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.
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01 April 2008
An Erratum to this paper has been published: https://doi.org/10.1557/JMR.2006.0095e
References
S. Bhowmick, Z.H. Xie, M. Hoffman, V. Jayaram, S.K. Biswas: The nature of contact deformation of TiN films on steel. J. Mater. Res. 19, 2616 (2004).
S. Bhowmick, V. Jayaram, S.K. Biswas: Deconvolution of fracture properties of TiN films on steels from nanoindentation load-displacement curves. Acta Mater. 53((8)), 2459 (2005).
S. Bhowmick, R. Bhide, M. Hoffmann, V. Jayaram, S.K. Biswas: Fracture mode transitions during indentation of columnar TiN coatings on metal. Philos. Mag. 85((25)), 2927 (2005).
K.J. Ma, A. Bloyce, T. Bell: Examination of mechanical properties and failure mechanisms of TiN and Ti–TiN multilayer coatings. Surf. Coat Technol. 76–77, 297 (1995).
S. Bhowmick, A.N. Kale, V. Jayaram, S.K. Biswas: Contact damage in TiN coatings on steel. Thin Solid Films 436((2)), 250 (2003).
K.S. Lee, S.K. Lee, B.R. Lawn, D.K. Kim: Contact damage and strength degradation in brittle/quasi-plastic silicon nitride bilayers. J. Am. Ceram. Soc. 81((9)), 2394 (1998).
K.S. Lee, S. Wuttiphan, X.Z. Hu, S.K. Lee, B.R. Lawn: Contact-induced transverse fracture in brittle layers on soft substrates: A study on silicon nitride bilayers. J Am Ceram Soc. 81((3)), 571 (1998).
E. Weppelmann, 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).
M.R. Begley, A.G. Evans, J.W. Hutchinson: Contact-induced transverse fracture in brittle layers on soft substrates: A study on silicon nitride bilayers. Int. J. Solids Struct. 36, 2773 (1999).
J. Michler, E. Blank: 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).
K. Sriram, R. Narasimhan, S.K. Biswas: A numerical fracture analysis of indentation into thin hard film on soft substrates. Eng. Fract. Mech. 70((10)), 1323 (2005).
B.R. Lawn: Fracture of Brittle Solids, 2nd ed. (Cambridge University Press, Cambridge, 1993), p. 33.
B.A. Latella, B.K. Gan, K.E. Davies, D.R. McKenzie, D.G. McCulloch: Titanium nitride/vanadium nitride alloy coatings: Mechanical properties and adhesion characteristics. Surf. Coat. Technol. (2005, in press).
W. Feng, D. Yan, J. He, G. Jhang, G. Chen, W. Gu, Y. Sze: Microhardness and toughness of the TiN coating prepared by reactive plasma spraying. Appl. Surf. Sci. 243, 204 (2005).
S.J. Lloyd, J.M. Molina-Aldareguia: Multilayered materials: A palette for the materials artist. Philos. Trans. R. Soc. London A 361, 2931 (2003).
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Math, S., Jayaram, V. & Biswas, S.K. 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. Journal of Materials Research 21, 783–790 (2006). https://doi.org/10.1557/jmr.2006.0095
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DOI: https://doi.org/10.1557/jmr.2006.0095