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Linear strain hardening in elastoplastic indentation contact

Published online by Cambridge University Press:  31 January 2011

M. Sakai ,
T. Akatsu ,
S. Numata  and
K. Matsuda
M. Sakai*
Affiliation:
Department of Materials Science, Toyohashi University of Technology, Tempaku-cho, Toyohashi 441–8580, Japan
T. Akatsu
Affiliation:
Materials and Structures Laboratory, Tokyo Institute of Technology, 4259 Nagatsuta, Midori-ku, Yokohama 226–8503, Japan
S. Numata
Affiliation:
Materials and Structures Laboratory, Tokyo Institute of Technology, 4259 Nagatsuta, Midori-ku, Yokohama 226–8503, Japan
K. Matsuda
Affiliation:
Department of Mechanical and Control Engineering, Kyushu Institute of Technology, 1–1 Sensui-cho, Tobata-ku, Kitakyushu 804–8550, Japan
*
a) Address all correspondence to this author. e-mail: msakai@tutms.tut.ac.jp This author was an editor of this journal during the review and decision stage. For the JMR policy on review and publication of manuscripts authored by editors, please refer to http://www. mrs.org/publications/jmr/policy.html.
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Abstract

Finite-element analyses for elastoplastic cone indentations were conducted in which the effect of linear strain hardening on indentation behavior was intensively examined in relation to the influences of the frictional coefficient (μ) at the indenter/material contact interface and of the inclined face angle (β) of the cone indenter. A novel procedure of “graphical superposition” was proposed to determine the representative yield stress YR. It was confirmed that the concept of YR applied to elastic-perfectlyplastic solids is sufficient enough for describing the indentation behavior of strainhardening elastoplastic solids. The representative plastic strain of εR (plastic) ≈ 0.22 tan β, at which YR is prescribed, is applicable to the strain-hardening elastoplastic solids, affording a quantitative relationship of YR = Y + ε;R (plastic) × EP in terms of the strain-hardening modulus EP. The true hardness H as a measure for plasticity is estimated from the Meyer hardness HM and then successfully related to the yield stress Y as H = C(β,μ) × Y for elastic-perfectly-plastic solids and as H = C(β,μ) × YR for strain-hardening solids, by the use of a β- and μ-dependent constraint factor C(β,μ) ranging from 2.6 to 3.2.

Type
Articles
Information
Journal of Materials Research , Volume 18 , Issue 9 , September 2003 , pp. 2087 - 2096
Copyright
Copyright © Materials Research Society 2003

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References

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