Experimental determination of the effective indenter shape and ε-factor for nanoindentation by continuously measuring the unloading stiffness

Journal of Materials Research

Volumn 27, Issue 1, 2012, Pages 214-221

  Merle, Benoit ^a   Maier, Verena ^a   Göken, Mathias ^a   Durst, Karsten ^a  

^a UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

Author keywords

Nanoindentation

Indexed keywords

CONTACT STIFFNESS; DIRECT MEASUREMENT; DYNAMIC NANOINDENTATION; EFFECTIVE INDENTER; EFFECTIVE INDENTER SHAPE; EXPERIMENTAL DETERMINATION; LOAD-DISPLACEMENT DATA; NANO-CRYSTALLINE NICKEL; NEW EXPERIMENTAL METHOD; PHARR METHOD; SUPPLEMENTARY INFORMATION; ULTRAFINE-GRAINED; UNLOADING SEQUENCE;

INDENTATION; NANOINDENTATION; SAPPHIRE; STIFFNESS; UNLOADING;

FUSED SILICA;

EID: 84855612608     PISSN: 08842914     EISSN: 20445326     Source Type: Journal    
DOI: 10.1557/jmr.2011.245     Document Type: Article

References (27)

1. W.C. Oliver and G.M. Pharr: Improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. J. Mater. Res. 7, 1564 (1992).
2. W.C. Oliver and G.M. Pharr: Measurement of hardness and elastic modulus by instrumented indentation: Advances in understanding and refinements to methodology. J. Mater. Res. 19, 3 (2004).
3. I.N. Sneddon: The relation between load and penetration in the axisymmetric boussinesq problem for a punch of arbitrary profile. Int. J. Eng. Sci. 3, 47 (1965).
4. A. Bolshakov, W.C. Oliver, and G.M. Pharr: Explanation for the shape of nanoindentation unloading curves based on finite element simulation, in Thin Films: Stresses and Mechanical Properties V, edited by S.P. Baker, C.A. Ross, P.H. Townsend, C.A. Volkert, and P. Børgesen (Mater. Res. Soc. Symp. Proc. 356, Pittsburgh, PA, 1995), p. 675.
5. G.M. Pharr and A. Bolshakov: Understanding nanoindentation unloading curves. J. Mater. Res. 17, 2660 (2002).
6. J. Woirgard and J-C. Dargenton: An alternative method for penetration depth determination in nanoindentation measurements. J. Mater. Res. 12, 2455 (1997).
7. N. Schwarzer: Elastic surface deformation due to indenters with arbitrary symmetry of revolution. J. Phys. D: Appl. Phys. 37, 2761 (2004).
8. N. Schwarzer: Analysing nanoindentation unloading curves using Pharr's concept of the effective indenter shape. Thin Solid Films 494, 168 (2006).
9. M. Herrmann and F. Richter: Determination of Young's modulus of thin films using the concept of the effective indenter. Philos. Mag. 91, 1356 (2011).
10. P-L. Larsson, A.E. Giannakopoulos, E. Söderlund, D.J. Rowcliffe, and R. Vestergaard: Analysis of the Berkovich indentation. Int. J. Solids Struct. 33, 221 (1996).
11. J. Malzbender, G. De With, and J. Den Toonder: The P-h2. relationship in indentation. J. Mater. Res. 15, 1209 (2000).
12. Y-T. Cheng and C-M. Cheng: Scaling relationships in indentation of power-law creep solids using self-similar indenters. Philos. Mag. Lett. 81, 9 (2001).
13. B. Backes, K. Durst, and M. Göken: Determination of plastic properties of polycrystalline metallic materials by nanoindentation: Experiments and finite element simulations. Philos. Mag. 86, 5541 (2006).
14. J.L. Hay, P. Agee, and E.G. Herbert: Continuous stiffness measurement during instrumented indentation testing. Exp. Tech. 34, 86 (2010).
15. G.M. Pharr, W.C. Oliver, and F.R. Brotzen: On the generality of the relationship among contact stiffness, contact area, and elastic modulus during indentation. J. Mater. Res. 7, 613 (1992).
16. J.C. Hay, A. Bolshakov, and G.M. Pharr: Critical examination of the fundamental relations used in the analysis of nanoindentation data. J. Mater. Res. 14, 2296 (1999).
17. T. Chudoba and N.M. Jennett: Higher accuracy analysis of instrumented indentation data obtained with pointed indenters. J. Phys. D: Appl. Phys. 41, 215407 (2008).
18. G.M. Pharr, J. Strader, and W.C. Oliver: Critical issues in making small-depth mechanical property measurements by nanoindentation with continuous stiffness measurement. J. Mater. Res. 24, 653 (2009).
19. H. Natter and R. Hempelmann: Tailor-made nanomaterials designed by electrochemical methods. Electrochim. Acta 49, 51 (2003).
20. Y.J. Li, J. Mueller, H.W. Höppel, M. Göken, and W. Blum: Deformation kinetics of nanocrystalline nickel. Acta Mater. 55, 5708 (2007).
21. J. Mueller, K. Durst, D. Amberger, and M. Göken: Local investigations of the mechanical properties of ufg metals by nanoindentation. Mater. Sci. Forum 503-504, 31 (2006).
22. V. Maier, K. Durst, J. Mueller, B. Backes, H.W. Höppel, and M. Göken: Nanoindentation strain-rate jump tests for determining the local strain-rate sensitivity in nanocrystalline Ni and ultrafinegrained Al. J. Mater. Res. 26(11), 1421 (2011).
23. H.W. Höppel, J. May, and M. Göken: Enhanced strength and ductility in ultrafine grained aluminium produced by ARB. Adv. Eng. Mater. 6, 781 (2004).
24. A. Böhner, V. Maier, K. Durst, H.W. Höppel, and M. Göken: Macro-and nanomechanical properties and strain-rate sensitivity of accumulative roll bonded and equal channel angular pressed ultrafine-grained materials. Adv. Eng. Mater. 13, 251 (2011).
25. A. Bolshakov and G.M. Pharr: Influences of pileup on the measurement of mechanical properties by load and depth-sensing indentation techniques. J. Mater. Res. 13, 1049 (1999).
26. A.C. Fischer-Cripps: Illustrative analysis of load-displacement curves in nanoindentation. J. Mater. Res. 22, 3075 (2007).
27. Y-T. Cheng and C-M. Cheng: Relationships between initial unloading slope, contact depth, and mechanical properties for conical indentation in linear viscoelastic solids. J. Mater. Res. 20, 1046 (2005).