An analytical expression for the stress field around an elastoplastic indentation/contact

G. Feng; S. Qu; Y. Huang; W. D. Nix

doi:10.1016/j.actamat.2006.12.030

An analytical expression for the stress field around an elastoplastic indentation/contact

G. Feng^*, S. Qu, Y. Huang, W. D. Nix

^*Corresponding author for this work

Civil and Environmental Engineering

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

86 Scopus citations

Abstract

The stress distribution outside the contact-induced plastic zone can be estimated by the superposition of a Hertzian field and the field for an embedded center of dilatation (ECD) in a half-space, while the residual stress distribution can be estimated by the ECD field alone. This model has a simple closed-form analytical expression, matching with finite element results nearly perfectly.

Original language	English (US)
Pages (from-to)	2929-2938
Number of pages	10
Journal	Acta Materialia
Volume	55
Issue number	9
DOIs	https://doi.org/10.1016/j.actamat.2006.12.030
State	Published - May 2007

Keywords

Analytical methods
Finite element method
Hardness
Nanoindentation
Plastic deformation

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Ceramics and Composites
Polymers and Plastics
Metals and Alloys

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10.1016/j.actamat.2006.12.030

Cite this

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title = "An analytical expression for the stress field around an elastoplastic indentation/contact",

abstract = "The stress distribution outside the contact-induced plastic zone can be estimated by the superposition of a Hertzian field and the field for an embedded center of dilatation (ECD) in a half-space, while the residual stress distribution can be estimated by the ECD field alone. This model has a simple closed-form analytical expression, matching with finite element results nearly perfectly.",

keywords = "Analytical methods, Finite element method, Hardness, Nanoindentation, Plastic deformation",

author = "G. Feng and S. Qu and Y. Huang and Nix, {W. D.}",

note = "Funding Information: The authors gratefully 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. Support of G. Feng through a Stanford Graduate Fellowship (SGF Inventec Fellow) is also gratefully acknowledged. Comments offered by Prof. D. Barnett and Prof. W. Cai at Stanford University are particularly appreciated.",

year = "2007",

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doi = "10.1016/j.actamat.2006.12.030",

language = "English (US)",

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T1 - An analytical expression for the stress field around an elastoplastic indentation/contact

AU - Feng, G.

AU - Qu, S.

AU - Huang, Y.

AU - Nix, W. D.

N1 - Funding Information: The authors gratefully 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. Support of G. Feng through a Stanford Graduate Fellowship (SGF Inventec Fellow) is also gratefully acknowledged. Comments offered by Prof. D. Barnett and Prof. W. Cai at Stanford University are particularly appreciated.

PY - 2007/5

Y1 - 2007/5

N2 - The stress distribution outside the contact-induced plastic zone can be estimated by the superposition of a Hertzian field and the field for an embedded center of dilatation (ECD) in a half-space, while the residual stress distribution can be estimated by the ECD field alone. This model has a simple closed-form analytical expression, matching with finite element results nearly perfectly.

AB - The stress distribution outside the contact-induced plastic zone can be estimated by the superposition of a Hertzian field and the field for an embedded center of dilatation (ECD) in a half-space, while the residual stress distribution can be estimated by the ECD field alone. This model has a simple closed-form analytical expression, matching with finite element results nearly perfectly.

KW - Analytical methods

KW - Finite element method

KW - Hardness

KW - Nanoindentation

KW - Plastic deformation

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DO - 10.1016/j.actamat.2006.12.030

M3 - Article

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SN - 1359-6454

VL - 55

SP - 2929

EP - 2938

JO - Acta Materialia

JF - Acta Materialia

IS - 9

ER -

An analytical expression for the stress field around an elastoplastic indentation/contact

Abstract

Keywords

ASJC Scopus subject areas

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