Abstract
Current nanoindentation techniques for the measurement of creep properties are applicable to viscoplastic materials with negligible elastic deformations. A new technique for characterization of creep behavior is needed for situations where the elastic deformation plays a significant role. In this paper, the effect of elastic deformation on the determination of creep parameters using nanoindentation with a self-similar nanoindenter tip is evaluated using finite element analysis (FEA). It is found that the creep exponent measured from nanoindentation without taking into account of the contribution of elastic deformation tends to be higher than the actual value. An effective correction method is developed to consider the elastic deformation in the calculation of creep parameters. FEA shows that this method provides accurate creep exponent. The creep parameters, namely the creep exponent and activation energy, were measured for three types of reflowed solder bumps using the nanoindentation method. The measured parameters were verified using FEA. The results show that the new correction approach allows extraction of creep parameters with precision from nanoindentation data.
Similar content being viewed by others
References
Abtew, M., Guna, S.: Lead-free solders in microelectronics. Mater. Sci. Eng., R Rep. 27, 95–141 (2000)
Alkorta, J., Martínez-Esnaola, M., Sevillano, J.G.: On the elastic effects in power-law indentation creep with sharp conical indenters. J. Mater. Res. 23(01), 182–188 (2007)
Bower, A.F., Fleck, N.A., Needleman, A., Ogbonna, N.: Indentation of a power law creep solid. Proc. R. Soc. A 441, 97–124 (1993)
Cheng, Y.-T., Cheng, C.-M.: Scaling relationships in indentation of power-law creep solids using self-similar indenters. Philos. Mag. Lett. 81, 9–16 (2001)
Dorn, J.E., Shanley, F.R.: Mechanical Behavior of Materials at Elevated Temperature. McGraw-Hill, New York (1961)
Fujiwara, M., Otsuka, M.: Indentation creep of \(\beta\)–Sn and Sn–Pb eutectic alloy. Mater. Sci. Eng. A 319–321, 929–933 (2001)
Lu, H., Wang, B., Ma, J., Huang, G., Viswanathan, H.: Measurement of creep compliance of solid polymers by nanoindentation. Mech. Time-Depend. Mater. 7(3/4), 189–207 (2003)
Lucas, B.N., Oliver, W.C.: Indentation power-law creep of high-purity indium. Metall. Mater. Trans. A 30, 601–610 (1999)
Mayo, M.J., Nix, W.D.: A micro indentation study of superplasticity in Pb, Sn, and Sn-38 Wt% Pb. Acta Mater. 36, 2183–2192 (1988)
Roshanghias, A., Kokabi, A.H., Miyashita, Y., Mutoh, Y., Ihara, I., Fatt, R.G., Madaah-Hosseini, H.R.: Nanoindentation creep behavior of nanocomposite Sn–Ag–Cu solders. J. Electron. Mater. 41(8), 2057–2064 (2012)
Shen, L., Cheong, W.C.D., Foo, Y.L., Chen, Z.: Nanoindentation creep of tin and aluminium: a comparative study between constant load and constant strain rate methods. Mater. Sci. Eng. A 532, 505–510 (2012)
Shohji, I., Yoshida, T., Takahashi, T., Hioki, S.: Tensile properties of Sn–Ag based lead-free solders and strain rate sensitivity. Mater. Sci. Eng. A 366, 50–55 (2004)
Sneddon, I.N.: The relation between load and penetration in the axisymmetric Boussinesq problem for a punch of arbitrary profile. Int. J. Eng. Sci. 3, 47–57 (1965)
Su, C., Herbert, E.G., Sohn, S., LaManna, J.A., Oliver, W.C., Pharr, G.M.: Measurement of power-law creep parameters by instrumented indentation methods. J. Mech. Phys. Solids 61, 517–536 (2013)
Tu, K.: Solder Joint Technology: Materials, Properties, and Reliability. Springer, Berlin (2007)
Acknowledgements
We acknowledge the support of DOE Nuclear Energy University Program (NEUP) grant 09-416. We also thank the additional support from NSF CMMI-1031829, CMMI-1132174 and ECCS-1307997. We appreciate Huiyang Luo and Yong He at the University of Texas at Dallas for experimental setup and James Rosa at IBM for the solder sample preparation. Lu also acknowledges Louis A. Beecherl Chair for additional support.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Du, Y., Liu, X.H., Fu, B. et al. Creep characterization of solder bumps using nanoindentation. Mech Time-Depend Mater 21, 287–305 (2017). https://doi.org/10.1007/s11043-016-9330-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11043-016-9330-z