Crack deflection in functionally graded materials

International Journal of Solids and Structures

Volumn 34, Issue 24, 1997, Pages 3085-3098

  Gu, Pei ^a   Asaro, R J ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BRITTLENESS; CALCULATIONS; CONTINUUM MECHANICS; CRACK PROPAGATION; ELASTICITY; FRACTURE; LOADS (FORCES); MATHEMATICAL MODELS; STRESS INTENSITY FACTORS; STRESSES; TOUGHNESS;

CRACK DEFLECTION; DISPLACEMENT; ENERGY RELEASE RATE; FUNCTIONALLY GRADED MATERIALS; HOMOGENEITY; KINK DIRECTION;

CRACKS;

EID: 0031211062     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(96)00175-8     Document Type: Article

References (27)

1. Barenblatt, G. I. (1962). The mathematical theory of equilibrium cracks in brittle fracture. Advances in Applied Mechanics 7, 55-129.
2. Cotterell, B. (1965). On brittle fracture paths. International Journal of Fracture 1, 96-103.
3. Cotterell, B. and Rice, J. R. (1980). Slightly curved or kinked cracks. International Journal of Fracture 16, 155-169.
4. Dugdale, D. S. (1960). Yielding of steel sheets containing slits. Journal of the Mechanics and Physics of Solids 8, 100-108.
5. Dundurs, J. (1969). Edge-bonded dissimilar orthogonal elastic wedges. Journal of Applied Mechanics 36, 650-652.
6. Geubelle, P. H. and Knauss, W. G. (1994). Crack propagation at and near bimaterial interfaces: linear analysis. Journal of Applied Mechanics 61, 560-566.
7. Giannakopoulos, A. E., Suresh, S., Finot, M. and Olsson, M. (1995). Elastoplastic analysis of thermal cycling: layered materials with compositional gradients. Acta Metallurgica 43, 1335-1354.
8. Goldstein, R. V. and Salganik, R. L. (1974). Brittle fracture of solids with arbitrary cracks. International Journal of Fracture 10, 507-523.
9. Gu, P. (1993). Multilayer material with an interface crack. Journal of Applied Mechanics 60, 1052-1054.
10. Gu, P. and Asaro, R. J. (1997). Cracks in functionally graded materials. International Journal of Solids and Structures 34, 1-17.
11. Gu, P. and Asaro, R. J. (1996), Plastic crack problems in functionally graded materials. Work in progress.
12. He, M.-Y. and Hutchinson, J. W. (1989). Kinking of a crack out of an interface. Journal of Applied Mechanics 56, 270-278.
13. Holt, J. B., Koizumi, M., Hirai, T. and Munir, Z. A. (eds) (1993). Ceramic Transactions vol. 34, The American Ceramic Society, Westerville, Ohio.
14. Hutchinson, J. W. (1990). Mixed mode fracture mechanics of interfaces. In Metal-Ceramic Interfaces, Acta-Scripta Metall. Proc. Vol. 4, Pergamon, New York, pp. 295-306.
15. Lo, K. K. (1978). Analysis of branched cracks. Journal of Applied Mechanics 45, 797-802.
16. Mukai, D. J., Ballarini, R. and Miller, G. R. (1990). Analysis of branched interface cracks. Journal of Applied Mechanics 57, 887-893.
17. O'Dowd, N. P., Shih, C. F. and Stout, M. G. (1992). Test geometries for measuring interfacial fracture toughness. International Journal of Solids and Structures 29, 571-589.
18. Palaniswamy, K. and Knauss, W. G. (1978). On the problem of crack extension in brittle solids under general loading. Mechanics Today Vol. 4, Pergamon, New York, pp. 87-148.
19. Rice, J. R. (1968). A path independent integral and approximate analysis of strain concentration by notches and cracks. Journal of Applied Mechanics 35, 379-386.
20. Rice, J. R. (1988). Elastic fracture mechanics concepts for interfacial cracks. Journal of Applied Mechanics 55, 98-103.
21. Shih, C. F. (1991). Cracks on bimaterial interfaces: elasticity and plasticity aspects. Materials Science and Engineering A143, 77-90.
22. Shih, C. F. and Asaro, R. J. (1988). Elastic-plastic analysis of cracks on bimaterial interfaces: part I - small scale yielding. Journal of Applied Mechanics 55, 299-316.
23. Shih, C. F. and Asaro, R. J. (1989). Elastic-plastic analysis of cracks on bimaterial interfaces: part II - structure of small scale yielding fields. Journal of Applied Mechanics 56, 763-779.
24. Suga, T., Elssner, E. and Schmander, S. (1988). Composite parameters and mechanical compatibility of material joints. Journal of Computers and Materials 22, 917-934.
25. Symington, M. F. (1987). Eigenvalues for interface cracks in linear elasticity. Journal of Applied Mechanics 54, 973-974.
26. Yamanouchi, M., Koizumi, M., Hirai, T. and Shiota, I. (eds) (1990). Proceedings of the First International Symposium on Functionally Gradient Materials, Sendai, Japan.
27. Yang, W. and Shih, C. F. (1994). Fracture along an interlayer. International Journal of Solids and Structures 31, 985-1002.