Hostname: page-component-586b7cd67f-rdxmf Total loading time: 0 Render date: 2024-11-23T16:03:37.988Z Has data issue: false hasContentIssue false
  • English
  • Français

On determination of material parameters from loading and unloading responses in nanoindentation with a single sharp indenter

Published online by Cambridge University Press:  01 April 2006

Lugen Wang  and
S.I. Rokhlin
Lugen Wang
Affiliation:
The Ohio State University Laboratory for Multiscale Materials Processing and Characterization, Edison Joining Technology Center, Columbus, Ohio 43221
S.I. Rokhlin*
Affiliation:
The Ohio State University Laboratory for Multiscale Materials Processing and Characterization, Edison Joining Technology Center, Columbus, Ohio 43221
*
a) Address all correspondence to this author. e-mail: [email protected]
Get access

Abstract

This paper quantitatively describes the loading-unloading response in nanoindentation with sharp indenters using scaling analyses and finite element simulations. Explicit forward and inverse scaling functions for an indentation unloading have been obtained and related to those functions for the loading response [L. Wang et al., J. Material Res.20(4), 987–1001 (2005)]. The scaling functions have been obtained by fitting the large deformation finite element simulations and are valid from the elastic to the full plastic indentation regimes. Using the explicit forward functions for loading and unloading, full indentation responses for a wide range of materials can be obtained without use of finite element calculations. The corresponding inverse scaling functions allow one to obtain material properties from the indentation measurements. The relation between the work of indentation and the ratio between hardness and modulus has also been studied. Using these scaling functions, the issue of nonuniqueness of the determination of material modulus, yield stress, and strain-hardening exponent from nanoindentation measurements with a single sharp indenter has been further investigated. It is shown that a limited material parameter range in the elastoplastic regime can be defined where the material modulus, yield stress, and strain-hardening exponent may be determined from only one full indentation response. The error of such property determination from scattering in experimental measurements is determined.

Keywords

Nanostructure
Type
Articles
Information
Journal of Materials Research , Volume 21 , Issue 4 , April 2006 , pp. 995 - 1011
Copyright
Copyright © Materials Research Society 2006

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

1.Doerner, M.F., Nix, W.D.: A method for interpreting the data from depth-sensing indentation instruments. J. Mater. Res. 1, 601 (1986).CrossRefGoogle Scholar
2.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
3.Oliver, W.C., Pharr, G.M.: Measurement of hardness and elastic modulus by instrumented indentation: Advances in understanding and refinements to methodology. J. Mater. Res. 19, 3 (2004).CrossRefGoogle Scholar
4.Fischer-Cripps, A.C.: Nanoindentation, Mechanical Engineering Series (Springer-Verlag, Berlin, 2002).CrossRefGoogle Scholar
5.Tabor, D.: Indentation hardness: Fifty years on—a personal view. Philos. Mag. A 74, 1207 (1996).CrossRefGoogle Scholar
6.Bhattacharya, A.K., Nix, W.D.: Finite element simulation of indentation experiments. Int. J. Solids Struct. 24, 881 (1988).CrossRefGoogle Scholar
7.Dao, M., Chollacoop, N., Van Vliet, K.J., Venkatesh, T.A., Suresh, S.: Computational modeling of the forward and reverse problems in instrumented sharp indentation. Acta Mater. 49, 3899 (2001).CrossRefGoogle Scholar
8.Bolshakov, A., Pharr, G.M.: Influences of pileup on the measurement of mechanical properties by load and depth-sensing indentation techniques. J. Mater. Res. 13, 1049 (1998).CrossRefGoogle Scholar
9.Knapp, J.A., Follstaedt, D.M., Myers, S.M., Barbour, J.C., Friedmann, T.A.: Finite-element modeling of nanoindentation. J. Appl. Phys. 85, 1460 (1999).CrossRefGoogle Scholar
10.Sakai, M., Akatsu, T., Numata, S.: Finite element analysis for conical indentation unloading of elastic plastic materials with strain hardening. Acta Mater. 52, 2359 (2004).CrossRefGoogle Scholar
11.Mata, M., Anglada, M., Alcala, J.: Contact deformation regimes around sharp indentations and the concept of the characteristic strain. J. Mater. Res. 17, 964 (2002).CrossRefGoogle Scholar
12.Cheng, Y.T., Cheng, C.M.: Scaling approach to conical indentation in elastic-plastic solids with work hardening. J. Appl. Phys. 84, 1284 (1998).CrossRefGoogle Scholar
13.Cheng, C.M., Cheng, Y.T.: Can stress-strain relationships be obtained from indentation curves using conical and pyramidal indenters? J. Mater. Res. 14, 3493 (1999).CrossRefGoogle Scholar
14.Cheng, Y.T., Cheng, C.M.: What is indentation hardness? Surf. Coat. Technol. 133, 417 (2000).CrossRefGoogle Scholar
15.Cheng, Y.T., Li, Z., Cheng, C.M.: Scaling relationships for indentation measurements. Philos. Mag. A 82, 1821 (2002).CrossRefGoogle Scholar
16.Wang, L., Rokhlin, S.I.: Universal scaling functions for continuous stiffness nanoindentation with sharp indenters. Int. J. Solids Struct. 42, 3807 (2005).CrossRefGoogle Scholar
17.Wang, L., Ganor, M., Rokhlin, S.I.: Inverse scaling functions in nanoindentation with sharp indenters: Determination of material properties. J. Mater. Res. 20, 987 (2005).CrossRefGoogle Scholar
18.Mata, M., Alcalá, J.: Mechanical properties evaluation through indentation experiments in elasto-plastic and fully plastic contact regimes. J. Mater. Res. 18, 1705 (2003).CrossRefGoogle Scholar
19.Xu, Z.H., Rowcliffe, D.: Method to determine the plastic properties of bulk materials by nanoindentation. Philos. Mag. A 82, 1893 (2002).CrossRefGoogle Scholar
20.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
21.Chollacoop, N., Dao, M., Suresh, S.: Depth-sensing instrumented indentation with dual sharp indenters. Acta Mater. 51, 3713 (2003).CrossRefGoogle Scholar
22.Tho, K.K., Swaddiwudhipond, S., Liu, Z.S., Hua, S.: Uniqueness of reverse analysis from conical indentation tests. J. Mater. Res. 19, 2498 (2004).CrossRefGoogle Scholar
23.Tho, K.K., Swaddiwudhipond, S., Liu, Z.S., Zeng, K.: Simulation of instrumented indentation and material characterization. Mater. Sci. Eng. A 390(2005), 202–209.CrossRefGoogle Scholar
24.Alkorta, J., Martinez-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
25.Casals, O., Alcalá, J.: The duality in mechanical property extraction from Vickers and Berkovich instrumented indentation experiments. Acta Mater. 53, 3545 (2005).CrossRefGoogle Scholar
26.Joslin, D.L., Oliver, W.C.: A new method for analyzing data from continuous depth-sensing microindentation tests. J. Mater. Res. 5, 123 (1990).CrossRefGoogle Scholar
27.Wang, L., Ganor, M., Rokhlin, S.I., Grill, A.: Mechanical properties of ultra-low dielectric constant SiCOH films: Nanoindentation measurements. J. Mater. Res. 20(8), 2080 (2005).CrossRefGoogle Scholar
28.Pharr, G.M., Bolshakov, A.: Understanding nanoindentation unloading curves. J. Mater. Res. 17, 2660 (2002).CrossRefGoogle Scholar