Towards a fracture mechanics for brittle piezoelectric and dielectric materials

被引:139
作者
McMeeking, RM [1 ]
机构
[1] Univ Calif Santa Barbara, Dept Mech & Environm Engn, Santa Barbara, CA 93106 USA
[2] Univ Calif Santa Barbara, Dept Mat, Santa Barbara, CA 93106 USA
基金
美国国家科学基金会;
关键词
charge separation; cracks; dielectrics; electric fields; energy release rate; piezoelectrics;
D O I
10.1023/A:1007652001977
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A theoretical fracture mechanics for brittle piezoelectric and dielectric materials is developed consistent with standard features of elasticity and dielectricity. The influence of electric field and mechanical loading is considered in this approach and a Griffith style energy balance is used to establish the relevant energy release rates. Results an given for a finite crack in an infinite isotropic dielectric and for steady state cracking in a piezoelectric strip. In the latter problem, the effect of charge separation in the material and discharge in the crack are considered. Observations of crack behavior in piezoelectrics under combined mechanical and electrical load are discussed to assess which features of the theory are useful.
引用
收藏
页码:25 / 41
页数:17
相关论文
共 41 条
[1]  
[Anonymous], THEORY ELASTICITY
[2]  
[Anonymous], STRESS ANAL CRACKS H
[3]   MATRIX FRACTURE IN FIBER-REINFORCED CERAMICS [J].
BUDIANSKY, B ;
HUTCHINSON, JW ;
EVANS, AG .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1986, 34 (02) :167-189
[4]   ELECTRIC-FIELD-INDUCED FATIGUE-CRACK GROWTH IN PIEZOELECTRICS [J].
CAO, HC ;
EVANS, AG .
JOURNAL OF THE AMERICAN CERAMIC SOCIETY, 1994, 77 (07) :1783-1786
[5]  
CHEREPANOV GP, 1979, MECH BRITTLE FRACTUR, P98
[6]  
DEEG WF, 1980, ANAL DISLOCATION CRA
[7]   YIELDING OF STEEL SHEETS CONTAINING SLITS [J].
DUGDALE, DS .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1960, 8 (02) :100-104
[9]  
Eringen A. C., 1990, ELECTRODYNAMICS CONT
[10]   THE DETERMINATION OF THE ELASTIC FIELD OF AN ELLIPSOIDAL INCLUSION, AND RELATED PROBLEMS [J].
ESHELBY, JD .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1957, 241 (1226) :376-396