An embedded crack in a functionally graded coating bonded to a homogeneous substrate under factional Hertzian contact

Wear

Volumn 257, Issue 7-8, 2004, Pages 760-776

  El Borgi, Sami ^a   Keer, Leon ^b   Said, Wissem Ben ^a  

^a UNIVERSITY OF CARTHAGE   (Tunisia)

^b Northwestern University   (United States)

Author keywords

Crack closure; Functionally graded coating; Hertzian contact; Stress intensity factor

Indexed keywords

ALGORITHMS; CRACKS; ELECTROSTATICS; SPALLING; STRESS INTENSITY FACTORS; SUBSTRATES;

CRACK-CLOSURE ALGORITHMS; FUNCTIONALLY GRADED COATINGS; INTEGRAL TRANSFORMS; TANGENTIAL SURFACE LOADING;

COATING TECHNIQUES;

COATING;

EID: 11244269887     PISSN: 00431648     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.wear.2004.03.016     Document Type: Article

References (32)

1. F. Erdogan, Fracture mechanics of functionally graded materials, Comp. Eng. 5 (1995) 753-770.
2. J. Holt, M. Koizumi, T. Hirai, Z.A. Munir (Eds.), Functionally Gradient Materials, Ceramic Transactions, 34, The American Ceramic Society, Ohio, 1992.
3. x multilayer coatings, Surf. Coat. Technol. 154 (2002) 152-161.
4. x coatings with an equiaxed microstructure, Surf. Coat. Technol. 154 (2002) 162-166.
5. J.J. Lanutti, Functionally graded materials: properties, potential and design guidelines, Comp. Eng. 4 (1994) 81-94.
6. R.S. Dhaliwal, B.M. Singh, On the theory of elasticity of a non-homogeneous medium, J. Elast. 8 (1978) 211-219.
7. F. Delate, F. Erdogan, The crack problem for a nonhomogeneous plane, ASME J. Appl. Mech. 50 (1983) 609-614.
8. F. Erdogan, The crack problem for bonded nonhomogeneous materials under antiplane shear loading, ASME J. Appl. Mech. 52 (1985) 823-828.
9. M. Ozturk, F. Erdogan, The axisymmetric crack problem in a nonhomogeneous medium, ASME J. Appl. Mech. 44 (1993) 631-636.
10. F. Erdogan, B.H. Wu, The surface crack problem for a plate with functionally graded properties, ASME J. Appl. Mech. 64 (1997) 449-456.
11. N. Noda, Z.-H. Jin, Steady thermal stresses in an infinite nonhomogeneous elastic solid containing a crack, J. Thermal Stresses 16 (1993) 181-196.
12. Z.-H. Jin, N. Noda, Edge crack in a nonhomogeneous half plane under thermal loading, J. Thermal Stresses 17 (1994) 591-599.
13. Z.-H. Jin, N. Noda, An internal crack parallel to the boundary of a nonhomogeneous half plane under thermal loading, Int. J. Eng. Sci. 31 (1993) 793-806.
14. Z.-H. Jin, N. Noda, Transient thermal stress intensity factors for a crack in a semi-infinite plate of a functionally gradient material, Int. J. Solids Struct. 31 (1994) 203-218.
15. F. Erdogan, B.H. Wu, Crack problems in FGM layers under thermal stresses, J. Thermal Stresses 19 (1996) 237-265.
16. H. Hertz, Über die Berührung elastischer Körper, J. Reine Angewandte Mathematik 92 (1882) 156-171 (in German).
17. G.-M. Gladwell, Contact Problems in the Classical Theory of Elasticity, Kluwer Academic Publishers, 1980.
18. K.-L. Johnson, Contact Mechanics, Cambridge University Press, 1985.
19. Bakirtas, The problem of a rigid punch on a nonhomogeneous elastic half space, Int. J. Eng. Sci. 18 (1980) 597-610.
20. A.-P.-S. Selvadurai, B.-M. Singh, J. Vrbik, A Reissner-Sagoci problem for non-homogeneous elastic solid, J. Elast. 16 (1986) 383-391.
21. A.-E. Giannakopoulos, S. Suresh, Indentation of solids with gradients in elastic properties. Part II. Axisymmetric indenters, Int. J. Solids Struct. 34 (1997) 2393-2428.
22. S. Suresh, A.-E. Giannakopoulos, J. Alcala, Spherical indentation of compositionally graded materials: theory and experiments, Acta Mater. 45 (1997) 1307-1321.
23. A.-E. Giannakopoulos, P. Pallot, Two dimensional contact analysis of elastic graded materials, J. Mech. Phys. Solids 48 (2000) 1597-1631.
24. M.-A. Guler, Contact mechanics of FGM coatings, Ph.D. Dissertation, Department of Mechanical Engineering and Mechanics, Lehigh University, Bethlehem, PA, USA, 2000.
25. S. Dag, F. Erdogan, A surface crack in a graded medium loaded by a sliding rigid stamp, Eng. Fract. Mech. 69 (2002) 1729-1751.
26. H.J. Choi, Effect of graded layering on the tip behavior of a vertical crack in a substrate under frictional Hertzian contact, Eng. Fract. Mech. 68 (2001) 1033-1059.
27. C.H. Liu, LE Chen, Interface crack in a layered solid subjected to contact stresses, ASME J. Appl. Mech. 63 (1996) 271-277.
28. S. Oliveira, A.F. Bower, An analysis of fracture and delamination in thin coatings subjected to contact loading, Wear 198 (1996) 15-32.
29. A.W. Eberhardt, B.S. Kim, Stress intensity factors for a vertical surface in polyethylene subject to rolling and sliding contact, ASME J. Biomech. Eng. 120 (1998) 778-783.
30. G.R. Miller, L.M. Keer, H.S. Cheng, On the mechanics of fatigue crack growth due to contact loading, Proc. Roy. Soc. Lond. A 397 (1985) 197-209.
31. F. Erdogan, G.D. Gupta, T.S. Cook, Numerical solution of singular integral equations, in: G.C. Sih (Ed.), Mechanics of Fracture, Norrdhoff, Leyden, 1973, pp. 368-425.
32. S. El-Borgi, F. Erdogan, L. Hidri, A partially insulated embedded crack in an infinite functionally graded medium under thermo-mechanical loading, Int. J. Eng. Sci. 42 (2004) 371-393.