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The correlation between indentation hardness and material properties with considering size effect

Published online by Cambridge University Press:  24 June 2014

Zhanwei Yuan*
Affiliation:
State Key Laboratory of Solidification Processing, Northwestern Polytechnical University, Xi’an 710072, China; and School of Materials Science and Engineering, Northwestern Polytechnical University, Xi’an 710072, China
Fuguo Li
Affiliation:
State Key Laboratory of Solidification Processing, Northwestern Polytechnical University, Xi’an 710072, China; and School of Materials Science and Engineering, Northwestern Polytechnical University, Xi’an 710072, China
Bo Chen
Affiliation:
State Key Laboratory of Solidification Processing, Northwestern Polytechnical University, Xi’an 710072, China; and School of Materials Science and Engineering, Northwestern Polytechnical University, Xi’an 710072, China
Fengmei Xue
Affiliation:
State Key Laboratory of Solidification Processing, Northwestern Polytechnical University, Xi’an 710072, China; and School of Materials Science and Engineering, Northwestern Polytechnical University, Xi’an 710072, China
*
a)Address all correspondence to this author. e-mail: yuanyekingfly@163.com
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Abstract

By using a two-dimensional axisymmetric finite element model, the indentation hardness has been studied with different combinations of material properties at different indentation depths. As the forward problem, the testing hardness is not only a function of material properties (E, σy, and n), indenter geometry (half apex angle, indenter shape), and friction, but also relating to the indentation depth. Based on the previous research on size effect, a model of correlation between several indentation experiment parameters (hardness H, maximum load Pm, and loading curvature C) and material properties has been derived. From simulation results, a better fitting result is obtained by the established model. Furthermore, the characteristic length h in Nix/Gao model has been rewritten and discussed with material properties accordingly.

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Articles
Copyright
Copyright © Materials Research Society 2014 

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References

REFERENCES

Gouldstone, A., Chollacoop, N., Dao, M., Li, J., Minor, A.M., and Shen, Y.L.: Indentation across size scales and disciplines: Recent developments in experimentation and modeling. Acta Mater. 55(12), 4015 (2007).CrossRefGoogle Scholar
Dao, M., Chollacoop, N., Van Vliet, K., Venkatesh, T., and Suresh, S.: Computational modeling of the forward and reverse problems in instrumented sharp indentation. Acta Mater. 49(19), 3899 (2001).CrossRefGoogle Scholar
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. Res. 7(06), 1564 (1992).CrossRefGoogle Scholar
Oliver, W. and Pharr, G.: Measurement of hardness and elastic modulus by instrumented indentation: Advances in understanding and refinements to methodology. J. Mater. Res. 19(1), 3 (2004).CrossRefGoogle Scholar
Cheng, Y-T. and Cheng, C-M.: Scaling, dimensional analysis, and indentation measurements. Mater. Sci. Eng., R 44(4), 91 (2004).CrossRefGoogle Scholar
Huang, Y., Qu, S., Hwang, K., Li, M., and Gao, H.: A conventional theory of mechanism-based strain gradient plasticity. Int. J. Plast. 20(4–5), 753 (2004).CrossRefGoogle Scholar
Nix, W.D. and Gao, H.: Indentation size effects in crystalline materials: A law for strain gradient plasticity. J. Mech. Phys. Solids 46(3), 411 (1998).CrossRefGoogle Scholar
Huang, Y., Zhang, F., Hwang, K., Nix, W., Pharr, G., and Feng, G.: A model of size effects in nano-indentation. J. Mech. Phys. Solids 54(8), 1668 (2006).CrossRefGoogle Scholar
Qu, S., Huang, Y., Pharr, G., and Hwang, K.: The indentation size effect in the spherical indentation of iridium: A study via the conventional theory of mechanism-based strain gradient plasticity. Int. J. Plast. 22(7), 1265 (2006).CrossRefGoogle Scholar
Lu, J., Suresh, S., and Ravichandran, G.: Dynamic indentation for determining the strain rate sensitivity of metals. J. Mech. Phys. Solids 51(11–12), 1923 (2003).CrossRefGoogle Scholar
Cai, J., Li, F., Liu, T., and Chen, B.: Microindentation study of Ti-6Al-4V Alloy. Mater. Des. 32(5), 2756 (2011).CrossRefGoogle Scholar
Collin, J-M., Mauvoisin, G., and Pilvin, P.: Materials characterization by instrumented indentation using two different approaches. Mater. Des. 31(1), 636 (2010).CrossRefGoogle Scholar
Durst, K., Backes, B., and Göken, M.: Indentation size effect in metallic materials: Correcting for the size of the plastic zone. Scr. Mater. 52(11), 1093 (2005).CrossRefGoogle Scholar
Ogasawara, N., Chiba, N., and Chen, X.: Representative strain of indentation analysis. J. Mater. Res. 20(8), 2225 (2005).CrossRefGoogle Scholar
Cao, Y., Xue, Z., Chen, X., and Raabe, D.: Correlation between the flow stress and the nominal indentation hardness of soft metals. Scr. Mater. 59(5), 518 (2008).CrossRefGoogle Scholar
Caceres, C. and Poole, W.: Hardness and flow strength in particulate metal matrix composites. Mater. Sci. Eng., A 332(1), 311 (2002).CrossRefGoogle Scholar
Wei, Y. and Hutchinson, J.W.: Hardness trends in micron scale indentation. J. Mech. Phys. Solids 51(11), 2037 (2003).CrossRefGoogle Scholar
Cheng, Y-T. and Cheng, C-M.: Scaling relationships in conical indentation of elastic-perfectly plastic solids. Int. J. Solids Struct. 36(8), 1231 (1999).CrossRefGoogle Scholar
Cheng, Y-T. and Cheng, C-M.: What is indentation hardness? Surf. Coat. Technol. 133, 417 (2000).CrossRefGoogle Scholar
Tabor, D.: The Hardness of Metals (Clarendon Press, Oxford, UK, 1951).Google Scholar
Ma, Q. and Clarke, D.R.: Size dependent hardness of silver single crystals. J. Mater. Res. 10, 853 (1995).CrossRefGoogle Scholar
Hibbit, K.: ABAQUS Theory and User Manuals Version 6.9 (ABAQUS Inc., Waltham, MA, 2009).Google Scholar
Mata, M. and Alcala, J.: The role of friction on sharp indentation. J. Mech. Phys. Solids 52(1), 145 (2004).CrossRefGoogle Scholar
Dieter, G.E.: Mechanical Metallurgy (McGraw-Hill, New York, 1986).Google Scholar
Cao, Y.P. and Huber, N.: Further investigation on the definition of the representative strain in conical indentation. J. Mater. Res. 21(07), 1810 (2006).CrossRefGoogle Scholar
Swadener, J., George, E., and Pharr, G.: The correlation of the indentation size effect measured with indenters of various shapes. J. Mech. Phys. Solids 50(4), 681 (2002).CrossRefGoogle Scholar
Chen, X. and Vlassak, J.J.: Numerical study on the measurement of thin film mechanical properties by means of nanoindentation. J. Mater. Res. 16(10), 2974 (2001).CrossRefGoogle Scholar
Johnson, K.: The correlation of indentation experiments. J. Mech. Phys. Solids 18(2), 115 (1970).CrossRefGoogle Scholar