Abstract
The nanoindentation loading curves measured on fused silica were analyzed based on the theoretical relationship derived by Malzbender et al. (J Mater Res 2000, 15: 1209–1212). It was found that the ratio of the applied load to the square of the displacement, P/(h + hd)2, does not keep constant during loading segment of the nanoindentation test. Considering the existence of the indentation size effect, an empirical method for the determination of the load-independent hardness by analyzing the nanoindentation loading curves was proposed.
Article PDF
Avoid common mistakes on your manuscript.
References
Hainsworth SV, Chandler HW, Page TF. Analysis of nanoindentation load-displacement loading curves. J Mater Res 1996, 11: 1987–1995.
Zeng KY, Rowcliffe D. Analysis of penetration curves produced by sharp indentations on ceramic materials. Philos Mag A 1996, 74: 1107–1116.
Cheng YT, Cheng CM. Relationships between hardness, elastic modulus, and the work of indentation. Appl Phys Lett 1998, 73: 614–616.
Fischer-Cripps AC. Illustrative analysis of load-displacement curves in nanoindentation. J Mater Res 2007, 22: 3075–3086.
Malzbender J, de With G, den Toonder J. The P–h 2 relationship in indentation. J Mater Res 2000, 15: 1209–1212.
Oliver WC, Pharr GM. An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. J Mater Res 1992, 7: 1564–1583.
Jha KK, Suksawang N, Agarwal A. Analytical method for the determination of indenter constants used in the analysis of nanoindentation loading curves. Scripta Mater 2010, 63: 281–284.
Gadelrab KR, Bonilla FA, Chiesa M. Densification modeling of fused silica under nanoindentation. J Non-Cryst Solids 2012, 358: 392–398.
Park JS, Lee YH, Kim Y, et al. Prediction of bluntness for pyramidal indenters from nanoindentation curves. Surf Coat Technol 2012, 211: 148–151.
Jia YF, Cui YY, Xuan FZ, et al. Comparison between single loading–unloading indentation and continuous stiffness indentation. RSC Adv 2017, 7: 35655–35665.
Bull SJ, Page TF, Yoffe EH. An explanation of the indentation size effect in ceramics. Philos Mag Lett 1989, 59: 281–288.
Herrmann K, Jennett NM, Wegener W, et al. Progress in determination of the area function of indenters used for nanoindentation. Thin Solid Films 2000, 377–378: 394–400.
Sawa T, Tanaka K. Simplified method for analyzing nanoindentation data and evaluating performance of nanoindentation instruments. J Mater Res 2001, 16: 3084–3096.
Gong JH, Miao HZ, Peng ZJ. On the contact area for nanoindentation tests with Berkovich indenter: Case study on soda-lime glass. Mater Lett 2004, 58: 1349–1353.
Gong JH, Wu JJ, Guan ZD. Examination of the indentation size effect in low-load Vickers hardness testing of ceramics. J Eur Ceram Soc 1999, 19: 2625–2631.
Peng ZJ, Gong JH, Miao HZ. On the description of indentation size effect in hardness testing for ceramics: Analysis of the nanoindentation data. J Eur Ceram Soc 2004, 24: 2193–2201.
Fröhlich F, Grau P, Grellmann W. Performance and analysis of recording microhardness tests. Phys Stat Sol (a) 1977, 42: 79–89.
Li H, Bradt RC. The microhardness indentation load/size effect in rutile and cassiterite single crystals. J Mater Sci 1993, 28: 917–926.
Jiang DY. Recent progresses in the phenomenological description for the indentation size effect in microhardness testing of brittle ceramics. J Adv Ceram 2012, 1: 38–49.
Shao LQ, Jiang DY, Gong JH. Nanoindentation characterization of the hardness of zirconia dental ceramics. Adv Eng Mater 2013, 15: 704–707.
Keryvin V, Charleux L, Hin R, et al. Mechanical behaviour of fully densified silica glass under Vickers indentation. Acta Mater 2017, 129: 492–499.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.
The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
About this article
Cite this article
Duan, Y., Jiang, D. & Hu, J. Determination of the load-independent hardness by analyzing the nanoindentation loading curves: A case study on fused silica. J Adv Ceram 8, 583–586 (2019). https://doi.org/10.1007/s40145-019-0355-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s40145-019-0355-z