Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-24T15:52:38.410Z Has data issue: false hasContentIssue false
  • English
  • Français

Introduction of the real tip defect of Berkovich indenter to reproduce with FEM nanoindentation test at shallow penetration depth

Published online by Cambridge University Press:  05 January 2012

Joël Krier ,
Jacques Breuils ,
Leandro Jacomine  and
Herve Pelletier
Joël Krier
Affiliation:
Institut National des Sciences Appliquées de Strasbourg, F-67034 Strasbourg, France
Jacques Breuils
Affiliation:
Institut National des Sciences Appliquées de Strasbourg, F-67034 Strasbourg, France
Leandro Jacomine
Affiliation:
Institut Charles Sadron, CNRS UPR22, F-67034 Strasbourg Cedex2, France
Herve Pelletier*
Affiliation:
Institut Charles Sadron, CNRS UPR22, F-67034 Strasbourg Cedex2, France
*
a)Address all correspondence to this author. e-mail: [email protected]
Get access

Abstract

Indentations tests have been performed on two standard materials SiO2 and Si (100) using two Berkovich indenters presenting different tip defects. Estimations of the tip radii deduced from analyses of maximal applied load versus contact depth and stiffness versus contact depth curves have been compared for experimental observation of each indenter tip obtained with atomic force microscopy (AFM). Results indicate that the determination of the tip defect from data extracted form load–displacement curves is partly dependent on the mechanical properties of the tested material. Then, an original study is proposed to evidence the influence of the tip defect on mechanical response during indentation. Experimental AFM observations of the tip indenter geometries have been introduced in finite element software MSC MARC to reproduce indentation tests on bulk material surfaces. We demonstrated at very shallow penetration depth (less than 50 nm) that the real indenter tip defects have to be considered in the simulation runs, especially to identify accurately the rheological parameters of the tested surface.

Keywords

NanoindentationSimulation
Type
Reviews
Information
Journal of Materials Research , Volume 27 , Issue 1: Focus Issue: Instrumented Indentation , 14 January 2012 , pp. 28 - 38
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

