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Small correction required when applying the Hertzian contact model to instrumented indentation data

Published online by Cambridge University Press:  31 January 2011

J. L. Hay  and
P. J. Wolff
J. L. Hay*
Affiliation:
MTS Systems Corporation, Nano Instruments Innovation Center, 1001 Larson Drive, Oak Ridge, Tennessee 37830
P. J. Wolff
Affiliation:
MTS Systems Corporation, Nano Instruments Innovation Center, 1001 Larson Drive, Oak Ridge, Tennessee 37830
*
a)Address all correspondence to this author.
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Abstract

Instrumented indentation testing (IIT) is a relatively new form of mechanical testing which significantly expands on the capabilities of traditional hardness testing. In an IIT experiment, an indenter of known mechanical properties is pressed into contact and then withdrawn from a test material. The fundamental measurements during an IIT experiment are the applied load and the resulting penetration of the indenter into the test surface. The Hertzian contact model, or a derivative thereof, is often employed to relate these measurements to interesting mechanical properties of the test material. This article argues for a small correction to the Hertzian contact model when applied to instrumented indentation data. The magnitude of the correction primarily depends on Poisson's ratio of the test material and the contact radius normalized by the radius of the indenter tip. Neglecting this correction can cause significant errors in the calculation of elastic modulus and hardness from instrumented indentation data.

Type
Articles
Information
Journal of Materials Research , Volume 16 , Issue 5 , May 2001 , pp. 1280 - 1286
Copyright
Copyright © Materials Research Society 2001

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