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Using the Ratio of Loading Slope and Elastic Stiffness to Predict Pile-Up and Constraint Factor During Indentation

Published online by Cambridge University Press:  10 February 2011

J. L. Hay
Affiliation:
Applied Nano Metrics, Inc. P.O. Box 26, Stormville, NY 12582, ,[email protected]
W. C. Olive
Affiliation:
Nano Instruments,Inc., 1001 Larson Drive, Oak Ridge, TN 37830, [email protected]
A. Bolshakov
Affiliation:
Baker Hughes Inteq, P.O. Box 670968, Houston, TX 77267-0968
G. M. Pharr
Affiliation:
Department of Materials Science, Rice University, 6100 Main St., Houston, TX 77005
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Abstract

In recent literature, the ratio of the residual depth of indentation to the total depth, hf/hmax, has been shown to be a useful parameter in predicting constraint factor and pile-up during indentation in bulk materials. In this work, hf/hmax is shown to have a simple one-to-one relationship to Sl/S, or the ratio of the slope of the load vs. displacement curve when loading to the elastic stiffness of the contact. Experimentally, the parameter Sl/S is attractive because unlike hf/hmax, it can be determined continuously during loading, using only data near the depth of interest. The elastic stiffness, S, is measured using a forced-oscillation technique, thus allowing Sl/S to be determined as a function of depth. Previous predictions for constraint factor and pileup are recast in terms of Sl/S.

Type
Research Article
Copyright
Copyright © Materials Research Society 1998

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