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On the determination of reduced Young's modulus and hardness of elastoplastic materials using a single sharp indenter

Published online by Cambridge University Press:  01 January 2006

Yan Ping Cao ,
Xiu Qing Qian  and
Jian Lu
Yan Ping Cao*
Affiliation:
Laboratoíre des Systèmes Mécaniques et d’ingénierie Simultanée, FRE, CNRS 2719, Université de technologie de Troyes, 10010 Troyes, France
Xiu Qing Qian
Affiliation:
Department of Engineering Mechanics, Tsinghua University, Beijing 100084, People's Republic of China
Jian Lu
Affiliation:
Laboratoíre des Systèmes Mécaniques et d’ingénierie Simultanée, FRE, CNRS 2719, Université de technologie de Troyes, 10010 Troyes, France
*
a)Address all correspondence to this author. e-mail: cypqjl@yahoo.com
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Abstract

In this work, we analyzed the theoretical errors of reduced Young's modulus and hardness of materials provided by single sharp indenter algorithms. According to the analysis, two conclusions can be drawn. First, various methods that use only the indentation loading and unloading curves from a single sharp indenter and omit the effect of the strain hardening exponent own the same widths of the theoretical error bands defined here. They are WEb for reduced Young's modulus and WHb for hardness. Second, the upper-bounds, BUE and BUH, and lower-bounds, BLE and BLH, of theoretical errors of the measured reduced Young's modulus and hardness might be different for different methods. These conclusions, on the one hand, are relevant to the evaluation of various established single sharp indenter algorithms. On the other hand, they provide useful information (i.e., to optimize the theoretical error bounds) for correcting an established method and the development of new single sharp indenter algorithms. According to the conclusions, an energy-based method has been devised to determine reduced Young's modulus and hardness of materials from nanoindentation tests using a standard Berkovich or Vickers indenter (equivalent to a 70.3° cone). It has been shown that the present method owns the reasonable theoretical error bounds and can provide stable results in the presence of data errors.

Keywords

HardnessIndentationNanoindentation
Type
Articles
Information
Journal of Materials Research , Volume 21 , Issue 1 , January 2006 , pp. 215 - 224
Copyright
Copyright © Materials Research Society 2006

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