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 Publications and Reviews › RGC 21 - Publication in refereed journal › 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. © 2008 Elsevier Ltd. All rights reserved.

Original language	English
Pages (from-to)	4247-4256
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

Research Keywords

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

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10.1016/j.engfracmech.2008.03.003

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@article{388d4d0147fc4c3badeab94c329b4456,

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. {\textcopyright} 2008 Elsevier Ltd. All rights reserved.",

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

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

year = "2008",

month = sep,

doi = "10.1016/j.engfracmech.2008.03.003",

language = "English",

volume = "75",

pages = "4247--4256",

journal = "Engineering Fracture Mechanics",

issn = "0013-7944",

publisher = "Elsevier B.V.",

number = "14",

}

TY - JOUR

T1 - Theoretical analysis of Hertzian contact fracture

T2 - 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. © 2008 Elsevier Ltd. All rights reserved.

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. © 2008 Elsevier Ltd. All rights reserved.

KW - Auerbach constant

KW - Cauchy singular integral equation

KW - Ring crack

KW - Somigliana ring dislocations

KW - Surface energy

UR - https://www.scopus.com/pages/publications/45449120959

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-45449120959&origin=recordpage

U2 - 10.1016/j.engfracmech.2008.03.003

DO - 10.1016/j.engfracmech.2008.03.003

M3 - RGC 21 - Publication in refereed journal

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

Research Keywords

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