Mode-3 spontaneous crack propagation in symmetric functionally graded materials

International Journal of Solids and Structures

Volumn 44, Issue 1, 2007, Pages 242-254

  Pal, S ^a   Kulkarni, M G ^a   Kubair, D V ^a  

^a INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

Anti plane shear; Functionally graded materials; Inhomogeneity length scale; Multi functional materials; Spontaneous crack propagation; Symmetric graded materials; Unsymmetric graded materials

Indexed keywords

FRACTURE MECHANICS; FUNCTIONALLY GRADED MATERIALS; HARDENING; MATERIALS SCIENCE; NUMERICAL METHODS;

ANTI-PLANE SHEAR; INHOMOGENEITY LENGTH SCALE; MULTI-FUNCTIONAL MATERIALS; SPONTANEOUS CRACK PROPAGATION; SYMMETRIC GRADED MATERIALS; UNSYMMETRIC GRADED MATERIALS;

CRACK PROPAGATION;

EID: 33750703966     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2006.05.003     Document Type: Article

References (34)

1. Breitenfeld M., and Geubelle P. Numerical analysis of dynamic debonding under 2d in-plane and 3d loading. International Journal of Fracture 93 (1998) 13-38
2. Camacho G., and Ortiz M. Computational modelling of impact damage in brittle materials. International Journal of Solids and Structures 33 (1996) 2899-2938
3. Delale F., and Erdogan F. The crack problem for nonhomogeneous plane. Transactions of the ASME, Journal of Applied Mechanics 50 (1983) 609-614
4. Eischen J. Fracture of nonhomogeneous materials. International Journal of Fracture 34 (1987) 3-22
5. El-Borgi S., Erdogan F., and Harita F. Stress intensity factors for an interface crack between a functionally graded coating and homogeneous substrate. International Journal of Fracture 123 (2003) 139-162
6. Feng W., Zhang Z., and Zuo Z. Impact failure prediction of mode-3 crack in orthotropic functionally graded strip. Theoretical and Applied Fracture Mechanics 40 (2003) 97-104
7. Gasik M., Zhang B., Biest O., Vleugels J., and Put S. Design and fabrication of symmetric FGM plates. Materials Science Forum 423-425 (2003) 23-28
8. Geubelle P., and Baylor J. Impact induced delamination of laminated composites: a 2-d simulations. Composite Part B Engineering 29 (1998) 589-602
9. Geubelle P., and Breitenfeld M. Numerical analysis of dynamic debonding under anti-plane shear loading. International Journal of Fracture 85 (1997) 265-282
10. Geubelle P., and Rice J. A spectral method for three-dimensional elasto-dynamic fracture problems. Journal of the Mechanics and Physics of Solids 43 (1995) 1791-1824
11. Geubelle P., Danyluk M., and Hilton H. Dynamic mode III fracture in viscoelastic media. International Journal of Solids and Structures 35 (1998) 761-782
12. Hwang C., and Geubelle P. A spectral scheme to simulate dynamic fracture problems in composites. CMES - Computer Modelling in Engineering & Sciences 1 4 (2000) 44-45
13. Kubair D., and Geubelle P. Comparative analysis of extrinsic and intrinsic cohesive models of dynamic fracture. International Journal of Solids and Structures 40 15 (2003) 3853-3868
14. Kubair D., Geubelle P., and Huang Y. Analysis of a rate-dependent cohesive model for dynamic crack propagation. Engineering Fracture Mechanics 70 5 (2002) 685-704
15. Kulkarni, M., Pal, S., Kubair, D., 2006. Spectral simulation of spontaneous crack propagation in functionally graded materials, in press.
16. Lambros J., Santare M.H., and Sapna G.H. A novel technique for the fabrication of laboratory scale model functionally graded materials. Experimental Mechanics 39 3 (1999) 184-190
17. Meguid S., Wang X., and Jiang L. On the dynamic propagation of finite crack in functionally graded materials. Engineering Fracture Mechanics 69 14-16 (2002) 1753-1768
18. Mikumo T., Hirahara K., and Miyatake T. Dynamic rapture process in heterogeneous media. Technophysics 144 (1987) 19-36
19. Morrissey J., and Geubelle P. A numerical scheme for mode III dynamic fracture problems. International Journal for Numerical Methods in Engineering 40 (1997) 1181-1196
20. Movchan B., and Yakovchuk K. Graded thermal barrier coatings, deposited by eb-pvd. Surface and Coatings Technology 188-189 (2004) 85-92
21. Parameswaran V., and Shukla A. Crack tip fields for dynamic fracture in functionally graded materials. Mechanics of Materials 31 (1999) 579-596
22. Parameswaran V., and Shukla A. Asymptotic stress fields for stationary cracks along the gradient in functionally graded materials. Transactions of the ASME, Journal of Applied Mechanics 69 (2002) 240-243
23. Put S., Vleugels J., Anne G., and Biest O. Functionally graded hard metals with a continuously graded symmetric profile. Material Science Forum 423-425 (2003) 33-38
24. Put S., Vleugels J., and Biest O. Functionally graded ceramic and ceramic composites shaped by electrophoretic deposition. Colloids and Surface A: Physiochemical Engineering Aspects 222 (2003) 223-232
25. Rice J., Lapusta N., and Ranjith K. Rate and state dependent friction and the stability of sliding between elastically deformable solids. Journal of Mechanics and Physics of Solids 49 9 (2001) 1865-1898
26. Rosakis A., Samudrala O., and Coker D. Cracks faster than the shear wave speed. Science 284 (1999) 1337-1340
27. Schulz U., Peters M., Bach F., and Tegeder G. Graded coatings for thermal, wear and corrosion barriers. Materials Science and Engineering A 362 1-2 (2003) 61-80
28. Suresh S., and Mortensen A. Fundamentals of Functionally Graded Materials (1998), Institute of Materials, London
29. Vecchio K. Synthetic multifunctional metallic-intermetallic laminate composites. Journal of the Minerals, Metals and Materials Society 57 3 (2005) 25-31
30. Wang Y., Huang G., and Gross D. On the mathematical modelling of functionally graded interfacial zone with a griffith crack: plane deformation. International Journal of Fracture 125 (2004) 189-205
31. White F. Fluid Mechanics (1994), McGraw-Hill, Inc., New York, NY
32. Xu X., and Needleman A. Numerical simulations of fast crack growth in brittle solids. Journal of the Mechanics and Physics of Solids 42 (1994) 1397-1434
33. Yang B., and Ravi-Chandar K. On the role of process zone in dynamic fracture. Journal of Mechanics and Physics of Solids 44 12 (1996) 1955-1976
34. Zhang C., Sladek J., and Sladek V. Crack analysis in unidirectionally and bidirectionally functionally graded materials. International Journal of Fracture 129 (2004) 385-406