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An analysis of nanoindentation in linearly elastic solids

Poon, B. and Rittel, D. and Ravichandran, G. (2008) An analysis of nanoindentation in linearly elastic solids. International Journal of Solids and Structures, 45 (24). pp. 6018-6033. ISSN 0020-7683. doi:10.1016/j.ijsolstr.2008.07.021.

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The conventional method to extract elastic properties in the nanoindentation of linearly elastic solids relies primarily on Sneddon’s solution (1948). The underlying assumptions behind Sneddon’s derivation, namely, (1) an infinitely large incompressible specimen; (2) an infinitely sharp indenter tip, are generally violated in nanoindentation. As such, correction factors are commonly introduced to achieve accurate measurements. However, little is known regarding the relationship between the correction factors and how they affect the overall accuracy. This paper first proposes a criterion for the specimen’s geometry to comply with the first assumption, and modifies Sneddon’s elastic relation to account for the finite tip radius effect. The relationship between the finite tip radius and compressibility of the specimen is then examined and a composite correction factor that involves both factors, derived. The correction factor is found to be a function of indentation depth and a critical depth is derived beyond which, the arbitrary finite tip radius effect is insignificant. Techniques to identify the radius of curvature of the indenter and to decouple the elastic constants (E and ν) for linear elastic materials are proposed. Finally, experimental results on nanoindentation of natural latex are reported and discussed in light of the proposed modified relation and techniques.

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Ravichandran, G.0000-0002-2912-0001
Additional Information:© 2008 Elsevier. Received 1 April 2008; revised 29 May 2008. Available online 6 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. GR gratefully acknowledges the Ronald and Maxine Linde Venture Fund that enabled the acquisition of the HysitronTM Triboindenter used in this investigation. DR acknowledges the support of his visit to Caltech made possible through the Clark Millikan Visiting Professorship in Aeronautics.
Funding AgencyGrant Number
NSFDMR 0520565
Ronald and Maxine Linde Venture FundUNSPECIFIED
Clark Millikan Visiting Professorship in Aeronautics, CaltechUNSPECIFIED
Subject Keywords:Indentation; Elastic solids; Elastic modulus; Mechanics; Finite elements
Issue or Number:24
Record Number:CaltechAUTHORS:POOijss08
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:12547
Deposited By: Archive Administrator
Deposited On:16 Dec 2008 16:32
Last Modified:08 Nov 2021 22:29

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