Closed-form solution for a piezoelectric strip with two collinear cracks normal to the strip boundaries

European Journal of Mechanics, A/Solids

Volumn 21, Issue 6, 2002, Pages 981-989

  Li, Xian Fang ^a,b  

^a HUNAN NORMAL UNIVERSITY   (China)

^b NATIONAL UNIVERSITY OF DEFENSE TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

CRACKS; ELECTRIC LOADS; ELECTROSTATICS; FOURIER TRANSFORMS; INTEGRAL EQUATIONS; STRESS ANALYSIS;

FREDHOLM INTEGRAL EQUATIONS; PIEZOELECTRIC STRIPS; STRIP BOUNDARIES;

PIEZOELECTRIC MATERIALS;

EID: 2942611376     PISSN: 09977538     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0997-7538(02)01241-X     Document Type: Article

References (21)

1. Dascalu C., Maugin G.A. Energy-release rates and path-independent integrals in electroelastic crack propagation. Int. J. Engrg. Sci. 32:1994;755-765.
2. Deng W., Meguid S.A. Closed form solutions for partially debonded circular inclusion in piezoelectric materials. Acta Mech. 137:1999;167-181.
3. Dunn M.L. The effects of crack face boundary conditions on the fracture mechanics of piezoelectric solids. Eng. Fract. Mech. 48:1994;25-39.
4. Gao H., Zhang T.-Y., Tong P. Local and global the energy release rates for an electrically yielded crack in a piezoelectric ceramic. J. Mech. Phys. Solids. 45:1997;491-510.
5. Hou M.-S., Mei L.-Y. Problems of antiplane strain of electrically- permeable interface crack between bonded dissimilar piezoelectric materials. Chinese Sci. Bull. 43:1998;341-345.
6. Kwon S.M., Lee K.Y. Analysis of stress and electric fields in a rectangular piezoelectric body with a center crack under anti-plane shear loading. Int. J. Solids Structures. 37:2000;4859-5869.
7. Li S., Cao W., Cross L.E. Stress and electric displacement distribution near Griffith's type III crack tips in piezoceramics. Mater. Lett. 10:1990;219-222.
8. Li X.-F., Duan X.-Y. Closed-form solution for a mode-III crack at the mid-plane of a piezoelectric layer. Mech. Res. Comm. 28:2001;703-710.
9. Muskhelisvili N.I. Singular Integral Equations. 1953;Noordhoff, Groningen.
10. Narita F., Shindo Y. The interface crack problem for bonded piezoelectric and orthotropic layers under antiplane shear loading. Int. J. Fract. 98:1999;87-101.
11. Pak Y.E. Crack extension force in a piezoelectric material. J. Appl. Mech. 57:1990;647-653.
12. Park S., Sun C.-T. Fracture criteria for piezoelectric ceramics. J. Am. Ceram. Soc. 78:1995;1745-1780.
13. Shin J.W., Kwon S.M., Lee K.Y. Eccentric crack in a piezoelectric strip under electromechanical loading. J. Appl. Mech. 67:2000;846-847.
14. Shindo Y., Narita F., Tanaka K. Electroelastic intensification near anti-plane shear crack in orthotropic piezoelectric ceramic strip. Theory Appl. Fract. Mech. 25:1996;65-71.
15. Shindo Y., Tanaka K., Narita F. Singular stress and electric fields of a piezoelectric ceramic strip with a finite crack under longitudinal shear. Acta Mech. 120:1997;31-45.
16. Sosa H., Khutoryansky N.M. New developments concerning piezoelectric materials with defects. Int. J. Solids Structures. 33:1996;3399-3414.
17. Suo Z., Kuo C.-M., Barnett D.M., Willis J.R. Fracture mechanics for piezoelectric ceramics. J. Mech. Phys. Solids. 40:1992;739-765.
18. Tada H., Paris P.C., Irwin G.R. The Stress Analysis of Cracks Handbook. 1985;Del Research Corporation, St. Louis, MO.
19. Zhang T.-Y., Tong P. Fracture mechanics for a mode III crack in a piezoelectric material. Int. J. Solids Structures. 33:1996;343-359.
20. Zhong Z., Meguid S.A. Analysis of a circular are-crack in piezoelectric materials. Int. J. Fract. 84:1997;143-158.
21. Zhong Z., Meguid S.A. Interfacial debonding of a circular inhomogeneity in piezoelectric materials. Int. J. Solids Structures. 34:1997;1965-1984.