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Deformation and failure of a film/substrate system subjected to spherical indentation: Part II. Prediction of failure modes in a thin TiN film deposited on a compliant elastic substrate

Published online by Cambridge University Press:  01 March 2006

S. Math ,
V. Jayaram  and
S.K. Biswas
S. Math
Affiliation:
Department of Mechanical Engineering, Indian Institute of Science, Bangalore–560012, India
V. Jayaram
Affiliation:
Department of Metallurgy, Indian Institute of Science, Bangalore–560012, India
S.K. Biswas*
Affiliation:
Department of Mechanical Engineering, Indian Institute of Science, Bangalore–560012, India
*
a) Address all correspondence to this author. e-mail: skbis@mecheng.iisc.ernet.in
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Abstract

We have demonstrated previously, using nanoindentation, that the film thickness and substrate plasticity, the important two external variables in the film layer, control the failure of the film in a mutually exclusive way. In this work, we used a non-iterative Hankel transform method to analyze the stresses in an elastic film bound to an elastic substrate by a no-slip boundary condition and subjected to a Hertzian traction. We vary the substrate compliance by two orders of magnitude to generate interfacial mismatch stresses, which mimic the corresponding changes found in a real-life elastic film on an elastic-plastic substrate when the hardness of the substrate is changed. The analysis is found to reproduce faithfully the experimental trends, which showed that normal load and interfacial stresses generated by strain mismatch drive different modes of fracture depending on the film thickness in a mutually exclusive way. This validation paves the way for this theoretical technique to be used to design multilayered film structures.

Keywords

CoatingElastic propertiesStress/strain relationship
Type
Articles
Information
Journal of Materials Research , Volume 21 , Issue 3 , March 2006 , pp. 783 - 790
Copyright
Copyright © Materials Research Society 2006

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References

REFERENCES

1.Bhowmick, S., Xie, Z.H., Hoffman, M., Jayaram, V., Biswas, S.K.: The nature of contact deformation of TiN films on steel. J. Mater. Res. 19, 2616 (2004).CrossRefGoogle Scholar
2.Bhowmick, S., Jayaram, V., Biswas, S.K.: Deconvolution of fracture properties of TiN films on steels from nanoindentation load-displacement curves. Acta Mater. 53((8)), 2459 (2005).CrossRefGoogle Scholar
3.Bhowmick, S., Bhide, R., Hoffmann, M., Jayaram, V., Biswas, S.K.: Fracture mode transitions during indentation of columnar TiN coatings on metal. Philos. Mag. 85((25)), 2927 (2005).CrossRefGoogle Scholar
4.Ma, K.J., Bloyce, A., Bell, T.: Examination of mechanical properties and failure mechanisms of TiN and Ti–TiN multilayer coatings. Surf. Coat Technol. 76–77, 297 (1995).CrossRefGoogle Scholar
5.Bhowmick, S., Kale, A.N., Jayaram, V., Biswas, S.K.: Contact damage in TiN coatings on steel. Thin Solid Films 436((2)), 250 (2003).CrossRefGoogle Scholar
6.Lee, K.S., Lee, S.K., Lawn, B.R., Kim, D.K.: Contact damage and strength degradation in brittle/quasi-plastic silicon nitride bilayers. J. Am. Ceram. Soc. 81((9)), 2394 (1998).CrossRefGoogle Scholar
7.Lee, K.S., Wuttiphan, S., Hu, X-Z., Lee, S.K., Lawn, B.R.: Contact-induced transverse fracture in brittle layers on soft substrates: A study on silicon nitride bilayers. J Am Ceram Soc. 81((3)), 571 (1998).CrossRefGoogle Scholar
8.Weppelmann, E., Swain, M.V.: 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).CrossRefGoogle Scholar
9.Begley, M.R., Evans, A.G., Hutchinson, J.W.: Contact-induced transverse fracture in brittle layers on soft substrates: A study on silicon nitride bilayers. Int. J. Solids Struct. 36, 2773 (1999).CrossRefGoogle Scholar
10.Michler, J., Blank, E.: Analysis of coating fracture and substrate plasticity induced by spherical indentors: Diamond and diamond-like carbon layers on steel substrates. Thin Solid Films 381, 119 (2001).CrossRefGoogle Scholar
11.Sriram, K., Narasimhan, R., Biswas, S.K.: A numerical fracture analysis of indentation into thin hard film on soft substrates. Eng. Fract. Mech. 70((10)), 1323 (2005).CrossRefGoogle Scholar
12.Lawn, B.R.: Fracture of Brittle Solids, 2nd ed. (Cambridge University Press, Cambridge, 1993), p. 33.CrossRefGoogle Scholar
13.Latella, B.A., Gan, B.K., Davies, K.E., McKenzie, D.R., McCulloch, D.G.: Titanium nitride/vanadium nitride alloy coatings: Mechanical properties and adhesion characteristics. Surf. Coat. Technol. (2005, in press).Google Scholar
14.Feng, W., Yan, D., He, J., Jhang, G., Chen, G., Gu, W., Sze, Y.: Microhardness and toughness of the TiN coating prepared by reactive plasma spraying. Appl. Surf. Sci. 243, 204 (2005).CrossRefGoogle Scholar
15.Lloyd, S.J., Molina-Aldareguia, J.M.: Multilayered materials: A palette for the materials artist. Philos. Trans. R. Soc. London A 361, 2931 (2003).CrossRefGoogle ScholarPubMed