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Quantitative evaluation of nanoindents: Do we need more reliable mechanical parameters for the characterization of materials?

  • M. R. Naimi-Jamal and G. Kaupp EMAIL logo
Published/Copyright: February 4, 2022
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International Journal of Materials Research
From the journal International Journal of Materials Research Volume 96 Issue 11

Abstract

Various sources of errors in the standard procedure according to the ISO 14577 draft for the iteration of elastic modulus and hardness of solid materials, with reference to fused quartz with its particular and unique indentation response, are pointed out on the basis of practical examples. Similar objections exist towards the use of the S2FN– 1 parameter, where S is the stiffness and FN is the normal force. It is suggested to use unambiguous mechanic characterization (at least additionally) by quantitative analysis of the loading curves in nanoindentations. These exhibit a general dependence between normal force and (displacement)3/2, the proportionality constant k being a non-iterated nanoindentation coefficient with dimension [force/length3/2] and unit [μN/nm3/2] that depends on the indenter tip geometry (pyramidal or conospherical) and is a characteristic material’s property. The validity has been demonstrated for virtually all types of materials (metals, semimetals, oxides, salts, organic molecular crystals, polymers) independent of their different bonding states. Pressure-induced phase transitions are detected by kinks in the linear plots for the loading curves well in the nanoindentation region. Crystalline materials, such as strontium titanate, exhibit far-reaching anisotropic effects along lattice axes that would strongly forbid the reference to an amorphous standard. The nanoindentation coefficient characterizes the different polymorphs and the face anisotropies. Another unambiguous mechanical characterization is given by the full work of indentation (as differentiated from the less secure plastic work of indentation). It also characterizes the face anisotropies with high precision for a given indenter as it is found proportional to (normal force)3/2, which allows for useful extrapolations.

Keywords: Anisotropy; Errors in hardness and elastic modulus; Long-range effects; Nanoindentation coefficient; Total work of nanoindentation
Prof. Dr. Gerd Kaupp University of Oldenburg, Fak. 5, OC 1 P.O. Box 2503, D-26111 Oldenburg, Germany Tel.: +49 441 7983 842 Fax: +49 441 7983 409

References

[1] Hysitron Inc.: TriboScope® Users Manual, 1999.Search in Google Scholar

[2] W.C. Oliver, G.M. Pharr: J. Mater. Res. 7 (1992) 1564.10.1557/JMR.1992.1564Search in Google Scholar

[3] T. Chudoba, F. Richter: Surf. Coat. Technol. 148 (2001) 191.10.1016/S0257-8972(01)01340-8Search in Google Scholar

[4] K.M. McElhaney, J.J. Vlassak, W.D. Nix: J. Mater. Res. 13 (1998) 1300.10.1557/JMR.1998.0185Search in Google Scholar

[5] B. Wolf, A. Richter, M. Günther: Z. Metallkd. 94 (2003) 807.10.3139/146.030807Search in Google Scholar

[6] K. Herrmann, N.M. Jennett, S. Kuypers, I. McEntegaart, C. Ingelbrecht, U.D. Hangen, T. Chudoba, F. Pohlenz, F. Menelao: Z. Metallkd. 94 (2003) 802.10.3139/146.030802Search in Google Scholar

[7] H. Li, R.C. Bradt: J. Hard Metals 3 (1992) 403.Search in Google Scholar

[8] T.Y. Tsui, W.C. Oliver, G.M. Pharr: Mater. Res. Soc. Symp. Proc. 436 (1997) 147.10.1557/PROC-436-147Search in Google Scholar

[9] J. Thurn, R.F. Cook: J. Mater. Res. 17 (2002) 1143.10.1557/JMR.2002.0169Search in Google Scholar

[10] J.R. Tuck, A.M. Korsunsky, S.J. Bull, R.I. Davidson: Surf. Coat. Technol.137 (2001) 217.10.1016/S0257-8972(00)01063-XSearch in Google Scholar

[11] Y.T. Cheng, C.M. Cheng: Appl. Phys. Lett. 73 (1998) 614.10.1063/1.121873Search in Google Scholar

[12] G. Kaupp, M.R. Naimi-Jamal: Z. Metallkd. 95 (2004) 297.10.3139/146.017952Search in Google Scholar

[13] M. Sakai: J. Mater. Res. 14 (1999) 3630.10.1557/JMR.1999.0490Search in Google Scholar

[14] T. Chudoba: Forschungszentrum Rossendorf e. V., Bericht FRZ-129 (1996) 49.Search in Google Scholar

[15] T.F. Page, G.M. Pharr, J.C. Hay, W.C. Oliver, B.N. Lucas, E. Herbert, L. Riester: Mater. Res. Soc. Symp. Proc. 522 (1998) 53.10.1557/PROC-522-53Search in Google Scholar

[16] S.V. Hainsworth, H.W. Chandler, T.F. Page: J. Mater. Res. 11 (1995) 1987.10.1557/JMR.1996.0250Search in Google Scholar

[17] S.V. Hainsworth, T.F. Page: Mater. Res. Soc. Symp. Proc. 436 (1997) 171.10.1557/PROC-436-171Search in Google Scholar

[18] A.C. Fischer-Cripps: Nanoindentation, Mechanical Engineering Series, Springer, New York, 2002, at various locations.10.1007/978-0-387-22462-6Search in Google Scholar

