A model of size effects in nano-indentation

Y. Huang; F. Zhang; K. C. Hwang; W. D. Nix; G. M. Pharr; G. Feng

doi:10.1016/j.jmps.2006.02.002

A model of size effects in nano-indentation

Y. Huang^*, F. Zhang, K. C. Hwang, W. D. Nix, G. M. Pharr, G. Feng

^*Corresponding author for this work

Civil and Environmental Engineering

Research output: Contribution to journal › Article › peer-review

324 Scopus citations

Abstract

The indentation hardness-depth relation established by Nix and Gao [1998. Indentation size effects in crystalline materials: a law for strain gradient plasticity. J. Mech. Phys. Solids 46, 411-425] agrees well with the micro-indentation but not nano-indentation hardness data. We establish an analytic model for nano-indentation hardness based on the maximum allowable density of geometrically necessary dislocations. The model gives a simple relation between indentation hardness and depth, which degenerates to Nix and Gao [1998. Indentation size effects in crystalline materials: a law for strain gradient plasticity. J. Mech. Phys. Solids 46, 411-425] for micro-indentation. The model agrees well with both micro- and nano-indentation hardness data of MgO and iridium.

Original language	English (US)
Pages (from-to)	1668-1686
Number of pages	19
Journal	Journal of the Mechanics and Physics of Solids
Volume	54
Issue number	8
DOIs	https://doi.org/10.1016/j.jmps.2006.02.002
State	Published - Aug 2006

Keywords

Indenter tip radius
Maximum allowable density of geometrically necessary dislocations
Nano-indentation hardness
Taylor dislocation model

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

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10.1016/j.jmps.2006.02.002

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title = "A model of size effects in nano-indentation",

abstract = "The indentation hardness-depth relation established by Nix and Gao [1998. Indentation size effects in crystalline materials: a law for strain gradient plasticity. J. Mech. Phys. Solids 46, 411-425] agrees well with the micro-indentation but not nano-indentation hardness data. We establish an analytic model for nano-indentation hardness based on the maximum allowable density of geometrically necessary dislocations. The model gives a simple relation between indentation hardness and depth, which degenerates to Nix and Gao [1998. Indentation size effects in crystalline materials: a law for strain gradient plasticity. J. Mech. Phys. Solids 46, 411-425] for micro-indentation. The model agrees well with both micro- and nano-indentation hardness data of MgO and iridium.",

keywords = "Indenter tip radius, Maximum allowable density of geometrically necessary dislocations, Nano-indentation hardness, Taylor dislocation model",

author = "Y. Huang and F. Zhang and Hwang, {K. C.} and Nix, {W. D.} and Pharr, {G. M.} and G. Feng",

note = "Funding Information: Y.H. acknowledges the support from NSF (Grant # CMS-0084980) and ONR (Grant # N00014-01-1-0205, program officer Dr. Y.D.S. Rajapakse). The support from NSFC is also acknowledged. Y.H and WDN acknowledge the support from an NSF-NIRT project “Mechanism Based Modeling and Simulation in Nanomechanics,” through Grant no. NSF CMS-0103257, under the direction of Dr. Ken Chong. Research at the ORNL SHaRE User Facility (GMP) was sponsored by the Division of Materials Sciences and Engineering, U.S. Department of Energy, under contract DE-AC05-00OR22725 with UT-Battelle, LLC.",

year = "2006",

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AU - Huang, Y.

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AU - Nix, W. D.

AU - Pharr, G. M.

AU - Feng, G.

N1 - Funding Information: Y.H. acknowledges the support from NSF (Grant # CMS-0084980) and ONR (Grant # N00014-01-1-0205, program officer Dr. Y.D.S. Rajapakse). The support from NSFC is also acknowledged. Y.H and WDN acknowledge the support from an NSF-NIRT project “Mechanism Based Modeling and Simulation in Nanomechanics,” through Grant no. NSF CMS-0103257, under the direction of Dr. Ken Chong. Research at the ORNL SHaRE User Facility (GMP) was sponsored by the Division of Materials Sciences and Engineering, U.S. Department of Energy, under contract DE-AC05-00OR22725 with UT-Battelle, LLC.

PY - 2006/8

Y1 - 2006/8

N2 - The indentation hardness-depth relation established by Nix and Gao [1998. Indentation size effects in crystalline materials: a law for strain gradient plasticity. J. Mech. Phys. Solids 46, 411-425] agrees well with the micro-indentation but not nano-indentation hardness data. We establish an analytic model for nano-indentation hardness based on the maximum allowable density of geometrically necessary dislocations. The model gives a simple relation between indentation hardness and depth, which degenerates to Nix and Gao [1998. Indentation size effects in crystalline materials: a law for strain gradient plasticity. J. Mech. Phys. Solids 46, 411-425] for micro-indentation. The model agrees well with both micro- and nano-indentation hardness data of MgO and iridium.

AB - The indentation hardness-depth relation established by Nix and Gao [1998. Indentation size effects in crystalline materials: a law for strain gradient plasticity. J. Mech. Phys. Solids 46, 411-425] agrees well with the micro-indentation but not nano-indentation hardness data. We establish an analytic model for nano-indentation hardness based on the maximum allowable density of geometrically necessary dislocations. The model gives a simple relation between indentation hardness and depth, which degenerates to Nix and Gao [1998. Indentation size effects in crystalline materials: a law for strain gradient plasticity. J. Mech. Phys. Solids 46, 411-425] for micro-indentation. The model agrees well with both micro- and nano-indentation hardness data of MgO and iridium.

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A model of size effects in nano-indentation

Abstract

Keywords

ASJC Scopus subject areas

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