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An analysis of nanoindentation in elasto-plastic solids

Poon, B. and Rittel, D. and Ravichandran, G. (2008) An analysis of nanoindentation in elasto-plastic solids. International Journal of Solids and Structures, 45 (25-26). pp. 6399-6415. ISSN 0020-7683.

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This paper examines the accuracy of the extracted elastic properties using the nanoindentation technique on elasto-plastic materials. The application of the correction factor evaluated in the linearly elastic case [Poon, B., Rittel, D., Ravichandran, G., 2008. An analysis of nanoindentation in linearly elastic solids. Int. J. Solids Structures 45 (24), 6018–6033.] on elastic–plastic materials is critically examined. It is then established that the accurate determination of the projected area of contact is found to be crucial for the accurate determination of elastic material properties. The conventional methods for the accurate determination of contact area are generally limited to ratios of Young’s modulus over yield stress, E/σy < 30 for elastic-perfectly plastic materials, which is too stringent for most materials. Thus, a new electrical resistance method is proposed to measure directly the projected contact area. Using numerical simulations, it was found that with the accurate determination of A, the error associated with the extracted elastic material properties is reduced by more than 50% in some cases. Using the newly proposed procedure, the error is also found to be independent of E/σy and the tip radius, ρ, and it is only a function of Poisson’s ratio, ν. This suggests that the errors might be due to the residual stresses at the plastic imprint that were found to depend on ν as well.

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Ravichandran, G.0000-0002-2912-0001
Additional Information:© 2008 Elsevier. Received 1 April 2008; revised 28 July 2008. Available online 26 August 2008. The research reported here was supported by the National Science Foundation (DMR # 0520565) through the Center for Science and Engineering of Materials (CSEM) at the California Institute of Technology is acknowledged. G.R. gratefully acknowledges the Ronald and Maxine Linde Venture Fund that enabled the acquisition of the Hysitron™ Triboindenter used in this investigation. D.R. acknowledges the support of his visit to Caltech made possible through the Clark Millikan Visiting Professorship in Aeronautics. We would like to acknowledge A. Fischer–Cripps for useful discussions and communications and D. Vodnick for providing the data in Fig. 13.
Funding AgencyGrant Number
Ronald and Maxine Linde Venture FundUNSPECIFIED
Clark Millikan Visiting Professorship in Aeronautics, CaltechUNSPECIFIED
Subject Keywords:Indentation; Elastic-plastic solids; Elastic modulus; Mechanics; Finite elements
Issue or Number:25-26
Record Number:CaltechAUTHORS:POOijss08b
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:12857
Deposited By: Archive Administrator
Deposited On:08 Jan 2009 19:26
Last Modified:09 Jul 2020 22:52

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