1.Li, X. and Bhushan, B.: A review of nanoindentation continuous stiffness measurement technique and its applications. Mater. Charact. 48, 11 (2002).CrossRefGoogle Scholar
2.Pharr, G.M.: Measurement of mechanical properties by ultra-low load indentation. Mater. Sci. Eng., A 253, 151 (1998).CrossRefGoogle Scholar
3.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, 1564 (1992).CrossRefGoogle Scholar
4.Loubet, J.L., Bauer, M., Tonck, A., Bec, S., and Gauthier Manuel, B.: Mechanical properties and deformation behavior of materials having ultra-fine microstructures (Kluwer Academic, Dordrecht, 1993), pp. 429–447.CrossRefGoogle Scholar
5.Wang, T.H., Fang, T-H., and Lin, Y-C.: A numerical study of factors affecting the characterization of nanoindentation on silicon. Mater. Sci. Eng., A 447, 244 (2007).CrossRefGoogle Scholar
6.Chen, K-S., Chen, T-C., and Ou, K-S.: Development of semi-empirical formulation for extracting materials properties from nanoindentation measurements: Residual stresses, substrate effect, and creep. Thin Solid Films 516, 1931 (2008).CrossRefGoogle Scholar
7.Lichinchi, M., Lenardi, C., Haupt, J., and Vitali, R.: Simulation of Berkovich nanoindentation experiments on thin films using finite element method. Thin Solid Films 312, 240 (1998).CrossRefGoogle Scholar
8.Pelletier, H., Krier, J., Mille, P., and Cornet, A.: Limits of using bilinear stress–strain curve for finite element modeling of nanoindentation response on bulk materials. Thin Solid Films 379, 147 (2000).CrossRefGoogle Scholar
9.Pelletier, H., Krier, J., and Mille, P.: Characterization of mechanical properties of thin films using nanoindentation test. Mech. Mater. 38, 1182 (2006).CrossRefGoogle Scholar
10.Meza, J.M., Moré Farias, M.C., Martinz de Souza, R., and Cruz Riano, L.J.: Using the ratio: Maximum load over unload stiffness squared, Pm/Su2, on the evaluation of machine stiffness and area function of blunt indenters on depth-sensing indentation equipment. Mater. Res. 10(4), 437 (2007).CrossRefGoogle Scholar
11.Chen, W., Li, M., Zhang, T., Cheng, Y.T., and Cheng, C.M.: Influence of the indenter tip roundness on hardness behavior in nanoindentation. Mater. Sci. Eng., A 445–446, 323 (2007).CrossRefGoogle Scholar
12.Rodriguez Pulecio, S.A., Moré Farias, M.C., and Matinz Souza, R.: Analysis of the tip roundness effects on the micro- and macroindentation response of elastic-plastic materials. J. Mater. Res. 24, 1037 (2009).CrossRefGoogle Scholar
13.Hainsworth, S.V., Chandler, H.W., and Page, T.F.: Analysis of nanoindentation load–displacement loading curves. J. Mater. Res. 11, 1987 (1996).CrossRefGoogle Scholar
14.Malzbender, J., Width, G.D., and Toonder, J.D.: The P-h2 relationship in indentation. J. Mater. Res. 15, 1209 (2000).CrossRefGoogle Scholar
15.Fischercripps, A.C.: Critical review of analysis and interpretation of nanoindentation test data. Surf. Coat. Technol. 200, 4153 (2006).CrossRefGoogle Scholar
16.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(1), 47 (1965).CrossRefGoogle Scholar
17.Pharr, G.M., Oliver, W.C., and Brotzen, F.R.: On the generality of the relationship among contact stiffness, contact area, and elastic modulus during indentation. J. Mater. Res. 7, 613 (1992).CrossRefGoogle Scholar
18.Hay, J.C., Bolshakov, A., and 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
19.Troyon, M. and Lafaye, S.: About the importance of introducing a correction factor in the Sneddon relationship for nanoindentation measurements. Philos. Mag. 86, 5299 (2006).CrossRefGoogle Scholar
20.Hoschstetter, G., Jimenez, A., and Loubet, J.L.: Strain-rate effects on hardness of glassy polymers in the nanoscale range. Comparison between quasi-static and continuous stiffness measurements. J. Macromol. Sci. Phys., B 38, 681 (1999).CrossRefGoogle Scholar
21.Sakharova, N.A., Fernandes, J.V., Antunes, J.M., and Oliveira, M.C.: Comparison between Berkovich, Vickers and conical indentation tests: A three-dimensional numerical simulation study. Int. J. Solids Struct. 46, 1095 (2009).CrossRefGoogle Scholar
22.Casals, O. and Alcala, J.: The duality in mechanical property extractions from Vickers and Berkovich instrumented indentation experiments. Acta Mater. 53, 3545 (2005).CrossRefGoogle Scholar
23.Warren, A.W. and Guo, Y.B.: Machined surface properties determined by nanoindentation: Experimental and FEA studies on the effects of surface integrity and tip geometry. Surf. Coat. Technol. 201, 423 (2006).CrossRefGoogle Scholar
24.Gong, J., Miao, H., and Peng, Z.: On the contact area for nanoindentation tests with Berkovich indenter: Case study on soda-lime glass. Mater. Lett. 58, 1349 (2004).CrossRefGoogle Scholar
25.Panich, N. and Yong, S.: Improved method to determine the hardness and elastic moduli using nano-indentation. KMITL Sci. J. 5, 483 (2005).Google Scholar
26.Sun, Y., Bell, T., and Zheng, S.: Finite element analysis of the critical ratio of coating thickness to indentation depth for coating property measurements by nanoindentation. Thin Solid Films 258, 198 (1995).CrossRefGoogle Scholar
27.Aldrich-Smith, G., Jennett, N.M., and Hangen, U.: Direct measurement of nanoindentation area function by metrological AFM. Z. Metallkd. 96, 1267 (2005).CrossRefGoogle Scholar