Anti-plane fracture analysis for the weak-discontinuous interface in a non-homogeneous piezoelectric bi-material structure

European Journal of Mechanics, A/Solids

Volumn 28, Issue 2, 2009, Pages 241-247

  Li, Yong Dong ^a,b   Lee, Kang Yong ^b  

^a NATIONAL KEY LABORATORY FOR REMANUFACTURING   (China)

^b Yonsei University   (South Korea)

Author keywords

Anti plane fracture; Energy release rate; Functionally graded materials; Piezoelectric materials; Weak discontinuous interface

Indexed keywords

BEAMS AND GIRDERS; CRACK DETECTION; CRACK INITIATION; CRACK PROPAGATION; CRACKS; ELECTRIC FIELDS; ENERGY RELEASE RATE; FOURIER SERIES; FOURIER TRANSFORMS; FUNCTIONALLY GRADED MATERIALS; INTEGRAL EQUATIONS; MATERIALS; MEMS; PIEZOELECTRIC DEVICES; PIEZOELECTRIC MATERIALS; PIEZOELECTRICITY; PLATES (STRUCTURAL COMPONENTS); STRAIN RATE; STRUCTURAL LOADS;

ANTI-PLANE FRACTURE; BI MATERIALS; BI-MATERIAL INTERFACES; CAUCHY SINGULAR INTEGRAL EQUATIONS; ELECTRIC DISPLACEMENTS; FOURIER INTEGRAL TRANSFORMS; FRACTURE ANALYSIS; FRACTURE PARAMETERS; GEOMETRICAL PARAMETERS; INTERFACIAL FRACTURES; MECHANICAL LOADS; MECHANICAL STRAIN ENERGY RELEASE RATES; NON HOMOGENEITIES; NON-HOMOGENEOUS; NUMERICAL RESULTS; PARAMETRIC STUDIES; STRIP-WIDTHS; TOTAL ENERGIES; WEAK DISCONTINUITIES; WEAK-DISCONTINUOUS INTERFACE;

FRACTURE;

EID: 59049087608     PISSN: 09977538     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechsol.2008.05.003     Document Type: Article

References (32)

