A numerical study of indentation with small spherical indenters

Jiang Qin; Shaoxing Qu; Xue Feng; Yonggang Huang; Jianliang Xiao; Keh Chih Hwang

doi:10.1016/S0894-9166(09)60086-0

A numerical study of indentation with small spherical indenters

Jiang Qin, Shaoxing Qu, Xue Feng^*, Yonggang Huang, Jianliang Xiao, Keh Chih Hwang

^*Corresponding author for this work

Civil and Environmental Engineering

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

5 Scopus citations

Abstract

The finite element method for the conventional theory of mechanism-based strain gradient plasticity is used to study the indentation size effect. For small indenters (e.g., radii on the order of 10 μm), the maximum allowable geometrically necessary dislocation (GND) density is introduced to cap the GND density such that the latter does not become unrealistically high. The numerical results agree well with the indentation hardness data of iridium. The GND density is much larger than the density of statistically stored dislocations (SSD) underneath the indenter, but this trend reverses away from the indenter. As the indentation depth (or equivalently, contact radius) increases, the GND density decreases but the SSD density increases.

Original language	English (US)
Pages (from-to)	18-26
Number of pages	9
Journal	Acta Mechanica Solida Sinica
Volume	22
Issue number	1
DOIs	https://doi.org/10.1016/S0894-9166(09)60086-0
State	Published - Feb 2009

Keywords

geometrically necessary dislocations
indentation size effect
maximum density
spherical indenters

ASJC Scopus subject areas

Computational Mechanics
Mechanics of Materials
Mechanical Engineering

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10.1016/S0894-9166(09)60086-0

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title = "A numerical study of indentation with small spherical indenters",

abstract = "The finite element method for the conventional theory of mechanism-based strain gradient plasticity is used to study the indentation size effect. For small indenters (e.g., radii on the order of 10 μm), the maximum allowable geometrically necessary dislocation (GND) density is introduced to cap the GND density such that the latter does not become unrealistically high. The numerical results agree well with the indentation hardness data of iridium. The GND density is much larger than the density of statistically stored dislocations (SSD) underneath the indenter, but this trend reverses away from the indenter. As the indentation depth (or equivalently, contact radius) increases, the GND density decreases but the SSD density increases.",

keywords = "geometrically necessary dislocations, indentation size effect, maximum density, spherical indenters",

author = "Jiang Qin and Shaoxing Qu and Xue Feng and Yonggang Huang and Jianliang Xiao and Hwang, {Keh Chih}",

note = "Funding Information: ★ Corresponding author. E-mail: fengxue@tsinghua.edu.cn, y-huang@northwestern.edu ★★ Project supported by the National Science Foundation (No. CMS-0084980) and ONR (No. N00014-01-1-0205, program officer Dr. Y.D.S. Rajapakse), and by the Foundation for the Author of National Excellent Doctoral Dissertation of China (FANEDD) (No. 2007B30).",

year = "2009",

month = feb,

doi = "10.1016/S0894-9166(09)60086-0",

language = "English (US)",

volume = "22",

pages = "18--26",

journal = "Acta Mechanica Solida Sinica",

issn = "0894-9166",

publisher = "Huazhong University of Science and Technology",

number = "1",

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T1 - A numerical study of indentation with small spherical indenters

AU - Qin, Jiang

AU - Qu, Shaoxing

AU - Feng, Xue

AU - Huang, Yonggang

AU - Xiao, Jianliang

AU - Hwang, Keh Chih

N1 - Funding Information: ★ Corresponding author. E-mail: fengxue@tsinghua.edu.cn, y-huang@northwestern.edu ★★ Project supported by the National Science Foundation (No. CMS-0084980) and ONR (No. N00014-01-1-0205, program officer Dr. Y.D.S. Rajapakse), and by the Foundation for the Author of National Excellent Doctoral Dissertation of China (FANEDD) (No. 2007B30).

PY - 2009/2

Y1 - 2009/2

N2 - The finite element method for the conventional theory of mechanism-based strain gradient plasticity is used to study the indentation size effect. For small indenters (e.g., radii on the order of 10 μm), the maximum allowable geometrically necessary dislocation (GND) density is introduced to cap the GND density such that the latter does not become unrealistically high. The numerical results agree well with the indentation hardness data of iridium. The GND density is much larger than the density of statistically stored dislocations (SSD) underneath the indenter, but this trend reverses away from the indenter. As the indentation depth (or equivalently, contact radius) increases, the GND density decreases but the SSD density increases.

AB - The finite element method for the conventional theory of mechanism-based strain gradient plasticity is used to study the indentation size effect. For small indenters (e.g., radii on the order of 10 μm), the maximum allowable geometrically necessary dislocation (GND) density is introduced to cap the GND density such that the latter does not become unrealistically high. The numerical results agree well with the indentation hardness data of iridium. The GND density is much larger than the density of statistically stored dislocations (SSD) underneath the indenter, but this trend reverses away from the indenter. As the indentation depth (or equivalently, contact radius) increases, the GND density decreases but the SSD density increases.

KW - geometrically necessary dislocations

KW - indentation size effect

KW - maximum density

KW - spherical indenters

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JO - Acta Mechanica Solida Sinica

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A numerical study of indentation with small spherical indenters

Abstract

Keywords

ASJC Scopus subject areas

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