Fracture analysis of a functionally graded strip with arbitrary distributed material properties

International Journal of Solids and Structures

Volumn 45, Issue 13, 2008, Pages 3711-3725

  Zhong, Zheng ^a   Cheng, Zhanqi ^b  

^a TONGJI UNIVERSITY   (China)

^b ZHENGZHOU UNIVERSITY   (China)

Author keywords

Crack; Fourier transformation; Functionally graded materials; Plane deformation; Singular integral equation; Stress intensity factors

Indexed keywords

ELASTIC MODULI; FOURIER TRANSFORMS; FRACTURE MECHANICS; INTEGRAL EQUATIONS; STRESS INTENSITY FACTORS;

PLANE DEFORMATION; SINGULAR INTEGRAL EQUATION;

FUNCTIONALLY GRADED MATERIALS;

EID: 42649085416     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2007.09.023     Document Type: Article

References (24)

1. Craster R.V., and Atkinson C. Mixed boundary value problems in non-homogeneous elastic materials. Quarterly Journal of Mathematics 47 (1994) 183-206
2. Chen J., Liu Z.X., and Zou Z.Z. Crack initiation behavior of functionally graded piezoelectric material: prediction by the strain energy density criterion. Theoretical and Applied Fracture Mechanics 41 (2004) 63-82
3. Delale F., and Erdogan F. The crack problem for a nonhomogeneous plane. ASME Journal of Applied Mechanics 50 (1983) 609-614
4. Delale F., and Erdogan F. On the mechanical modeling of the interfacial region in bonded half-planes. ASME Journal of Applied Mechanics 55 (1988) 317-324
5. Eischen J.W. Fracture of nonhomogeneous material. International Journal of Fracture 34 (1987) 3-22
6. Erdogan F., and Gupta G.D. On the numerical solution of singular integral equations. Quarterly Journal of Applied Mathematics 29 (1972) 525-534
7. Erdogan F., Kaya A.C., and Josehp P.F. The crack problem in bonded nonhomogeneous materials. ASME Journal of Applied Mechanics 58 (1991) 410-418
8. Erdogan F., and Ozturk M. Diffusion problems in bonded nonhomogeneous materials with an interface cut. International Journal of Engineering Science 30 (1992) 1507-1523
9. Feng W.J., and Su R.K.L. Dynamic internal crack problem of a functionally graded magneto-electro-elastic strip. International Journal of Solids and Structures 43 (2006) 5196-5216
10. Gerasoulis A., and Srivastav R.P. A Griffith crack problem for a nonhomogeneous medium. International Journal of Engineering Science 18 (1980) 239-247
11. Huang G.Y., Wang Y.S., and Gross D. Fracture analysis of a functionally graded coatings: plane deformation. European Journal of Mechanics A/Solids 22 (2003) 535-544
12. Huang G.Y., Wang Y.S., and Yu S.W. A new model for fracture analysis of functionally graded coatings under plane deformation. Mechanics of Materials 37 (2005) 507-516
13. Itou S. Stress intensity factors around a crack in a nonhomogeneous interfacial layers between two dissimilar elastic half-plane. International Journal of Fracture 110 (2001) 123-135
14. Jin B., and Zhong Z. A moving mode-III crack in functionally graded piezoelectric material: permeable problem. Mechanics Research Communications 29 (2002) 217-224
15. Jin Z.H., and Noda N. Crack tip singular fields in nonhomogeneous materials. ASME Journal of Applied Mechanics 61 (1994) 738-740
16. Meguid S.A., Wang X.D., and Jiang L.Y. On the dynamic propagation of a finite crack in functionally graded materials. Engineering Fracture Mechanics 69 (2002) 1753-1768
17. Shbeeb N.I., and Binienda W.K. Analysis of an interface crack for a functionally graded strip sandwiched between two homogeneous layers of finite thickness. Engineering Fracture Mechanics 64 (1999) 693-720
18. Shbeeb N.I., Binienda W.K., and Kreider K. Analysis of the driving force for a generally oriented crack in a functionally graded strip sandwiched between two homogeneous half planes. International Journal of Fracture 104 (2000) 23-50
19. Wang B.L., Mai Y.W., and Noda N. Fracture mechanics analysis model for FGM with arbitrary distributed properties. International Journal of Fracture 116 (2002) 161-177
20. Wang Y.S., and Gross D. Analysis of a crack in a functionally gradient interface layer under static and dynamic loading. Key Engineering Materials (2000) 331-336
21. Wang Y.S., and Gross D. On the mechanical modeling of functionally graded interfacial zone with a Griffith crack: plane deformation. International Journal of Fracture 125 (2004) 189-205
22. 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. ASME Journal of Applied Mechanics 70 (2003) 676-680
23. Wang Y.S., Huang G.Y., and Gross D. On the mechanical modeling of functionally graded interfacial zone with a Griffith crack: plane deformation. International Journal of Fracture 125 (2004) 189-205
24. Zhou Z.G., Wu L.Z., and Wang B. The behavior of a crack in functionally graded piezoelectric/piezomagnetic materials under anti-plane shear loading. Archive of Applied Mechanics 74 (2005) 526-535