An anti-plane propagating crack in a functionally graded piezoelectric strip bonded to a homogeneous piezoelectric strip

Archive of Applied Mechanics

Volumn 73, Issue 5-6, 2003, Pages 348-366

  Kwon, S M ^a   Lee, K Y ^b  

^a Changwon National University   (South Korea)

^b Yonsei University   (South Korea)

Author keywords

Crack sliding displacement; Functionally graded piezoelectric material; Intensity factor; Propagating crack; Unified crack condition

Indexed keywords

BOUNDARY CONDITIONS; CERAMIC MATERIALS; CRACK PROPAGATION; DOPING (ADDITIVES); FOURIER TRANSFORMS; FRACTURE MECHANICS; FUNCTIONALLY GRADED MATERIALS; INTEGRAL EQUATIONS;

COUPLING COEFFICIENTS; CRACK SLIDING DISPLACEMENT;

PIEZOELECTRIC MATERIALS;

EID: 0344982179     PISSN: 09391533     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00419-003-0285-6     Document Type: Article

References (22)

1. Zhu, X.; Wang, Q.; Meng, Z.: A functionally gradient piezoelectric actuator prepared by power metallurgical process in PNN-PZ-PT system. J. Mat. Sci. Lett. 14 (1995) 516-518
2. Wu, C.M.; Kahn, M.; Moy, W.: Piezoelectric ceramics with functional gradients: a new application in material design. J. Am. Cera. Soc. 79 (1996) 809-812
3. Shelley, W.F.; Wan, S.; Bowman, K.J.: Functionally graded piezoelectric ceramics. Mat. Sci. Forum 308-311 (1999) 515-520
4. Lim, C.W.; He, L.H.: Exact solution of a compositionally graded piezoelectric layer under uniform stretch, bending and twisting. Int. J. Mech. Sci. 43 (2001) 2479-2492
5. Li, C.; Weng, G.J.: Antiplane crack problem in functionally graded piezoelectric materials. J. Appl. Mech. Trans. ASME 69 (2002) 481-488
6. Takahashi, S.: Effects of impurity doping in lead zirconate-titanate ceramics. Ferroelectrics 41 (1982) 143-156
7. Hao, T.H.; Shen, Z.Y.: A new electric boundary condition of electric fracture mechanics and its applications. Eng. Fracture Mech. 47 (1994) 793-802
8. Kwon, J.H.; Lee, K.Y.; Kwon, S.M.: Moving crack in a piezoelectric ceramic strip under anti-plane loading. Mech. Res. Commun. 27 (2000) 327-332
9. Kwon, S.M.; Lee, K.Y.: Constant moving crack in a piezoelectric block: anti-plane problem. Mech. Mat. 33 (2001) 649-657
10. Kwon, S.M.; Choi, H.S.; Lee, K.Y.: Moving eccentric crack in a piezoelectric strip bonded to two elastic materials. Arch. Appl. Mech. 72 (2002) 160-170
11. Kwon, S.M.; Lee, J.S.; Lee, K.Y.: Moving eccentric crack in a piezoelectric strip bonded to elastic half planes. Int. J. Solids Struct. 39 (2002) 4395-4406
12. Lee, J.S.; Kwon, S.M.; Lee, K.Y.; Kwon, J.H.: Anti-plane interfacial Yoffe-crack between piezoelectric and two orthotropic layers. Eur. J. Mech. A/Solids 21 (2002) 483-492
13. Jin, B.; Zhong, Z.: A moving mode-III crack in functionally graded piezoelectric material: permeable problem. Mech. Res. Commun. 29 (2002) 217-224
14. Xu, X.L.; Rajapakse, R.K.N.D.: On a plane crack in piezoelectric solids. Int. J. Solids Struct. 38 (2001) 7643-7658
15. Erdogan, F.: The crack problem for bonded nonhomogeneous materials under antiplane shear loading. J. Appl. Mech. Trans. ASME 52 (1985) 823-828
16. Wang, X.D.; Meguid, S.A.: On the dynamic crack propagation in an interface with spatially varying elastic properties. Int. J. Fracture 69 (1994/1995) 87-99
17. Yamada, K.; Sakamura, J.; Nakamura, K.: Equivalent network representation for thickness vibration modes in piezoelectric plates with an exponentially graded parameter. Japanese J. Appl. Phys. 39 (2000) L34-L37
18. Meguid, S.A.; Wang, X.D.; Jiang, L.Y.: On the dynamic propagation of a finite crack in functionally graded materials. Eng. Fracture Mech. 69 (2002) 1753-1768
19. Freund, L.B.: Dynamic fracture mechanics. New York, Cambridge University Press 1990
20. Copson, E.T.: On certain dual integral equations. Proc. of the 5th Glasgow Math. Assoc. (1961) 19-24
21. McMeeking, R.M.: Towards a fracture mechanics for brittle piezoelectric and dielectric materials. Int. J. Fracture 108 (2001) 25-41
22. Jin, Z.-H.; Batra, R.C.: Some basic fracture mechanics concepts in functionally graded materials. J. Mech. Phys. Solids 44 (1996) 1221-1235