Deformation and failure of a film/substrate system subjected to spherical indentation: Part I. Experimental validation of stresses and strains derived using Hankel transform technique in an elastic film/substrate system

Journal of Materials Research

Volumn 21, Issue 3, 2006, Pages 774-782

  Math, Souvik ^a   Jayaram, V ^a   Biswas, S K ^a  

^a INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; DEFORMATION; DEPOSITION; FAILURE (MECHANICAL); GLUES; INDENTATION; MATHEMATICAL TRANSFORMATIONS; STRAIN; STRESS CONCENTRATION; SUBSTRATES; THIN FILMS;

ELASTIC FILM/SUBSTRATE SYSTEM; HANKEL TRANSFORM TECHNIQUE; SPHERICAL INDENTATION;

CERAMIC MATERIALS;

EID: 33645102973     PISSN: 08842914     EISSN: None     Source Type: Journal    
DOI: 10.1557/jmr.2006.0094     Document Type: Article

References (27)

1. S. Bhowmick, A.N. Kale, V. Jayaram, and S.K. Biswas: Contact damage in TiN coatings on steel. Thin Solid Films 436(2), 250 (2003).
2. B.R. Lawn, Y. Deng, P. Miranda, A. Pajares, H. Chai, and D.K. Kim: Overview: Damage in brittle layer structures from concentrated loads. J. Mater. Res. 17(12), 3019 (2002).
3. S. Bhowmick, R. Bhide, M. Hoffmann, V. Jayaram, and S.K. Biswas: Fracture mode transitions during indentation of columnar TiN coatings on metal. Philos. Mag. (2005, in press).
4. J.W. Harding and I.N. Sneddon: The elastic stresses produced by the indentation of the plane surface of a semi-infinite elastic solid by a rigid punch. Proc. Cambridge Philos. Soc. 41, 16 (1945).
5. I.N. Sneddon: Boussineq's problem for a rigid cone. Proc. Cambridge Philos. Soc. 44, 492 (1948).
6. I.N. Sneddon: The relation between load and penetration in the axi-symmetric Boussinesq problem for a punch of arbitrary profile. Int. J. Eng. Sci. 3, 47 (1965).
7. M.J. Matthewson: Axi-symmetric contact on thin compliant coatings. J. Mech. Phys. Solids 29, 89 (1981).
8. H.D. Conway, S.M. Vogel, K.A. Farnham, and S. So: Normal and shearing contact stresses in indented strips and slabs. Int. J. Eng. Sci. 4, 343 (1966).
9. F. Yang: Thickness effect on the indentation of an elastic layer. Mater. Sci. Eng. A 358(1-2), 226 (2003).
10. S. VanderZwaag and J.E. Field: Thickness effect on the indentation of an elastic layer. Philos. Mag. A 46(1), 133 (1982).
11. H. Djabella and R.D. Arnell: Finite element analysis of the contact stresses in an elastic coating on an elastic substrate. Thin Solid Films 213, 205 (1992).
12. E. Weppelmann and M.V. Swain: Investigation of the stresses and stress intensity factors responsible for fracture of thin films during ultra-micro indentation tests with spherical indenters. Thin Solid Films 286, 111 (1996).
13. N. Schwarzer, H. Djabella, F. Richter, and R.D. Arnell: Comparison between analytical and FEM calculations for the contact problem of spherical indenters on layered materials. Thin Solid Films 270, 279 (1995).
14. N. Schwarzer, F. Richter, and G. Hecht: Comparison between analytical and FEM calculations for the contact problem of spherical indenters on layered materials. Surf Coat. Technol. 114, 292 (1999).
15. J. Li and T-W. Chow: Elastic field of a thin-film/substrate system under an axi-symmetric loading. Int. J. Solid Struct. 34, 4463 (1997).
16. C.H. Kuo and L.M. Keer: Contact stress analysis of a layered transversely isotropic half-space. J. Tribol.: Trans. ASME 114, 253 (1992).
17. W. Wang and H. Ishikawa: A method for linear elasto-static analysis of multi-layered axi-symmetrical bodies using Hankel's transform. Comp. Mech. 27, 474 (2001).
18. D.S. Stone: Elastic rebound between an indenter and a layered specimen: Part I. Model. J. Mater. Res. 13, 3207 (1998).
19. S.J. Lloyd and J.M. Molina-Aldareguia: Multilayered materials: A palette for the materials artist. Philos. Trans. R. Soc. London, A 361, 2931 (2003).
20. M. Nordin, M. Larsson, and S. Hogmark: Mechanical and tribological properties of multilayered PVD TiN/CrN, TiN/NbN, and TiN/TaN coatings on cemented carbide. Surf. Coat. Technol. 106, 234 (1998).
21. P.C. Yashar and W.D. Sproul: Nanometer scale multilayered hard coatings. Vacuum 55, 179 (1999).
22. D. Maugis: Contact, Adhesion and Rupture of Elastic Solids (Springer-Verlag, Berlin, Germany, 2000), pp. 98-112.
23. K.L. Johnson: Contact Mechanics (Cambridge University Press, Cambridge, UK, 1985), p. 139.
24. H. Gao, C.H. Chin, and J. Lee: Elastic contact versus indentation modelling of multi-layered materials. Int. J. Solid Struct. 29, 2471 (1992).
25. J.L. Loubet, J.M. Georges, and G. Meille: Vickers indentation curves for elasto-plastic materials, in Microindentation Techniques in Materials Science and Engineering, edited by P. Blau and B.R. Lawn (ASTM Specical Technical Publication, 1985), pp. 72-89.
26. R. Jayachandran, M.C. Boyce, and A.S. Argon: Mechanics of the indentation test and its use to assess the adhesion of polymeric coatings, in Adhesion Measurement of Films and Coatings, edited by K.L. Mittal VSP (1995), pp. 189-215.
27. J.S. Epstein and W.R. Lloyd: Refined methods in photoelastic stress analysis with application to fracture mechanics. Opt. Lasers Eng. 14, 185 (1991).