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Master curves for Hertzian indentation on coating/substrate systems

  • Chun-Hway Hsueh (a1) and Pedro Miranda (a2)
Abstract

An analytical model was developed to derive an approximate closed-form solution for indenter displacement when a rigid spherical indenter is pressed onto a coating/substrate system. Finite element analyses were also performed to verify the analytical solution. The results showed that the solution could be obtained from the analytical expression for Hertzian indentation on a homogeneous semi-infinite elastic medium multiplied by a modification term. This modification term is a function of two ratios: (i) Young’s modulus ratio between the coating and the substrate and (ii) the ratio between the coating thickness and the contact radius. Based on this modification term, master curves for Hertzian indentation on coating/substrate systems were plotted.

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1.Hertz, H., Miscellaneous Papers by H. Hertz (Macmillan, London, U.K., 1896).
2.Johnson, K.L., Contact Mechanics (Cambridge University Press, London, U.K., 1985).
3.Pharr, G.M., Oliver, W.C. and Brotzen, F.R., J. Mater. Res. 7 613 (1992).
4.Swain, M.V. and Mencik, J., Thin Solid Films 253 204 (1994).
5.Lawn, B.R., J. Am. Ceram. Soc. 81 1977 (1998).
6.Djabella, H. and Arnell, R.D., Thin Solid Films 213 205 (1992).
7.Djabella, H. and Arnell, R.D., Thin Solid Films 223 87 (1993).
8.Sun, Y., Bloyce, A. and Bell, T., Thin Solid Films 271 122 (1995).
9.Jaffar, M.J., J. Mech. Phys. Solids 36 401 (1988).
10.Yu, H.Y.Sanday, S.C. and Rath, B.B.J. Mech. Phys. Solids 38, 745 1999
11.Yang, F., Mech. Mater. 30 275 (1998).
12.Schwarzer, N., Richter, F. and Hecht, G., Surf. Coat. Technol. 114 292 (1999).
13.Waters, N.E., Br. J. Appl. Phys. 16 557 (1965).
14.Boussinesq, J., Application des Potentials à l’etude de l’équilibre et du Mouvment des Solids élastiques (Gauthier-Villars, Paris, 1885).
15.Timoshenko, S.P. and Goodier, J.N., Theory of Elasticity (McGraw-Hill, New York, 1951).
16.Stone, D.S., J. Mater. Res. 13 3207 (1998).
17.Schwarzer, N., J. Tribol. 122 672 (2000).
18.Hsueh, C.H., Kim, J.H. and Kim, D.K., J. Mater. Res. 18 1481 (2003).
19.Miranda, P., Pajares, A., Guiberteau, F., Cumbrera, F.L. and Lawn, B.R., J. Mater. Res. 16 115 (2001).
20.Hsueh, C.H. and Miranda, P., J. Mater. Res. 18 1275 (2003).
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Journal of Materials Research
  • ISSN: 0884-2914
  • EISSN: 2044-5326
  • URL: /core/journals/journal-of-materials-research
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