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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.


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Determination of the load-independent hardness by analyzing the nanoindentation loading curves: A case study on fused silica

Show Author's information Yunbiao DUANaDanyu JIANGb( )Jin HUa
Faculty of Materials Science and Engineering, Kunming University of Science and Technology, Kunming 650093, China
State Key Laboratory of High Performance Ceramics and Superfine Microstructure, Shanghai Institute of Ceramics, Shanghai 200050, China

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.

Keywords: nanoindentation, loading curve, indentation size effect (ISE), fused silica

References(21)

[1]
SV Hainsworth, HW Chandler, TF Page. Analysis of nanoindentation load-displacement loading curves. J Mater Res 1996, 11: 1987-1995.
[2]
KY Zeng, D Rowcliffe. Analysis of penetration curves produced by sharp indentations on ceramic materials. Philos Mag A 1996, 74: 1107-1116.
[3]
YT Cheng, CM Cheng. Relationships between hardness, elastic modulus, and the work of indentation. Appl Phys Lett 1998, 73: 614-616.
[4]
AC Fischer-Cripps. Illustrative analysis of load-displacement curves in nanoindentation. J Mater Res 2007, 22: 3075-3086.
[5]
J Malzbender, G de With, J den Toonder. The P-h2 relationship in indentation. J Mater Res 2000, 15: 1209-1212.
[6]
WC Oliver, GM Pharr. An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. J Mater Res 1992, 7: 1564-1583.
[7]
KK Jha, N Suksawang, A Agarwal. Analytical method for the determination of indenter constants used in the analysis of nanoindentation loading curves. Scripta Mater 2010, 63: 281-284.
[8]
KR Gadelrab, FA Bonilla, M Chiesa. Densification modeling of fused silica under nanoindentation. J Non-Cryst Solids 2012, 358: 392-398.
[9]
JS Park, YH Lee, Y Kim, et al. Prediction of bluntness for pyramidal indenters from nanoindentation curves. Surf Coat Technol 2012, 211: 148-151.
[10]
YF Jia, YY Cui, FZ Xuan, et al. Comparison between single loading-unloading indentation and continuous stiffness indentation. RSC Adv 2017, 7: 35655-35665.
[11]
SJ Bull, TF Page, EH Yoffe. An explanation of the indentation size effect in ceramics. Philos Mag Lett 1989, 59: 281-288.
[12]
K Herrmann, NM Jennett, W Wegener, et al. Progress in determination of the area function of indenters used for nanoindentation. Thin Solid Films 2000, 377-378: 394-400.
[13]
T Sawa, K Tanaka. Simplified method for analyzing nanoindentation data and evaluating performance of nanoindentation instruments. J Mater Res 2001, 16: 3084-3096.
[14]
JH Gong, HZ Miao, ZJ Peng. On the contact area for nanoindentation tests with Berkovich indenter: Case study on soda-lime glass. Mater Lett 2004, 58: 1349-1353.
[15]
JH Gong, JJ Wu, ZD Guan. Examination of the indentation size effect in low-load Vickers hardness testing of ceramics. J Eur Ceram Soc 1999, 19: 2625-2631.
[16]
ZJ Peng, JH Gong, HZ Miao. 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.
[17]
F Fröhlich, P Grau, W Grellmann. Performance and analysis of recording microhardness tests. Phys Stat Sol (a) 1977, 42: 79-89.
[18]
H Li, RC Bradt. The microhardness indentation load/size effect in rutile and cassiterite single crystals. J Mater Sci 1993, 28: 917-926.
[19]
DY Jiang. Recent progresses in the phenomenological description for the indentation size effect in microhardness testing of brittle ceramics. J Adv Ceram 2012, 1: 38-49.
[20]
LQ Shao, DY Jiang, JH Gong. Nanoindentation characterization of the hardness of zirconia dental ceramics. Adv Eng Mater 2013, 15: 704-707.
[21]
V Keryvin, L Charleux, R Hin, et al. Mechanical behaviour of fully densified silica glass under Vickers indentation. Acta Mater 2017, 129: 492-499.
Publication history
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Publication history

Received: 18 August 2019
Accepted: 07 October 2019
Published: 04 December 2019
Issue date: December 2019

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© The author(s) 2019

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