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Indentation load–displacement curve, plastic deformation, and energy

Published online by Cambridge University Press:  31 January 2011

J. Malzbender  and
G. de With
J. Malzbender*
Affiliation:
Laboratory of Solid State and Materials Chemistry, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands
G. de With
Affiliation:
Laboratory of Solid State and Materials Chemistry, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands
*
a) Address all correspondence to this author. Current address: Institute for Materials and Processes in Energy Systems, Forschungszentrum Jülich GmbH, 52425 Jülich, Germany. e-mail: J.Malzbender@fz-juelich.de
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Abstract

Various methods to access indentation data are considered on the basis of the load P–displacement h curve, its derivative, or its integral. This paper discusses and extends the various analytical models to estimate the indentation P–h curve, the slope, and the dissipated energy to aid the development of a concise methodology to analyze indentation data. Special consideration is given to the effect of pile-up and sink-in. Relationships for sharp and spherical indenters are presented and in addition for sharp indenters with a rounded tip. An overview over analytic expressions for the P–h curve is given and compared to finite element simulations and experimental data. An expression derived for the representative strain at the onset of yield under sharp and spherical indenters compares well with literature results. The effect of a rounded tip on the yielding under a sharp indenter is discussed. The ratio of loading to unloading slope and the ratio of the plastically dissipated energy to the total energy is related to hardness and elastic modulus. In combination these ratios can be used to determine the strain-hardening coefficient.

Type
Articles
Information
Journal of Materials Research , Volume 17 , Issue 2 , February 2002 , pp. 502 - 511
Copyright
Copyright © Materials Research Society 2002

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