Dynamic response of a crack in a functionally graded interface of two dissimilar piezoelectric half-planes

Archive of Applied Mechanics

Volumn 72, Issue 9, 2003, Pages 686-696

  Chen, J ^a   Liu, Z ^a   Zou, Z ^b  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

^b HARBIN INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Crack; Factor; Functionally graded material; Piezoelectricity; Stress intensity

Indexed keywords

BOUNDARY CONDITIONS; CRACK PROPAGATION; ELECTRIC FIELDS; FOURIER TRANSFORMS; FUNCTIONALLY GRADED MATERIALS; INTEGRAL EQUATIONS; INTERFACES (MATERIALS); LAPLACE TRANSFORMS; PIEZOELECTRIC MATERIALS; PIEZOELECTRICITY; STRESS INTENSITY FACTORS;

ANTI-PLANE CRACK PROBLEM; ELECTRIC DISPLACEMENT INTENSITY FACTORS; FUNCTIONALLY GRADED INTERFACE; INTEGRAL TRANSFORMS;

DYNAMIC RESPONSE;

EID: 0037281839     PISSN: 09391533     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00419-002-0238-5     Document Type: Article

References (20)

1. Wu, C.M.; Kahn, M.K.; Moy, W.: Piezoelectric ceramics with functionally gradients: a new application in material design. J Am Ceram Soc 79 (1996) 809-812
2. Zhu, X.; Xu, J.; Meng, Z.: Interdiffusion reaction in the PZT/PNN functionally gradient piezoelectric ceramic materials. J Mat Sci 33 (1998) 1023-1030
3. Zhu, X.; Xu, J.; Meng, Z.: Microdisplacement characteristics and microstructures of functionally gradient piezoelectric ceramic actuator. Mat Des 21 (2000) 561-566
4. Wang, X.; Yu, S.: Transient response of a crack in a piezoelectric strip subjected to the mechanical and electrical impacts. Int J Solids Struct 37 (2000) 5795-5808
5. Chen, Z.T.; Meguid, S.A.: The transient response of a piezoelectric strip with a vertical crack under electro-mechanical impact load. Int J Solids Struct 37 (2000) 6051-6062
6. Shin, J.W.; Kwon, S.M.; Lee, K.Y.: An electric crack in a piezoelectric strip under anti-plane shear impact loading. Int J Solids Struct 38 (2001) 1483-1494
7. Wang, B.L.; Han, J.C.; Du, S.Y.: Electro-elastic fracture dynamics for multi-layered piezoelectric materials under dynamic anti-plane shearing. Int J Solids Struct 37 (2000) 5219-5231
8. Gu, B.; Wang, X.; Yu, S.; Gross, D.: Transient response of Griffith crack between dissimilar piezoelectric layers under anti-plane mechanical and in-plane electrical impacts. Eng Fracture Mech 69 (2002) 565-576
9. Meguid, S.A.; Zhao, X.: The interface crack problem of bonded piezoelectric and elastic half-space under transient electromechanical loads. ASME J Appl Mech 69 (2002) 244-253
10. Wang, B.L.; Noda, N.: Transient smart laminate with two piezoelectric layers bonded to an elastic layer. Eng Fracture Mech 68 (2001) 1003-1012
11. Li, C.Y.; Weng, G.J.: Yoffe-type moving crack in a functionally graded piezoelectric material. Proc. R. Soc. London A458 (2002) 381-399
12. Chen, J.; Liu, Z.X.; Zou, Z.Z.: Mode I crack problems in functionally graded piezoelectric medium. Theor Appl Fracture Mech (in press)
13. Delale, F.; Erdogan, F.: On the mechanical modeling of the interfacial region in bonded half-planes. ASME J Appl Mech 55 (1988) 317-324
14. Fildis, H.; Yahsi, O.S.: The axisymmetric crack problem in a non-homogeneous interfacial region between homogeneous half-spaces. Int J Fracture 78 (1996) 139-163
15. Parton, V.Z.: Fracture mechanics for piezoelectric materials. Acta Astronautica 3 (1976) 671-683
16. Pak, Y.E.: Crack extension force in a piezoelectric material. J Appl Mech 67 (1990) 647-653
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. Erdogen, F.: Complex function technique. In: Continuum Physics. II, New York, Academic Press, 1975 pp. 523-603
19. Miller, M.; Guy, W.: Numerical inversion of the Laplace transform by use of Jacobi polynomials. SIAM J Numer Anal 3 (1966) 624-635
20. Narita, F.; Shindo, Y.: Scattering of Love waves by a surface-breaking crack in piezoelectric layered medium. JSME Int J 41 (1998) 40-48