Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-18T06:35:33.590Z Has data issue: false hasContentIssue false
  • English
  • Français

A novel and simple approach for characterizing the Young’s modulus of single particles in a soft matrix by nanoindentation

Published online by Cambridge University Press:  17 December 2012

D. Leisen ,
I. Kerkamm ,
E. Bohn  and
M. Kamlah
D. Leisen*
Affiliation:
Karlsruhe Institute of Technology, Institute for Applied Materials, 76344 Eggenstein-Leopoldshafen, Germany
I. Kerkamm
Affiliation:
Robert Bosch GmbH, Corporate Sector Research and Advance Engineering, 70049 Stuttgart, Germany
E. Bohn
Affiliation:
Robert Bosch GmbH, Corporate Sector Research and Advance Engineering, 70049 Stuttgart, Germany
M. Kamlah
Affiliation:
Karlsruhe Institute of Technology, Institute for Applied Materials, 76344 Eggenstein-Leopoldshafen, Germany
*
a)Address all correspondence to this author. e-mail: [email protected]
Get access

Abstract

With regard to the micromechanical characterization of particle–matrix composites like Li-ion electrode materials, we utilized nanoindentation technique as a method for quantifying the Young’s modulus of a single ceramic particle with a diameter of a few micrometers, which was embedded in a softer polymeric matrix. For the experiments, we used reference composites having high Young’s modulus and high hardness ratios of up to 100 (particle/matrix) and filler contents of 10 and 80 vol%. We further performed finite element simulations to understand the indentation process of single particles. It was found that depending on filler content, particle size, and particle/matrix properties, a significant error up to 75% may occur when characterizing single particles by nanoindentation. We finally propose a framework by using standard nanoindentation methods with conventional data analysis as well as an additional postprocess evaluation to determine the Young’s modulus of single particles and we discuss its limitations.

Keywords

nano-indentationcompositeelastic properties
Type
Articles
Information
Journal of Materials Research , Volume 27 , Issue 24 , 28 December 2012 , pp. 3073 - 3082
Copyright
Copyright © Materials Research Society 2012

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Oliver, W.C. and Pharr, G.M.: An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. J. Mater. Sci. 7(6), 1564–1583 (1992).Google Scholar
Li, X., Diao, D., and Bushan, B.: Fracture mechanisms of thin amorphous carbon films in nanoindentation. Acta Mater. 45(11), 4453–4461 (1997).CrossRefGoogle Scholar
Antunes, J.M., Fernandes, J.V., Menezes, L.F., and Chaparro, B.M.: A new approach for reverse analyses in depth-sensing indentation using numerical simulation. Acta Mater. 55, 69–81 (2007).CrossRefGoogle Scholar
Dao, M., Chollacoop, N., Van Viliet, K.J., Venkatesh, T.A., and Suresh, S.: Computational modeling of the forward and reverse problems in instrumented sharp indentation. Acta Mater. 49, 3899–3918 (2001).CrossRefGoogle Scholar
Giannakopoulos, A.E. and Suresh, S.: Determination of elastoplastic properties by instrumented sharp indentation. Scr. Mater. 40(10), 1191–1198 (1999).CrossRefGoogle Scholar
Lepienski, C.M., Pharr, G.M., Park, Y.J., Watkins, T.R., Misra, A., and Zhang, X.: Factors limiting the measurement of residual stresses in thin films by nanoindentation. Thin Solid Films 447–447, 251–257 (2004).CrossRefGoogle Scholar
Swadener, J.G., Taljat, B., and Pharr, G.M.: Measurement of residual stress by load and depth sensing indentation with spherical indenters. J. Mater. Res. 16(7), 2091–2102 (2001).CrossRefGoogle Scholar
Fischer-Cripps, A.C.: A simple phenomenological approach to nanoindentation creep. Mater. Sci. Eng., A 385(1–2), 74–82 (2004).CrossRefGoogle Scholar
Oliver, W.C. and Pharr, G.M.: Measurement of hardness and elastic modulus by instrumented indentation: Advances in understanding and refinements to methodology. J. Mater. Res. 19(01), 3–20 (2004).CrossRefGoogle Scholar
Saha, R. and Nix, W.D.: Effects of the substrate on the determination of thin film mechanical properties by nanoindentation. Acta Mater. 50, 23–38 (2002).CrossRefGoogle Scholar
King, R.B.: Elastic analysis of some punch problems for a layered medium. Int. J. Solids Struct. 23(11), 1657–1664 (1987).CrossRefGoogle Scholar
Gao, H., Chiu, C-H., and Lee, J.: Elastic contact versus indentation modeling of multi-layered materials. Int. J. Solids Struct. 29(2), 2471–2492 (1992).Google Scholar
Dörner, M.F. and Nix, W.D.: A method for interpreting the data from depth-sensing indentation instruments. J. Mater. Res. 1(4), 601–609 (1986).CrossRefGoogle Scholar
Menčík, J., Munz, D., Quandt, E., Weppelmann, E.R., and Swain, M.V.: Determination of elastic modulus of thin layers using nanoindentation. J. Mater. Res. 12(9), 2475–2484 (1997).CrossRefGoogle Scholar
Jung, Y.G., Lawn, B.R., Martyniuk, M., Huang, H., and Hu, X.Z.: Evaluation of elastic modulus and hardness of thin films by nanoindentation. J. Mater. Res. 19(10), 3076–3080 (2004).CrossRefGoogle Scholar
Shen, Y.L. and Guo, Y.L.: Indentation modelling of heterogeneous materials. Modell. Simul. Mater. Sci. Eng. 9(5), 391 (2001).CrossRefGoogle Scholar
Kozola, B.D. and Shen, Y.L.: A mechanistic analysis of the correlation between overall strength and indentation hardness in discontinuously reinforced aluminum. J. Mater. Sci. 38(5), 901–907 (2003).CrossRefGoogle Scholar
Mussert, K.M., Vellinga, W.P., Bakker, A., and van der Zwaag, S.: A nano-indentation study on the mechanical behaviour of the matrix material in an AA6061-Al2O3 MMC. J. Mater. Sci. 37, 789–794 (2002).CrossRefGoogle Scholar
Constantinides, G., Ulm, F.J., and Van Vliet, K.: On the use of nanoindentation for cementitious materials. Mater. Struct. 36, 191–196 (2003).CrossRefGoogle Scholar
Durst, K. and Göken, M.: Finite element study for nanoindentation measurements on two-phase materials. J. Mater. Res. 19(1), 85–93 (2004).CrossRefGoogle Scholar
Li, M., Chen, W., Cheng, Y-T., and Cheng, C-M.: Influence of contact geometry on hardness behavior in nano-indentation. Vacuum 84, 315–320 (2010).CrossRefGoogle Scholar
Fischer-Cripps, A.C.: Critical review of analysis and interpretation of nanoindentation test data. Surf. Coat. Technol. 200, 4153–4165 (2006).CrossRefGoogle Scholar
Fischer-Cripps, A.C.: Nanoindentation, 2nd ed. (Springer-Verlag, New York, 2004).CrossRefGoogle Scholar
Bhattacharya, A.K. and Nix, W.D.: Finite element simulation of indentation experiments. Int. J. Solids Struct. 24(9), 881–891 (1988).CrossRefGoogle Scholar
Bolshakov, A., Oliver, W.C., and Pharr, G.M.: Finite element studies of the influence of pile-up on the analysis of nanoindentation data. MRS Proc. 436 (1996).Google Scholar