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Further investigation on the definition of the representative strain in conical indentation

Published online by Cambridge University Press:  01 July 2006

Yanping Cao  and
Norbert Huber
Yanping Cao*
Affiliation:
Forschungszentrum Karlsruhe, Institut für Materialforschung II, D-76344 Eggenstein-Leopoldshafen, Germany
Norbert Huber
Affiliation:
Forschungszentrum Karlsruhe, Institut für Materialforschung II, D-76344 Eggenstein-Leopoldshafen, Germany
*
a) Address all correspondence to this author. e-mail: [email protected] or [email protected]
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Abstract

Further investigation on the definition of the representative strain in conical indentation was performed in this work. In particular, the representative strains proposed in the work of Cao et al. [J. Mater. Res.20, 1194 (2005)] and Ogasawara et al. [J. Mater. Res.20, 2225 (2005)] were discussed in detail. For the method using the energy-based representative strain [Cao et al., J. Mater. Res.20, 1194 (2005)], it is shown that it can be extended to a wider range of material properties (from nearly fully plastic materials to highly elastic materials). For the stress-state-based definition of the representative strain, we found, in contrast with the results reported in the work of Ogasawara et al. [J. Mater. Res.20, 2225 (2005)], that similar to the constant representative strain reported by Dao et al. [Acta Mater.49, 3899 (2001)], it works well only for a limited range of engineering materials. Based on this premise, novel definitions of the representative strain, which can lead to a one-to-one relationship with high level of accuracy between the reduced Young's modulus, the indentation loading curvature, and the representative stress are further presented. Detailed numerical analysis performed on nine kinds of engineering materials verified the effectiveness of the proposed representative strains and corresponding dimensionless functions. Experimental verification using the data for the ultrafine crystalline Ni further showed that the results reported in this paper have the potential to be applied in practice.

Keywords

StrengthStress/strain relationship
Type
Articles
Information
Journal of Materials Research , Volume 21 , Issue 7 , July 2006 , pp. 1810 - 1821
Copyright
Copyright © Materials Research Society 2006

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References

REFERENCES

1.Tabor, D.: Indentation hardness: Fifty years on-a personal view. Philos. Mag. A 74, 1207 (1996).CrossRefGoogle Scholar
2.Doener, M.F., Nix, W.D.: A method for interpreting the data from depth-sensing indentation instruments. J. Mater. Res. 1, 601 (1986).CrossRefGoogle Scholar
3.Oliver, W.C., Pharr, G.M.: An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. J. Mater. Res. 7, 1564 (1992).CrossRefGoogle Scholar
4.ABAQUS: Theory Manual Version 6.4 (Hibbitt, Karlsson and Sorensen Inc, Pawtucket, RI, 2004).Google Scholar
5.Cheng, Y.T., Cheng, C.M.: Relationships between hardness, elastic modulus, and the work of indentation. Appl. Phys. Lett. 73, 614 (1998).CrossRefGoogle Scholar
6.Cheng, Y.T., Cheng, C.M.: Scaling, dimensional analysis, and indentation measurements. Mater. Sci. Eng. R 44, 91 (2004).CrossRefGoogle Scholar
7.Huber, N., Tsakmakis, C.: Determination of constitutive properties from spherical indentation data using neural networks. Part I: The case of pure kinematic hardening in plasticity laws. J. Mech. Phys. Solids 47, 1569 (1999).CrossRefGoogle Scholar
8.Huber, N., Tsakmakis, C.: Determination of constitutive properties from spherical indentation data using neural networks. Part II: Plasticity with nonlinear isotropic and kinematic hardening. J. Mech. Phys. Solids 47, 1589 (1999).CrossRefGoogle Scholar
9.Huber, N., Tyulyukovskiy, E.: A new loading history for identification of viscoplastic properties by spherical indentation. J. Mater. Res. 19, 101 (2004).CrossRefGoogle Scholar
10.Tabor, D.: Hardness of Metals (Clarendon Press, Oxford, UK, 1951).Google Scholar
11.Larsson, P.L.: Investigation of sharp contact at rigid–plastic conditions. Int. J. Mech. Sci. 43, 895 (2001).CrossRefGoogle Scholar
12.Bucaille, J.L., Felder, E.: Finite-element analysis of deformation during indentation and scratch tests on elastic-perfectly plastic materials. Philos. Mag. A 82, 2003 (2002).CrossRefGoogle Scholar
13.Dao, M., Chollacoop, N., Van Vliet, K.J., Venkatesh, T.A., Suresh, S.: Computational modelling of the forward and reverse problems in instrumented sharp indentation. Acta Mater. 49, 3899 (2001).CrossRefGoogle Scholar
14.Cao, Y.P., Qian, X.Q., Lu, J., Yao, Z.H.: An energy-based method to extract plastic properties of metal materials from conical indentation tests. J. Mater. Res. 20, 1194 (2005).CrossRefGoogle Scholar
15.Ogasawara, N., Chiba, N., Chen, X.: Representative strain of indentation analysis. J. Mater. Res. 20, 2225 (2005).CrossRefGoogle Scholar
16.Capehart, T.W., Cheng, Y.T.: Determining constitutive models from conical indentation: Sensitivity analysis. J. Mater. Res. 18, 827 (2003).CrossRefGoogle Scholar
17.Alkorta, J., Martínez-Esnaola, J.M., Sevillano, J.G.: Absence of one-to-one correspondence between elastoplastic properties and sharp-indentation load–penetration data. J. Mater. Res. 20, 432 (2005).CrossRefGoogle Scholar
18.Bucaille, J.L., Stauss, S., Felder, E., Michler, J.: Determination of plastic properties of metals by instrumented indentation using different sharp indenters. Acta Mater. 51, 1663 (2003).CrossRefGoogle Scholar
19.Chollacoop, N., Dao, M., Suresh, S.: Depth-sensing instrumented indentation with dual sharp indenters. Acta Mater. 51, 3713 (2003).CrossRefGoogle Scholar
20.Cao, Y.P., Lu, J.: A new method to extract the plastic properties of metal materials from an instrumented spherical indentation loading curve. Acta Mater. 52, 4023 (2004).CrossRefGoogle Scholar
21.Cao, Y.P., Lu, J.: Depth-sensing instrumented indentation with dual indenters: Stability analysis and corresponding regularization schemes. Acta Mater. 52, 1143 (2004).CrossRefGoogle Scholar
22.Huber, N., Nix, W.D., and Gao, H.: Identification of elastic-plastic material parameters from pyramidal indentation of thin films. Proc. R. Soc. London 458, 1593 (2002).CrossRefGoogle Scholar
23.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 (1965).CrossRefGoogle Scholar
24.Hay, J.C., Bolshakov, A., Pharr, G.M.: A critical examination of the fundamental relations used in the analysis of nanoindentation data. J. Mater. Res. 14, 2296 (1999).CrossRefGoogle Scholar
25.Schwaiger, R., Moser, B., Dao, M., Chollacoop, N., Suresh, S.: Some critical experiments on the strain-rate sensitivity of nanocrystalline nickel. Acta Mater. 51, 5159 (2003).CrossRefGoogle Scholar
26.Cao, Y.P., Qian, X.Q., Lu, J.: On the determination of Young's modulus and hardness of elastoplastic materials using a single sharp indenter. J. Mater. Res. 21, 215 (2006).CrossRefGoogle Scholar