Displacements, strains and stresses associated with propagating cracks in materials with continuously varying properties

Acta Mechanica

Volumn 171, Issue 1-2, 2004, Pages 75-103

  Jain, N ^a,b   Shukla, A ^a,b  

^a University of Rhode Island ^*

^b The University of Rhode Island   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELASTIC STRESSES; ELASTODYNAMICS; IN-PLANE DISPLACEMENTS;

ASYMPTOTIC STABILITY; ELASTIC MODULI; FUNCTIONALLY GRADED MATERIALS; PARAMETER ESTIMATION; PRODUCT DEVELOPMENT; STRESSES;

CRACK PROPAGATION;

EID: 5444243866     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00707-004-0126-x     Document Type: Article

References (24)

1. Niino, M., Hirai, T., Watanabe, R.: The functionally gradient materials. J. Jap. Soc. Comp. Mater. 13, 257 (1987).
2. Lambros, J., Narayanaswamy, A., Santare, M. H., Anlas, G.: Manufacture and testing of a model functionally graded material. J. Engng Mater. Tech. 121, 488-493 (1999).
3. Li, C. Y., Weng, G. J.: Antiplane crack problem in functionally graded piezoelectric material. J. Appl. Mech. 69, 481-488 (2002).
4. Li, C. Y., Weng, G. J.: Yoffe-type moving crack in a functionally graded piezoelectric material. Proc. R. Soc. London. A458, 381-399 (2001).
5. Chalivendra, V. B., Shukla, A., Parmeswaran, V.: Quasi-static stress fields for a crack inclined to the property gradation in functionally graded materials. Acta Mech. 162, 167-184 (2003).
6. Parameswaran, V., Shukla, A.: Asymptotic stress fields for stationary cracks along the gradient in functionally graded materials. Trans. ASME 69, 2400-243 (2002).
7. Müller, E., Drašar, C., Schilz, J., Kaysser, W. A.: Functionally graded materials for sensor and energy applications. Mat. Sci. Eng. A. 362, 17-39 (2003).
8. Pompe, W., Worch, H., Epple, E., Friess, W., Gelinsky M., Greil, P., Hempel, U., Scharnweber, D., Schulte, K.: Functionally graded materials for biomedical applications. Mat. Sci. Eng. A. 362, 40-60 (2003).
9. Li, C. Y., Weng, G. J., Dunn, Z. P., Zou, Z.: Dynamic stress intensity factor of a functionally graded material under antiplane shear loading. Acta Mech. 149, 1-10 (2001).
10. Erdogan, F.: Fracture mechanics of functionally graded materials. Comp. Eng. 5, 753-770 (1995).
11. Jin, Z. H., Batra, R. C.: Some fracture mechanics concepts in functionally graded materials. J. Mech. Phys. Solids 44, 1221-1235 (1996).
12. Gu, P., Asaro, R. J.: Cracks in functionally graded materials. Int. J. Solids Struct. 34, 1-17 (1997).
13. Delale, F., Erdogan, F.: The crack problem for a nonhomogeneous plane. J. Appl. Mech. 50, 67-80 (1983).
14. Nakagaki, M., Sasaki, H., Hagihara, S.: A study of crack in functionally graded materials under dynamic loading. PVP-Dynamic Fracture, Failure and Deformations, ASME 300, 1-6 (1995).
15. Parameswaran, V., Shukla, A.: Dynamic fracture of a functionally fracture in functionally gradient materials. J. Mater Sci. 33, 3303-3311 (1998).
16. Parmeswaran, V., Shukla, A.: Crack-tip stress field for dynamic fracture in functionally graded materials. Mech. Mater. 31, 579-596 (1999).
17. Chalivendra, V. B., Shukla, A., Parmeswaran, V.: Dynamic out of plane displacement fields for an inclined crack in graded materials. J. Elasticity 69, 99-199 (2003).
18. Freund, L. B.: Dynamic fracture mechanics. Cambridge: Cambridge University Press, 1990.
19. Parmeswaran, V., Shukla, A.: Processing and characterization of a model functionally gradient material. J. Mat. Sci. 35, 21-29 (2000).
20. Parmeswaran, V., Shukla, A.: Near-tip out of plane displacement fields for dynamic crack propagation in functionally graded materials. Mech. Res. Comm. 29, 397-405 (2002).
21. Sanford, R. J., Dally, J. W.: A general method for determining the mixed mode stress intensity factors from isochromatics fringe patterns. Eng. Fract. Mech. 11, 621-633 (1979).
22. Dudeerar, T. D., Gorman, H. J.: The Determination of mode I factors by holographic interferometry. Exp. Mech. 11, 41-247 (1989).
23. Post, D., Bacarat, W. A.: High-sensitivity Moiré interferometry-a simplified approach. Exp Mech. 21, 100-104 (1981).
24. Rosakis, A. J.: Application of coherent gradient sensing (CGS) to the investigation of dynamic fracture problems. Optics and Lasers in Engineering 19, 3-41 (1993).