[19] K. Trachenko, M. Dove: Phys. Rev. B 67 (2003) 212203/1.10.1103/PhysRevB.67.212203Search in Google Scholar

[20] S. Matthes: Mineralogie (3), Springer, Berlin, 1990, p. 55.10.1007/978-3-662-26804-9Search in Google Scholar

[21] A. Okazaki, N. Ohama, B.T.M. Willis, Y. Iwata, H.J. Scheel, K.A. Mueller: Phase Trans. 3 (1983) 339.10.1080/01411598308244080Search in Google Scholar

[22] H. Fujishita, Y. Shiozaki, E. Sawaguchi: J. Phys. Soc. Jpn. 46 (1979) 581.10.1143/JPSJ.46.581Search in Google Scholar

[23] R. Ahuja, S. Rekhi, B. Johansson: Phys. Rev. B 63 (2001) 212101/1.10.1103/PhysRevB.63.212101Search in Google Scholar

[24] J.M. Leger, H. Aloualiti: Solid State Commun. 79 (1991) 901.10.1016/0038-1098(91)90440-7Search in Google Scholar

[25] M. Sakai: Acta metall. mater. 41 (1993) 1751.10.1016/0956-7151(93)90194-WSearch in Google Scholar
Received: 2004-10-27
Accepted: 2005-03-11
Published Online: 2022-02-04

© 2005 Carl Hanser Verlag, München

Articles in the same Issue

  1. Frontmatter
  2. Editorial
  3. nanomech 5
  4. Articles Basic
  5. Quantitative evaluation of nanoindents: Do we need more reliable mechanical parameters for the characterization of materials?
  6. Nanoindentation investigation of solid-solution strengthening in III-V semiconductor alloys
  7. Comparison between conventional Vickers hardness and indentation hardness obtained with different instruments
  8. On the pressure dependence of the indentation modulus
  9. A review on the reverse analysis for the extraction of mechanical properties using instrumented Vickers indentation
  10. Articles Applied
  11. Quasi-static and dynamic depth-sensing indentation measurements to characterize wear and mar resistance of coating–polymer systems
  12. Obtaining mechanical parameters for metallisation stress sensor design using nanoindentation
  13. Direct measurement of nanoindentation area function by metrological AFM
  14. A usable concept for the indentation of thin porous films
  15. Analysis of the ductile/brittle transition during a scratch test performed into polymeric film deposited on a PMMA substrate
  16. Nanomechanical and nanotribological properties of polymeric ultrathin films for nanoimprint lithography
  17. Adhesive and nanomechanical properties of polymeric films deposited on silicon
  18. Modelling of the nanoindentation process of ultrathin films
  19. Regular articles
  20. Experimental investigation and thermodynamic calculation in the Al–Be–Si ternary system
  21. Thermodynamic assessment of the Ca–Sn system
  22. Interfacial reaction between Cu and Ti2SnC during processing of Cu–Ti2SnC composite
  23. Effects of heat treatment on the lubricated sliding wear behaviour of zinc-based alloy containing nickel under varying test conditions
  24. Influence of Ce, K, and Na on spheroidization of eutectic carbides in low-tungsten white cast iron
  25. Notifications/Mitteilungen
  26. Personal/Personelles
  27. Press/Presse
https://doi.org/10.1515/ijmr-2005-0214
Keywords for this article
Anisotropy; Errors in hardness and elastic modulus; Long-range effects; Nanoindentation coefficient; Total work of nanoindentation

Articles in the same Issue

  1. Frontmatter
  2. Editorial
  3. nanomech 5
  4. Articles Basic
  5. Quantitative evaluation of nanoindents: Do we need more reliable mechanical parameters for the characterization of materials?
  6. Nanoindentation investigation of solid-solution strengthening in III-V semiconductor alloys
  7. Comparison between conventional Vickers hardness and indentation hardness obtained with different instruments
  8. On the pressure dependence of the indentation modulus
  9. A review on the reverse analysis for the extraction of mechanical properties using instrumented Vickers indentation
  10. Articles Applied
  11. Quasi-static and dynamic depth-sensing indentation measurements to characterize wear and mar resistance of coating–polymer systems
  12. Obtaining mechanical parameters for metallisation stress sensor design using nanoindentation
  13. Direct measurement of nanoindentation area function by metrological AFM
  14. A usable concept for the indentation of thin porous films
  15. Analysis of the ductile/brittle transition during a scratch test performed into polymeric film deposited on a PMMA substrate
  16. Nanomechanical and nanotribological properties of polymeric ultrathin films for nanoimprint lithography
  17. Adhesive and nanomechanical properties of polymeric films deposited on silicon
  18. Modelling of the nanoindentation process of ultrathin films
  19. Regular articles
  20. Experimental investigation and thermodynamic calculation in the Al–Be–Si ternary system
  21. Thermodynamic assessment of the Ca–Sn system
  22. Interfacial reaction between Cu and Ti2SnC during processing of Cu–Ti2SnC composite
  23. Effects of heat treatment on the lubricated sliding wear behaviour of zinc-based alloy containing nickel under varying test conditions
  24. Influence of Ce, K, and Na on spheroidization of eutectic carbides in low-tungsten white cast iron
  25. Notifications/Mitteilungen
  26. Personal/Personelles
  27. Press/Presse
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