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TECHNICAL PAPERS

The Influence of Initial Elastic Surface Stresses on Instrumented Sharp Indentation

[+] Author and Article Information
A. E. Giannakopoulos

Department of Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139

J. Appl. Mech 70(5), 638-643 (Oct 10, 2003) (6 pages) doi:10.1115/1.1485756 History: Received February 26, 2001; Revised February 19, 2002; Online October 10, 2003
Copyright © 2003 by ASME
Topics: Force , Stress
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References

Figures

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Schematic of sharp indentation with the associated nomenclature
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Decomposition of the surface initial stresses to an equal-biaxial part of magnitude σR=(σx,0Ry,0R)/2 and a shear part of magnitude τR=|σx,0R−σy,0R|/2
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The change of the loading part of the indentation P−h curve due to the presence of surface initial stresses
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The relative change of load, |ΔP|/P0, as a function of the normalized initial stress, σR/pav. Comparison at constant indentation depth.
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The relative change of penetration depth, |Δh|/h0, as a function of the normalized initial stress, σR/pav. Comparison at constant applied load.
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The change of the unloading part of the indentation P−h curve due to the presence of surface initial stresses
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Nanoindentation measurements of the apparent contact area for uniaxially stressed specimen of aluminum alloy 8009, after Tsui et al. 12. The prediction of the present analysis is shown by dark dots. The comparison of apparent areas is done at constant load. The apparent contact area is a simple scale of the maximum indentation load due to the elastic residual stresses, ignoring the hardness invariance.
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Schematic of the experimental procedure used to examine the influence of the initial elastic shear stress in the instrumented indentation loading response. The applied twist ΘR is locked in and produces an elastic shear stress τR=0.25EΘRD/(L(1+ν)) at the surface of the specimen.

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