Dugdale model solutions for a penny-shaped crack in three-dimensional transversely isotropic piezoelectric media by boundary-integral equation method

Engineering Analysis with Boundary Elements

Volumn 23, Issue 7, 1999, Pages 573-576

  Zhao, M H ^a   Shen, Y P ^b   Liu, G N ^a   Liu, Y J ^a  

^a ZHENGZHOU RESEARCH INSTITUTE OF MECHANICAL ENGINEERING   (China)

^b XI'AN JIAOTONG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY ELEMENT METHOD; CERAMIC MATERIALS; CRACKS; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; PIEZOELECTRIC MATERIALS; PLASTICITY; STRESS ANALYSIS;

BOUNDARY INTEGRAL EQUATION; DUGDALE MODEL; INTEGRAL TRANSFORM;

FRACTURE MECHANICS;

EID: 0032628269     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0955-7997(99)00006-5     Document Type: Article

References (16)

1. Pak Y.E. Linear electro-elastic fracture mechanics of piezoelectric materials. Int. J. Fract. 54:1992;79-100.
2. Suo Z., Kuo C.M., Barnett D.M., Willis J.R. Fracture mechanics for piezoelectric ceramics. J. Mech. Phys. Solids. 40:1992;739-765.
3. Sosa H. Plane problems in piezoelectric media with defects. Int. J. Solids Struct. 28:1991;491-505.
4. Chen M.C., Tang R.J. A closed type solution of hyper-singular integral equation for a penny crack subjected to uniform pressure in an infinite homogeneous elastic solid. Shanghai J. Mech. (in Chinese). 18:1997;248-251.
5. Liang Y.C., Hwu C. Electromechanical analysis of defects in piezoelectric materials. Smart Mater. Struct. 5:1996;314-320.
6. Wang B. Three-dimensional analysis of a flat elliptical crack in a piezoelectric material. Int. J. Engng Sci. 30:1992;781-791.
7. Wang Z.K., Zheng B.L. The general solution of three-dimensional problems in piezoelectric media. Int. J. Sol. Struct. 32:1995;105-115.
8. Wang Z.K. Penny-shaped crack in transversely isotropic piezoelectric materials. Acta Mechanica Sinica. 10:1994;49-60.
9. Wang Z.K., Huang S.H. Fields near elliptical crack tip in piezoelectric ceramics. Engng Fracture Mech. 51:1995;447-456.
10. Zhao M.H., Shen Y.P., Liu Y.J., Liu G.N. Isolated crack in three-dimensional piezoelectric solid. Part I: Solution by Hankel transform. Theor. Appl. Fract. Mech. 26:1997;129-139.
11. Zhao M.H., Shen Y.P., Liu Y.J., Liu G.N. Isolated crack in three-dimensional piezoelectric solid. Part II: Stress intensity factors for circular crack. Theor. Apll. Fract. Mech. 26:1997;141-149.
12. Zhao M.H., Shen Y.P., Liu G.N., Liu Y.J. The method of analysis of cracks in three-dimensional transversely isotropic media: Boundary integral equation approach. Engng Anal. Boundary Elements. 21:1998;169-178.
13. Park S.B., Sun C.T. Effect of electric field on fracture of piezoelectric ceramics. Int. J. Fract. 70:1995;203-216.
14. Gao H., Zhang T., Tong P. Local and global energy release rates for an electrically yielded crack in a piezoelectric ceramic. J. Mech. Phys. Solids. 45:1997;491-510.
15. Ioakimidi N.I. Application of finite-part integrals to the singular equation of crack problems in plane and 3D elasticity. Acta Mechanica. 45:1982;31-47.
16. Olesiak Z., Wnuk M. Plastic energy dissipation due to a penny-shaped crack. Int. J. Fracture Mechanics. 4:1968;383-395.