972)Energy flux into the tip of an extending crack in an elastic solid J Elast 2 341-349
[7]  
Erdogan F(2000)Effects of an electric field on the fracture toughness of poled lead zirkonate titanate ceramics J Am Ceram Soc 83 1215-1218
[8]  
Sih GC(2005)Efficient boundary element analysis of crack in 2D piezoelectric structures Int J Solids Struct 42 2399-2416
[9]  
Federici L(2003)Finite element analysis of cracks in piezoelectric materials taking into account the permittivity of the crack medium Eng Fract Mech 70 1399-1413
[10]  
Nobile L(1994)A new electric boundary condition of electric fracture mechanics and its applications Eng Fract Mech 47 793-802
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