Stress-Induced Phase Transformations of Micro-Crystalline Silicon Films Arising at Nanoindentations

Abstract:

The stresses and strain values at various indentation depths are applied to determine the Gibbs free energy at various phases. The intersections of the Gibbs free energy lines are used to determine the possible paths of phase transitions arising at various indentation depths. All the critical contact stresses corresponding to the various phase transitions predicted by the proposed model for the specimens treated at four annealing temperatures were found to be consistent with the experimental results. The proposed model is thus valid for predicting contact parameters using nanoindentations. The critical contact stresses for the phase transitions increased with increasing specimen annealing temperature.

• Periodical: Advanced Materials Research (Volumes 328-330)
• Pages: 910-914
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.328-330.910
• Online since: September 2011
• Authors: Chang Fu Han, Jen Fin Lin
• Keywords: Gibbs Free Energy, Indentation, Phase Transition

References

[1] A.A. Volinsky, N.R. Moody, W.W. Gerberich: Acta Mater. 50 (2002), pp.441-466.

[2] W.C. Oliver, G.M. Pharr: J. Mater. Res. 7 (1992), p.1564.

[3] M. Sakai: Acta Metal. Mater. 41 (1993), pp.1751-1758.

[4] S. Suresh, A.E. Giannakopoulos: Scripta Mater. 40 (1999), pp.1191-1198.

[5] B. Taljat, T. Zacharia, F. Kosel: Int. J. Solids Struct. 35 (1998), pp.4411-4426.

[6] J.S. Field, M.V. Swain: J. Mater. Res. 8 (1993), pp.297-306.

[7] A.C. Fischer-Cripps: Nanoindentation, Springer, New York (2004).

[8] T.F. Page, G.M. Pharr, J.C. Hay, W.C. Oliver, B.N. Lucas, E. Herbert, L. Riester: MRS Symp. Proc. 522 (1998), pp.53-64.

DOI: 10.1557/proc-522-53

[9] P.J. Wei, J.F. Lin: Surf. Coat. Tech. 200 (2005), pp.2489-2496.

[10] T. Tsuru and Y. Shibutani: Phys. Rev. B 75 (2007), 035415.

[11] J.K. Mason, A.C. Lund and C.A. Schuh: Phys. Rev. B 73 (2006), 054102.

[12] A. Makagon, M. Kachanov, S.V. Kalinin and E. Karapetian: Phys. Rev. B 76 (2007), 064115.

[13] Z.C. Pan, H. Sun and C.F. Chen: Phys. Rev. B 79 (2009), 104102.

[14] K.A. Dahmen, Y. Ben-Zion and J.T. Uhl: Phys. Rev. Lett. 102 (2009), 175501.

[15] C. Kearney, Z. Zhao, B. J. F. Bruet, R. Radovitzky, M. C. Boyce and C. Ortiz: Phys. Rev. Lett. 96 (2006), 255505.

[16] Y.T. Cheng, W.Y. Ni and C.M. Cheng: Phys. Rev. Lett. 97 (2006), 075506.

[17] A. Knoll, D. Wiesmann, B. Gotsmann and U. Duerig: Phys. Rev. Lett. 102 (2009), 117801.

[18] M. Lucas, A.M. Leach, M.T. McDowell, S.E. Hunyadi, K. Gall, C. J. Murphy and E. Riedo: Phys. Rev. B 77 (2008 ), 245420.

[19] S. K. Deb, M. Wilding, M. Somayazulu, and P. F. McMillan: Nature 414 (2001 ), p.528.

[20] S. H. Tolbert, A. B. Herhold, L. E. Brus, and A. P. Alivisatos: Phys. Rev. Lett. 76 (1996), p.4384.

[21] D. J. Lacks: Phys. Rev. Lett. 84 (2000), p.4629.

[22] G. D. Mukherjee, S. N. Vaidya, and V. Sugandhi: Phys. Rev. Lett. 87 (2001), 195501.

[23] M. Durandurdu and D. A. Drabold: Phys. Rev. B 64 (2000), 014101.

[24] M. Durandurdu and D. A. Drabold: Phys. Rev. B 67 (2000), 212101.

[25] Hibbeler R C: Mechanics of Materials Prentice Hall International, Inc (1997).

[26] C.F. Han, B.H. Wu, C.Y. Huang, J.F. Lin: J. Appl. Phys. 105 (2009), 023523.

[27] S.R. Kalidindi, S. Pathak: Acta Mater. 56 (2008), p.3523.

[28] J. Jang, M. J. Lance, S. Wen, T. Y. Tsui, and G. M. Pharr: Acta Mater. 53 (2005), p.1759.

[29] H. Bei, E. P. George, J. L. Hay, and G. M. Pharr: Phys. Rev. Lett. 95 (2005), 045501.

[30] F. Zandiehnadem and W. Y. Ching: Phys. Rev. B 41 (1990), p.162.

[31] I. Zarudi and L. C. Zhang: Tribology International 32 (1999), p.701.

[32] C.F. Han and J.F. Lin: Nano-Micro Lett. 2 (2010), pp.68-73.