Analysis of a transiently propagating crack in functionally graded materials under mode I and II

International Journal of Engineering Science

Volumn 47, Issue 9, 2009, Pages 852-865

  Lee, Kwang Ho ^a  

^a Kyungpook National University   (South Korea)

Author keywords

Accelerating and decelerating crack; Crack kinking angle; Dynamic stress intensity factor; Stress and displacement fields; Transiently propagating crack

Indexed keywords

ACCELERATING AND DECELERATING CRACK; CRACK KINKING ANGLE; DYNAMIC STRESS INTENSITY FACTOR; STRESS AND DISPLACEMENT FIELDS; TRANSIENTLY PROPAGATING CRACK;

ASPHALT PAVEMENTS; CRACK INITIATION; CRACK PROPAGATION; CRACK TIPS; FOURIER SERIES; HARMONIC ANALYSIS; LAPLACE TRANSFORMS; PARTIAL DIFFERENTIAL EQUATIONS; STRESS ANALYSIS; STRESS INTENSITY FACTORS;

FUNCTIONALLY GRADED MATERIALS;

EID: 67649460587     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijengsci.2009.05.004     Document Type: Article

References (35)

1. Niino M., Hirai T., and Watanabe R. The functionally gradient. J. Jpn. Soc. Compos. Mater. 13 1 (1987) 25-27
2. Niino A., and Maeda S. Recent development status of functionally gradient materials. ISIJ Int. 30 (1990) 699-703
3. Chen E.S.C. Army focused research team on functionally graded armor composites. Mater. Sci. Eng. A 259 (1999) 155-161
4. Pompea W., Worch H., Epple M., Friess W., Gelinsky M., Greil P., Hempele U., Charnweber D., and Schulte K. Functionally graded materials for biomedical applications. Mater. Sci. Eng. A 362 (2003) 40-60
5. Atkinson C. Some results on crack propagation in media with spatially varying elastic moduli. Int. J. Fract. 11 4 (1975) 619-628
6. Wang X.D., and Meguid S.A. On the dynamic crack propagation in an interface with spatially varying elastic properties. Int. J. Fract. 169 (1995) 87-99
7. Ma L., Wi L.Z., Guo L.C., and Zhou Z.G. On the moving Griffith crack in a non-homogeneous orthotropic medium. Euro. J. Mech. A/Solids 24 (2005) 393-405
8. Cheng Z., and Zhang Z. Analysis of a moving crack in a functionally graded strip between two homogeneous layers. Int. J. Mech. Sci. 49 9 (2007) 1038-1046
9. Bi X.S., Cheng J., and Chen X.L. Moving crack for functionally graded material in an infinite length strip under antiplane shear. Theo. Appl. Fract. Mech. 39 (2003) 89-97
10. Jiang L.Y., and Wang X.D. On the dynamic crack propagation in an interphase with spatially varying elastic properties under inplane loading. Int. J. Fract. 114 (2002) 225-244
11. Meguid S.A., Wang X.D., and Jiang L.Y. On the dynamic propagation of a finite crack in functionally graded materials. Engng. Fract. Mech. 69 (2002) 1753-1768
12. Ma L., Wu L.Z., Zhou Z.G., and Zeng T. Crack propagating in a functionally graded strip under the plane loading. Int. J. Fract. 126 (2004) 39-55
13. Lee K.H., Chalivendra V.B., and Shukla A. Dynamic crack-tip stress and displacement fields under thermomechanical loading in functionally graded materials. J. Appl. Mech. 75 5 (2009) 1-7
14. Yao X.F., Xu W., Bai S.L., and Yeh H.Y. Caustics analysis of the crack initiation and propagation of graded materials. Compo. Sci. Tech. 68 3-4 (2008) 953-962
15. Rousseau C.-E., and Tippur H.V. Dynamic fracture of compositionally graded materials with crack along the elastic gradient: experiments and analysis. Mech. Mater. 33 (2001) 403-421
16. Abanto-Bueno J., and Lambros J. An experimental study of mixed mode crack initiation and growth in functionally graded materials. Exp. Mech. 46 (2006) 179-196
17. Tsi Y.M. Propagation of brittle crack at constant and accelerating speeds. Int. J. Solids Struct. 9 (1973) 625-642
18. Kostrov B.V. On the crack propagation with variable velocity. Int. J. Fract. 11 (1975) 47-56
19. Freund L.B. Dynamic Fracture Mechanics (1990), Cambridge University Press, Cambrage
20. Yang L., Deng X., and Chao Y.J. Explicit expressions of transient elastodynamic crack tip fields for mixed-mode crack propagation. Engng. Fract. Mech. 48 4 (1994) 573-582
21. Nishioka T. Computational dynamic fracture mechanics. Int. J. Fract. 86 (1997) 127-159
22. Ing Y.S., and Ma C.C. Transient analysis of a propagating crack with finite length subjected to horizontally polarized shear wave. Int. J. Solids Struct. 36 30 (1999) 4609-4627
23. Lee N.J., Jang J., Park M., and Choe C.R. Characterization of functionally gradient epoxy/carbon fibre composite prepared under centrifugal force. J. Mater. Sci. 32 (1997) 2013-2020
24. Yao X.F., Xiong T.C., Xu W., and Yeh H.Y. Experimental investigations on deformation and fracture behavior of glass sphere filled epoxy functionally graded materials. Appl. Compos. Mater. 13 (2006) 407-420
25. 2/NiCr functionally graded materials. Materials. Mater. Sci. Engng. A 509 (2009) 63-68
26. Delale F., and Erdogan F. The crack problem for a nonhomogeneous plane. ASME J. Appl. Mech. 50 (1983) 609-614
27. Lee K.H. Characteristics of a crack propagating along the gradient in functionally gradient materials. Int. J. Solids Struct. 41 (2004) 2879-2898
28. Konda N., and Erdogan F. The mixed mode crack problem in a nonhomogeneous elastic plane. Engng. Fract. Mech. 47 (1994) 533-545
29. Griffith A.A. The phenomena of rupture and flow in solids. Phi. Trans. Royal Soc. London A 221 (1921) 163-198
30. Erdogan F., and Sih G.C. On the crack extension in plates under plane loading and transverse shear. J. Basic Engng. 85 (1963) 519-527
31. Cotterell B. On the brittle fracture paths. Int. J. Fract. Mech. 1 2 (1965) 96-103
32. Williams J.G., and Ewing P.D. Fracture under complex stress-the angled crack problem. Int. J. Fract. Mech. 8 (1972) 441-446
33. Sih G.C. Some basic problems in fracture mechanics and new concepts. Engng. Fract. Mech. 5 (1973) 365-377
34. Smith D.J., Ayatollahi M.R., and Pavier M.J. The role of T-stress in brittle fracture for linear elastic materials under mixed-mode loading. Fatigue Fract. Eng.Mater. Struct. 24 2 (2001) 37-150
35. K.H. Lee, A. Kidane, V. Parameswaran, A. Shukla, Dynamic crack propagation in transparent functionally graded material, in: Proceedings of the SEM Annual Conference and Exposition on Experimental and Applied Mechanics, vol. 2, 2007, pp. 1144-1149.