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A critical examination of the fundamental relations used in the analysis of nanoindentation data

Published online by Cambridge University Press:  31 January 2011

Jack C. Hay ,
A. Bolshakov  and
G. M. Pharr
Jack C. Hay
Affiliation:
IBM Research, T. J. Watson Research Center, P.O. Box 218, Yorktown Heights, New York 10598
A. Bolshakov
Affiliation:
Baker Hughes Inteq, P.O. Box 670968, Houston, Texas 77267-0968
G. M. Pharr*
Affiliation:
Department of Materials Science and Engineering, The University of Tennessee, 434 Dougherty Engineering Building, Knoxville, Tennessee 37996-2200 and Oak Ridge National Laboratory, Metals and Ceramics Division, P.O. Box 2008, Oak Ridge, Tennessee 37831-6116
*
a)Address all correspondence to this author at the university of Tennessee.
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Abstract

Methods for analyzing nanoindentation load-displacement data to determine hardness and elastic modulus are based on analytical solutions for the indentation of an elastic half-space by rigid axisymmetric indenters. Careful examination of Sneddon's solution for indentation by a rigid cone reveals several largely ignored features that have important implications for nanoindentation property measurement. Finite element and analytical results are presented that show corrections to Sneddon's equations are needed if accurate results are to be obtained. Without the corrections, the equations underestimate the load and contact stiffness in a manner that leads to errors in the measured hardness and modulus, with the magnitudes of the errors depending on the angle of the indenter and Poisson's ratio of the half-space. First order corrections are derived, and general implications for the interpretation of nanoindentation data are discussed.

Type
Articles
Information
Journal of Materials Research , Volume 14 , Issue 6 , June 1999 , pp. 2296 - 2305
Copyright
Copyright © Materials Research Society 1999

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