The central crack problem for a functionally graded piezoelectric strip

International Journal of Fracture

Volumn 121, Issue 3-4, 2003, Pages 81-94

  Chen, Jian ^a   Liu, Zhengxing ^a   Zou, Zhenzhu ^b  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

^b HARBIN INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Fracture mechanics; Functionally graded material (FGM); Integral transforms; Piezoelectric material; Stress intensity factor (SIF)

Indexed keywords

INTEGRAL EQUATIONS; MATHEMATICAL TRANSFORMATIONS; PIEZOELECTRIC DEVICES; STRESS INTENSITY FACTORS;

ELECTRIC IMPACT LOADING;

CRACK PROPAGATION;

CRACK PROPAGATION; FRACTURE;

EID: 0942267302     PISSN: 03769429     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:FRAC.0000005328.76279.4b     Document Type: Article

References (18)

1. Deeg, W.F. (1980). Analysis of dislocation crack and inclusion problems in piezoelectric solids. Ph.D. Dissertation, Standford University.
2. Erdogan, F. (1975). Complex function technique. In: Continuum Physics, vol. II. Academic Press, New York, pp. 523-603.
3. Gao, C.F. and Fan, W.X. (1999). A general solution for the plane problem in piezoelectric media with collinear cracks. Int. J. Eng. Sci. 37, 347-363.
4. Meguid, S.A. and Chen, Z.T. (2001). Transient response of finite piezoelectric strip containing coplanar insulating cracks under electromechanical impact. Mechanics of Materials 33, 85-96.
5. Miller, M. and Guy, W. (1966). Numerical inversion of the Laplace transform by use of Jacobi polynomials. SIAM Journal Numerical Analysis 3, 624-635.
6. Pak, Y.E. (1990). Crack extension force in a piezoelectric material. ASME J. Appl. Mech. 57, 647-653.
7. Park, S.B. and Sun, C. T. (1995). Fracture criteria for piezoelectric ceramics. J. Am. Ceram. Soc. 78, 1475-1480.
8. Parton, V.Z. (1976). Fracture mechanics for piezoelectric materials. Acta Astronautica 3, 671-683.
9. Qin, Q.H. (2001). Fracture mechanics of piezoelectric materials, WIT Press, Southampton.
10. Qin, Q.H. and Mai, Y.W. (1998). Multiple cracks in the thermoelectro-elastic bimaterials. Theoret. Appl. Fract. Mech. 29, 141-150.
11. Sih, G.C. and Zuo, J.Z. (2000). Multiscale behavior of crack initiation and growth in piezoelectric ceramics. Theoret. Appl. Fract. Mech. 34, 123-141.
12. Sosa, H. (1991). Plane problems in piezoelectric media with defects. Int. J. Solids Struct. 28, 491-505.
13. Sosa, H. and Khutoryansky, N. (1996). New developments concerning piezoelectric materials with defects. Int. J. Solids Struct. 33, 3399-3414.
14. Suo, Z., Kuo, C.M., Barnett, D.M. and Willis, J.R. (1992). Fracture mechanics for piezoelectric ceramics. J. Mech. Phys. Solids 40, 739-765.
15. Wang, X.Y. and Yu, S.W. (2000). Transient response of a crack in a piezoelectric strip objected to the mechanical and electrical impacts: mode III problem. Int. J. Solids Struct. 37, 5795-5808.
16. Zuo, J.Z. and Sih, G.C. (2000). Energy density theory formulation and interpretation of cracking behavior for piezoelectric ceramics. Theoret. Appl. Fract. Mech. 34, 17-33.
17. Zhu, X., Wang, Q. and Meng, Z. (1995). A functionally gradient piezoelectric actuator prepared by metallurgical process in PMN-PZ-PT system. J. Mater. Sci. Lett. 14, 516-518.
18. Zhu, X., Zhu, J., Zhou, S., Li, Q. and Liu, Z. (1999). Microstructures of the monomorph piezoelectric ceramic actuators with functionally gradient. Sensor Actuators A 74, 198-202.