Two mode III internal cracks located within two bonded functionally graded piezoelectric half planes respectively

Archive of Applied Mechanics

Volumn 75, Issue 6-7, 2006, Pages 364-378

  Ou, Yi Liang ^a   Chue, Ching Hwei ^a  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

Electrically impermeable and permeable crack; Functionally graded piezoelectric half plane; Singular integral equations; The Gauss Chebyshev integration formula

Indexed keywords

FUNCTIONALLY GRADED MATERIALS; INTEGRAL EQUATIONS; PIEZOELECTRIC MATERIALS;

CRACK INTERACTIONS; ELECTRICALLY IMPERMEABLE AND PERMEABLE CRACK; FUNCTIONALLY GRADED PIEZOELECTRIC HALF PLANE; SINGULAR INTEGRAL EQUATIONS; THE GAUSS-CHEBYSHEV INTEGRATION FORMULA;

CRACKS;

EID: 33644604275     PISSN: 09391533     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00419-005-0432-3     Document Type: Article

References (23)

1. Erdogan, F: The crack problem for bonded nonhomogeneous naterials under antiplane shear loading. J Appl Mech Trans ASME 52, 823-828 (1985)
2. Erdogan, F., Kaya, A.C., Joseph, P. F.: The mode III crack problem in bonded materials with a nonhomogeneous interfacial zone. J Appl Mech Trans ASME 58, 419-427 (1991)
3. Ozturk, M.. Erdogan, F.: Antiplane shear crack problem in bonded materials with a graded interfacial zone. Int J Eng Sci 31, 1641-1657 (1993)
4. Delale, F., Erdogan, F.: The crack problem for a nonhomogeneous plane. J Appl Mech Trans ASME 50, 609-614 (1983)
5. Erdogan, F., Kaya, A.C., Joseph, P.F.: The crack problem in bonded nonhomogeneous materials. J Appl Mech Trans ASME 58, 410-418 (1991)
6. Kadioglu, S., Dag, S., Yahsi, S.: Crack problem for a functionally graded layer on an elastic foundation. Int J Frac 94, 63-77 (1998)
7. Choi, H.J., Lee, K.Y., Jin, T.E.: Collinear cracks in a layered half-lane with a graded nonhomogeneous interfacial zone- part I: Mechanical response. Int J Frac 94, 103-122 (1998)
8. Ueda, S., Mukai, T.: The surface crack problem for a latered elastic medium with a functionally graded nonhomogeneous interface. JSME Int J Ser A 45, 371-378 (2002)
9. James, K.W.: Handbook of advanced materials. New York, Wiley (2004)
10. Miyamoto, Y., Kaysser, W.A., Rabin, B.H., Kawasaki, A., Ford, R.G.: Functionally graded materials: design, processing and applications. Kluwer Boston (1999)
11. Zhu, X., Wang, Q., Meng, Z.: A functionally gradient piezoelectric actuator prepared by powder metallurgical process in PNN-PZ-PT system. J Mat Sci Lett 14, 516-518 (1995)
12. Wu, C.C.M., Kahn, M., Moy, W.: Piezoelectric ceramics with functional gradients: A new application in material design. J Am Cera Soc 79, 809-812 (1996)
13. Wang, B.L., Noda, N.: Thermally induced fracture of a smart functionally graded composite structure. Theo Appl Frac Mech 35, 93-109 (2001)
14. Li, C., Weng, G.J.: Antiplane crack problem in functionally graded piezoelectric materials. J Appl Mech Trans ASME 69, 481-488 (2002)
15. Wang, B.L.: A mode III crack in functionally graded piezoelectric materials. Mech Res Commun 30, 151-159 (2003)
16. Ueda, S.: Crack in functionally graded piezoelectric strip bonded to elastic surface layers under electromechanical loading. Theo Appl Frac Mech 40, 225-236 (2003)
17. Jin, B., Soh, A.K., Zhong, Z.: Propagation of an anti-plane moving crack in a functionally graded piezoelectric strip. Arch Appl Mech 73, 252-260 (2003)
18. Kwon, S.M., Lee, K.Y.: An anti-plane propagating crack in a functionally graded piezoelectric strip bonded to a homogeneous piezoelectric strip. Arch Appl Mech 73, 348-366 (2003)
19. Muskhhelishvili, N.I.: Singular integral equations. The Netherlands, Noordhoff International Publishing, Groningen (1953)
20. Erdogan, F., Gupta, G.D., Cook, T.S.: Numerical solution of singular integral equations. In: Sih G.C. (ed) Mechanics of fracture 1: method of analysis and solution of crack problem, chap 7, The Netherlands, Noordhoff International Publishing, Leyden (1973)
21. Chen, Z.T., Yu, S.W.: Antiplane shear problem for a crack between two dissimilar piezoelectric materials. Int J Frac 86, L9-L12 (1997)
22. Li, X.F., Duan, X.Y.: Closed-form solution for a mode-III crack at the mid-plane of a piezoelectric layer. Mech Res Commun 28, 703-710 (2001)
23. Li, X.F., Tang, G J.: Antiplane permeable edge cracks in a piezoelectric strip of finite width. Int J Frac 118, L45-L50 (2002)