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An energy-based method to extract plastic properties of metal materials from conical indentation tests

Published online by Cambridge University Press:  03 March 2011

Yan Ping Cao ,
Xiu Qing Qian ,
Jian Lu  and
Zhen Han Yao
Yan Ping Cao
Affiliation:
Laboratoire des systèmes mécaniques et díngénierìe simultanée, FRE, CNRS 2719, Université de technologie de Troyes, Troyes 10010, France
Xiu Qing Qian
Affiliation:
Department of Engineering Mechanics, Tsinghua University, Beijing 100084, People's Republic of China
Jian Lu*
Affiliation:
Laboratoire des systèmes mécanique et dingénierie simultanée, FRE, CNRS 2719, Université de technologie de Troyes, Troyes 10010, France
Zhen Han Yao
Affiliation:
Department of Engineering Mechanics, Tsinghua University, Beijing 100084, People's Republic of China
*
a) Address all correspondence to this author. e-mail: [email protected]
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Abstract

Based on dimensional analysis and finite element computations, an energy-based representative strain for conical indentation in elastoplastic materials has been proposed to establish an explicitly one-to-one relationship between the representative stress σr, the indentation loading curvature C, and the ratio of reversible work We to total work Wt performed by the indenter, i.e., σr/C = F0(We/Wt), where σr is the flow stress corresponding to the representative strain. The relationship provides a very simple method to evaluate the representative stress σr from the three directly measurable quantities We, Wt, and C. Numerical examples and further theoretical analysis reveal that a unique, stable solution can be obtained from the present method for a wide range of material properties, including both highly plastic materials (e.g., Ni for which E/σy = 1070) and highly elastic materials (e.g., materials for which E/σy = 25 and n = 0.5), using indenters with different tip apex angles. Based on the representative strains and stresses given by two indenters with different tip apex angles, e.g., (σr,80, ϵr,80) and (σr,65, ϵr,65), the plastic properties of materials, i.e., the yield strength σy and strain hardening exponent n can be further determined.

Keywords

IndentationMechanical propertiesMetal
Type
Articles
Information
Journal of Materials Research , Volume 20 , Issue 5 , May 2005 , pp. 1194 - 1206
Copyright
Copyright © Materials Research Society 2005

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