Dynamic stress intensity factors of two collinear mode-III cracks perpendicular to and on the two sides of a bi-FGM weak-discontinuous interface

European Journal of Mechanics, A/Solids

Volumn 27, Issue 5, 2008, Pages 808-823

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

^a NATIONAL KEY LABORATORY FOR REMANUFACTURING   (China)

^b Yonsei University   (South Korea)

Author keywords

Bi FGM interface; Collinear cracks; Dynamic stress intensity factor; Singular integral equation; Weak discontinuity

Indexed keywords

ASPHALT PAVEMENTS; BISMUTH; BISMUTH PLATING; CRACK PROPAGATION; CRACK TIPS; CRACKS; DYNAMIC MODELS; ELASTICITY; FLOW INTERACTIONS; FOURIER SERIES; FOURIER TRANSFORMS; FRACTURE; FRACTURE FIXATION; LAPLACE TRANSFORMS; MATERIALS PROPERTIES; MECHANICAL PROPERTIES; MOLECULAR BEAM EPITAXY; STRESS INTENSITY FACTORS; STRESSES; SURFACE CHEMISTRY;

ANTI PLANE; CAUCHY SINGULAR INTEGRAL EQUATIONS; COLLINEAR CRACKS; COLLOCATION METHOD (CM); DYNAMIC FRACTURES; DYNAMIC STRESS INTENSITY FACTORS (DSIF); ELASTIC PROPERTIES; ELSEVIER (CO); FOURIER INTEGRAL TRANSFORMS; INTERFACIAL CRACKS; MECHANICAL MODELLING; NUMERICAL INVERSION; PHYSICAL PARAMETERS; SHARP INTERFACES; STRESS INTENSITY; TIME DOMAIN (OCT); TWO MATERIALS;

INTEGRAL EQUATIONS;

EID: 46949084130     PISSN: 09977538     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechsol.2007.11.006     Document Type: Article

References (29)

1. Choi H.J., Lee K.Y., and Jin T.E. Collinear cracks in a layered half-plane with a graded nonhomogeneous interfacial zone - part A: Mechanical response. Int. J. Fract. 94 2 (1998) 103-122
2. Choi H.J., Jin T.E., and Lee K.Y. Collinear cracks in a layered half-plane with a graded nonhomogeneous interfacial zone - part B: Thermal shock response. Int. J. Fract. 94 2 (1998) 123-135
3. Choi H.J. Effects of graded layering on the tip behavior of a vertical crack in a substrate under frictional Hertzian contact. Eng. Fract. Mech. 68 8 (2001) 1033-1059
4. Choi H.J. Impact response of a surface crack in a coating/substrate system with a functionally graded interlayer: antiplane deformation. Int. J. Solids Struct. 41 20 (2004) 5631-5645
5. Choi H.J. Elastodynamic analysis of a crack at an arbitrary angle to the graded interfacial zone in bonded half-planes under antiplane shear impact. Mech. Res. Commun. 33 5 (2006) 636-650
6. Chue C.H., and Ou Y.L. Mode III crack problems for two bonded functionally graded piezoelectric materials. Int. J. Solids Struct. 42 (2005) 3321-3337
7. Comninou M. The interface crack. J. Appl. Mech. 44 4 (1977) 631-636
8. Cook T.S., and Erdogan F. Stresses in bonded materials with a crack perpendicular to the interface. Int. J. Eng. Sci. 10 (1972) 677-697
9. Delale F., and Erdogan F. On the mechanical modeling of the interface region in bonded half-plane. J. Appl. Mech. 55 2 (1988) 317-324
10. England A.H. A crack between dissimilar media. J. Appl. Mech. 87 4 (1965) 400-402
11. Erdogan F. The crack problem for bonded nonhomogeneous materials under antiplane shear loading. J. Appl. Mech. 52 (1985) 823-828
12. Erdogan F., and Gupta G.D. On the numerical solution of singular integral equations. Quart. Appl. Math. 29 4 (1972) 525-534
13. Erdogan F., Kaya A.C., and Joseph P.F. The mode III crack problem in bonded materials with a nonhomogeneous interfacial zone. J. Appl. Mech. 58 2 (1991) 419-427
14. Huang G.Y., Wang Y.S., and Gross D. Fracture analysis of functionally graded coatings: antiplane deformation. Eur. J. Mech. A/Solids 21 (2002) 391-400
15. Huang G.Y., Wang Y.S., and Gross D. Fracture analysis of functionally graded coating: plane deformation. Eur. J. Mech. A/Solids 22 (2003) 535-544
16. Huang G.Y., Wang Y.S., and Yu S.W. Fracture analysis of a functionally graded interfacial zone under plane deformation. Int. J. Solids Struct. 41 (2004) 731-743
17. Hu K.Q., Zhong Z., and Jin B. Anti-plane shear crack in a functionally gradient piezoelectric material. Acta Mech. Solida Sinica 15 2 (2002) 140-148
18. Knowles J.K., and Sternberg E. Large deformations near a tip of an interface-crack between two neo-Hookean sheets. J. Elasticity 13 2 (1983) 257-293
19. Li C.Y., and Weng G.J. Dynamic stress intensity factors of a cylindrical interface crack with a functionally graded interlayer. Mech. Mater. 33 6 (2001) 325-333
20. 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. Solids Struct. 43 (2006) 4795-4809
21. 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
22. 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
23. Ma L., Wu L.Z., and Guo L.C. Dynamic behavior of two collinear anti-plane shear cracks in a functionally graded layer bonded to dissimilar half planes. Mech. Res. Commun. 29 (2002) 207-215
24. Miller M.K., and Guy W.T. Numerical inversion of the Laplace transform by use of Jacobi polynomials. J. Numer. Anal. 3 (1966) 624-635
25. Rice J.R. Elastic fracture concepts for interfacial cracks. J. Appl. Mech. 55 (1988) 98-103
26. Wang X.Y., Zou Z.Z., and Wang D. On the penny-shaped crack in a nonhomogeneous interlayer of adjoining two different elastic materials. Int. J. Solids Struct. 34 (1997) 3911-3921
27. Wang Y.S., Huang G.Y., and Gross D. On the mechanical modeling of functionally graded interfacial zone with a Griffith crack: anti-plane deformation. J. Appl. Mech. 70 (2003) 676-680
28. Williams M.L. The stress around a fault or crack in dissimilar media. Bull. Seismol. Soc. Am. 49 2 (1959) 199-204
29. Yong H.D., and Zhou Y.H. Analysis of a mode III crack problem in a functionally graded coating-substrate system with finite thickness. Int. J. Fract. 141 (2006) 459-467