We develop geometric and mathematical models of the Berkovich pyramid capable of the correct evaluation of hardness within the nanorange depending on the degree of wear of the vertex. It is shown that, by using a spheroconical indenter, one can determine, with high reliability, the character of changes in the surface and bulk hardnesses depending on the load in the course of indentation of the standard measures of hardness. The direct and reverse size effects are experimentally detected for the analyzed measurement data.
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Yu. I. Golovin, ”Investigation of the mechanical properties of materials by the methods of nanoindentation (a survey),” Zavod. Lab., Diagnost. Mater., 75, No. 2, 37–53 (2009).
V. A Belous, V. S. Pavlov, and G. N. Tolmacheva, “Nanoindentation of the surface layers of materials,” Vopr. Atom. Nauki Tekh., Ser. Vak., Chist. Mater., Sverkhprovod., No. 6, 146–148 (2009).
Metallic Materials. Instrumented Indentation Test for Hardness and Materials Parameters, Part 1: Test Method: ISO 14577, Switzerland: ISO Central Secretariat (2002).
V. I. Moshchenok, New Methods for the Determination of Hardness of Materials [in Russian], KhNADU, Kharkov (2013).
Yu. V. Mil'man, H. M. Nykyforchyn, K. E. Hrinkevych, O. T. Tsyrul'nyk, I. V. Tkachenko, V. A. Voloshyn, and L. V. Mordel', “Assessment of the in-service degradation of pipeline steel by destructive and nondestructive methods,” Fiz.-Khim. Mekh. Mater., 47, No. 5, 13–18 (2011); English translation: Mater. Sci., 47, No. 5, 583–589 (2011).
W. C. Oliver and G. M. Pharr, “An improved technique for determining hardness and elastic moduli using load and displacement sensing indentation experiments,” J. Mater. Res., 7, No. 6, 1564–1583 (1992).
Abu Al-Rub, K. Rashid, and G. Z. Voyiadjis, “Analytical and experimental determination of the material intrinsic length scale of strain gradient plasticity theory from micro- and nano-indentation experiments,” Int. J. Plasticity, No. 20, 1139–1182 (2004).
L. He, Mechanical Behaviour of Human Enamel and the Relationship to Its Structural and Compositional Characteristics, Univ. Sydney, Sydney (2008).
Nano Test Materials Testing Platform, Two Copyright Micro Materials Limited, Micro Materials Ltd., Wrexham, UK (2000).
K. Sangwal, “On the reverse indentation size effect and microhardness measurement of solids,” Mater. Chem. Phys., 63, No. 2, 145–152 (2000).
C. Chuenarrom, B. Pojjanut, and D. Paitoon, “Effect of indentation load and time on Knoop and Vickers microhardness tests for enamel and dentin,” Mater. Res., 12, No. 4, 473–476 (2009).
K. Sangwal, “Review: Indentation size effect, indentation cracks, and microhardness measurement of brittle crystalline solids—some basic concepts and trends,” Cryst. Res. Technol., 44, No. 10, 1019–1037 (2009).
O. Sahin, O. Uzun, U. Kolemen, B. Duzgun, and N. Ucar, “Indentation size effect and microhardness study of β -Sn single crystals,” Chin. Phys. Lett., 22, No. 12, 3137–3140 (2005).
Translated from Fizyko-Khimichna Mekhanika Materialiv, Vol. 53, No. 2, pp. 102–108, March–April, 2017.
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Moshchenok, V.I., Lalazarova, N.A., Moshchenok, A.V. et al. Evaluation of the Nanohardness of Materials by Using a Spheroconical Indenter. Mater Sci 53, 243–249 (2017). https://doi.org/10.1007/s11003-017-0068-9
- Berkovich pyramid
- surface nanostructurization