Theoretical analysis of Hertzian contact fracture: Ring crack

Xu Yue Wang; Lawrence Kwok Yan Li; Yiu Wing Mai; Yao Gen Shen

doi:10.1016/j.engfracmech.2008.03.003

Theoretical analysis of Hertzian contact fracture: Ring crack

Xu Yue Wang, Lawrence Kwok Yan Li, Yiu Wing Mai, Yao Gen Shen

Research output: Journal article publication › Journal article › Academic research › peer-review

13 Citations (Scopus)

Abstract

The axisymmetric fracture behavior of brittle materials under an applied indentation force is investigated by considering the pile-up of Somigliana ring dislocations. For such a mixed-mode crack problem, the stress intensity factors (SIFs) and strain energy release rate are obtained by solving a system of Cauchy singular integral equations. The Auerbach range is extensively studied during the formation of a shallow ring crack. The Auerbach constant is also determined from the exact solutions, enabling the prediction of surface energy from Hertzian indentation tests. The obtained results can be used to extract the fracture parameters of brittle materials by using the indentation technique.

Original language	English
Pages (from-to)	4247-4256
Number of pages	10
Journal	Engineering Fracture Mechanics
Volume	75
Issue number	14
DOIs	https://doi.org/10.1016/j.engfracmech.2008.03.003
Publication status	Published - Sept 2008
Externally published	Yes

Keywords

Auerbach constant
Cauchy singular integral equation
Ring crack
Somigliana ring dislocations
Surface energy

ASJC Scopus subject areas

General Materials Science
Mechanics of Materials
Mechanical Engineering

More information

10.1016/j.engfracmech.2008.03.003

Cite this

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title = "Theoretical analysis of Hertzian contact fracture: Ring crack",

abstract = "The axisymmetric fracture behavior of brittle materials under an applied indentation force is investigated by considering the pile-up of Somigliana ring dislocations. For such a mixed-mode crack problem, the stress intensity factors (SIFs) and strain energy release rate are obtained by solving a system of Cauchy singular integral equations. The Auerbach range is extensively studied during the formation of a shallow ring crack. The Auerbach constant is also determined from the exact solutions, enabling the prediction of surface energy from Hertzian indentation tests. The obtained results can be used to extract the fracture parameters of brittle materials by using the indentation technique.",

keywords = "Auerbach constant, Cauchy singular integral equation, Ring crack, Somigliana ring dislocations, Surface energy",

author = "Wang, {Xu Yue} and Li, {Lawrence Kwok Yan} and Mai, {Yiu Wing} and Shen, {Yao Gen}",

year = "2008",

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language = "English",

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journal = "Engineering Fracture Mechanics",

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T1 - Theoretical analysis of Hertzian contact fracture: Ring crack

AU - Wang, Xu Yue

AU - Li, Lawrence Kwok Yan

AU - Mai, Yiu Wing

AU - Shen, Yao Gen

PY - 2008/9

Y1 - 2008/9

N2 - The axisymmetric fracture behavior of brittle materials under an applied indentation force is investigated by considering the pile-up of Somigliana ring dislocations. For such a mixed-mode crack problem, the stress intensity factors (SIFs) and strain energy release rate are obtained by solving a system of Cauchy singular integral equations. The Auerbach range is extensively studied during the formation of a shallow ring crack. The Auerbach constant is also determined from the exact solutions, enabling the prediction of surface energy from Hertzian indentation tests. The obtained results can be used to extract the fracture parameters of brittle materials by using the indentation technique.

AB - The axisymmetric fracture behavior of brittle materials under an applied indentation force is investigated by considering the pile-up of Somigliana ring dislocations. For such a mixed-mode crack problem, the stress intensity factors (SIFs) and strain energy release rate are obtained by solving a system of Cauchy singular integral equations. The Auerbach range is extensively studied during the formation of a shallow ring crack. The Auerbach constant is also determined from the exact solutions, enabling the prediction of surface energy from Hertzian indentation tests. The obtained results can be used to extract the fracture parameters of brittle materials by using the indentation technique.

KW - Auerbach constant

KW - Cauchy singular integral equation

KW - Ring crack

KW - Somigliana ring dislocations

KW - Surface energy

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U2 - 10.1016/j.engfracmech.2008.03.003

DO - 10.1016/j.engfracmech.2008.03.003

M3 - Journal article

AN - SCOPUS:45449120959

SN - 0013-7944

VL - 75

SP - 4247

EP - 4256

JO - Engineering Fracture Mechanics

JF - Engineering Fracture Mechanics

IS - 14

ER -

Theoretical analysis of Hertzian contact fracture: Ring crack

Abstract

Keywords

ASJC Scopus subject areas

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