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Crystal Strengths at Micro- and Nano-Scale Dimensions
Open AccessArticle

Hardness-Depth Relationship with Temperature Effect for Single Crystals—A Theoretical Analysis

by Hao Liu 1, Long Yu 2 and Xiazi Xiao 3,*
1
Department of Applied Physics, School of Physics and Electronics, Hunan University, Changsha 410082, China
2
State Key Laboratory for Turbulence and Complex System, Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing 100871, China
3
Department of Mechanics, School of Civil Engineering, Central South University, Changsha 410075, China
*
Author to whom correspondence should be addressed.
Crystals 2020, 10(2), 112; https://doi.org/10.3390/cryst10020112
Received: 23 January 2020 / Revised: 7 February 2020 / Accepted: 11 February 2020 / Published: 13 February 2020
(This article belongs to the Special Issue Crystal Plasticity at Micro- and Nano-scale Dimensions)
In this paper, a mechanistic model is developed to address the effect of temperature on the hardness-depth relationship of single crystals. Two fundamental hardening mechanisms are considered in the hardness model, including the temperature dependent lattice friction and network dislocation interaction. The rationality and accuracy of the developed model is verified by comparing with four different sets of experimental data, and a reasonable agreement is achieved. In addition, it is concluded that the moderated indentation size effect at elevated temperatures is ascribed to the accelerated expansion of the plasticity affected region that results in the decrease of the density of geometrically necessary dislocations.
Keywords: temperature effect; indentation size effect; theoretical model; nano-indentation temperature effect; indentation size effect; theoretical model; nano-indentation
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Liu, H.; Yu, L.; Xiao, X. Hardness-Depth Relationship with Temperature Effect for Single Crystals—A Theoretical Analysis. Crystals 2020, 10, 112.

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