1. Chen J., Liu Z.X., and Zou Z.Z. The central crack problem for a functionally graded piezoelectric strip. Int. J. Fract. 121 (2003) 81-94
2. Chen Z.T. Dynamic fracture mechanics study of an electrically impermeable mode III crack in a transversely isotropic piezoelectric material under pure electric load. Int. J. Fract. 141 (2006) 395-402
3. Chen Z.T., and Karihaloo B.L. Dynamic response of a cracked piezoelectric ceramic under arbitrary electro-mechanical impact. Int. J. Solid. Struct. 36 (1999) 5125-5133
4. Chen Z.T., Karihaloo B.L., and Yu S.W. A Griffith crack moving along the interface of two dissimilar piezoelectric materials. Int. J. Fract. 91 (1998) 197-203
5. Chen Z.T., and Yu S.W. Antiplane Yoffe crack problem in piezoelectric materials. Int. J. Fract. 84 (1997) L41-L45
6. Chen Z.T., and Yu S.W. Antiplane dynamic fracture mechanics in piezoelectric materials. Int. J. Fract. 85 (1997) L3-L12
7. Chen Z.T., and Yu S.W. Anti-plane vibration of cracked piezoelectric materials. Mech. Res. Comm. 25 3 (1998) 321-327
8. Erdogan F., and Gupta G.D. On the numerical solution of singular integral equations. Quart. Appl. Math. 29 (1972) 525-534
9. Hu K.Q., Zhong Z., and Jin B. Anti-plane shear cracking a functionally gradient piezoelectric layer bonded to dissimilar half spaces. Int. J. Mech. Sci. 47 (2005) 82-93
10. Kwon S.M., and 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 Struct. 37 (2000) 4859-4869
11. Li X.F., and Lee K.Y. Fracture analysis of cracked piezoelectric materials. Int. J. Solids Struct. 41 (2004) 4137-4161
12. Li Y.D., and Lee K.Y. Fracture analysis and improved design for a symmetrically bonded smart structure with linearly non-homogeneous magnetoelectroelastic properties. Engrg. Fract. Mech. 75 10 (2008) 3161-3172
13. Li Y.D., and Lee K.Y. An anti-plane crack perpendicular to the weak/micro-discontinuous interface in a bi-FGM structure with exponential and linear non-homogeneities. Int. J. Fract. 146 4 (2007) 203-211
14. Li Y.D., Jia B., Zhang N., Tang L.Q., and Dai Y. Dynamic stress intensity factor of the weak/micro-discontinuous interface crack of a FGM coating. Int. J. Solid. Struct. 43 (2006) 4795-4809
15. Li Y.D., Tan W., and Zhang H.C. Anti-plane transient fracture analysis of the functionally gradient elastic bi-material weak/infinitesimal-discontinuous interface. Int. J. Fract. 142 (2006) 163-171
16. Li Y.D., Zhang H.C., and Tan W. Fracture analysis of functionally gradient weak/micro-discontinuous interface with finite element method. Comput. Mater. Sci. 38 (2006) 454-458
17. Li Y.D., Tan W., and Lee K.Y. Stress intensity factor of an anti-plane crack parallel to the weak/micro-discontinuous interface in a bi-FGM composite. Acta Mech. Solida Sinica 21 1 (2008) 34-43
18. Li Y.D., Lee K.Y., and Dai Y. Dynamic stress intensity factors of two collinear mode-III cracks perpendicular to and on the two sides of a bi-FGM weak-discontinuous interface. Eur. J. Mech. A/Solids 27 5 (2008) 808-823
19. Pak Y.E. Linear electroelastic fracture mechanics of piezoelectric materials. Int. J. Fract. 54 (1992) 79-100
20. Park S.B., and Sun C.T. Effect of electric field on fracture of piezoelectric ceramics. Int. J. Fract. 70 (1995) 203-216
21. Park S.B., and Sun C.T. Fracture criterion for piezoelectric ceramics. J. Am. Ceram. Soc. 78 (1995) 1475-1480
22. Sosa H.A., and Pak Y.E. Three-dimensional eigenfunction analysis of a crack in a piezoelectric material. Int. J. Solids Struct. 26 (1990) 1-15
23. Ueda S. Transient response of sandwiched piezoelectric strip with crack normal to interface under impact. Theor. Appl. Fract. Mech. 40 (2003) 211-223
24. Ueda S. Crack in functionally graded piezoelectric strip bonded to elastic surface layers under electromechanical loading. Theor. Appl. Fract. Mech. 40 (2003) 225-236
25. Wang B.L., and Mai Y.W. Impermeable crack and permeable crack assumptions, which one is more realistic?. Trans. ASME, J. Appl. Mech. 71 (2004) 575-578
26. Wang B.L., and Noda N. Thermally induced fracture of a smart functionally graded composite structure. Theor. Appl. Fract. Mech. 35 (2001) 93-109
27. Wang X.Y., and Yu S.W. Transient response of a crack in piezoelectric strip subjected to the mechanical and electrical impacts: mode-III problem. Int. J. Solids Struct. 37 (2000) 5795-5808
28. Yong H.D., and Zhou Y.H. A mode III crack in a functionally graded piezoelectric strip bonded to two dissimilar piezoelectric half-planes. Compos. Struct. 79 3 (2007) 404-410
29. Zhang T.Y., and Tong P. Fracture mechanics for a mode III crack in a piezoelectric material. Int. J. Solids Struct. 33 (1996) 343-359
30. Zhou Z.G., and Chen Z.T. The interaction of two parallel Mode-I limited-permeable cracks in a functionally graded piezoelectric material. Eur. J. Mech. A/Solids 27 5 (2008) 824-846
31. Zhou Z.G., and Wang B. Two parallel symmetry permeable cracks in functionally graded piezoelectric/piezomagnetic materials under anti-plane shear loading. Int. J. Solids Struct. 41 (2004) 4407-4422
32. Zhou Z.G., and Wang B. Non-local theory solution for an anti-plane shear permeable crack in functionally graded piezoelectric materials. Appl. Compos. Mater. 13 (2006) 345-367