Axisymmetric benchmark solutions in fracture mechanics

Elizaveta Gordeliy; Roberto Piccinin; John A.L. Napier; Emmanuel Detournay

doi:10.1016/j.engfracmech.2013.01.010

Axisymmetric benchmark solutions in fracture mechanics

Elizaveta Gordeliy, Roberto Piccinin, John A.L. Napier, Emmanuel Detournay

Civil, Environmental, and Geo- Engineering

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

11 Scopus citations

Abstract

The paper presents benchmark solutions for problems involving axisymmetric cracks in infinite and semi-infinite elastic domains. The solutions are obtained by means of three algorithms: an axisymmetric displacement discontinuity method, an axisymmetric finite element method, and a full three-dimensional displacement discontinuity method. The benchmark examples include computation of the crack path for the near-surface propagation of a bowl-shaped crack.

Original language	English (US)
Pages (from-to)	348-357
Number of pages	10
Journal	Engineering Fracture Mechanics
Volume	102
DOIs	https://doi.org/10.1016/j.engfracmech.2013.01.010
State	Published - Apr 2013

Bibliographical note

Funding Information:
EG and ED gratefully acknowledge support from the National Science Foundation under Grant No. 0600058 . Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation. The authors are grateful to Dr. Xi Zhang (CSIRO Earth Science and Resource Engineering, Australia) for providing a numerical implementation of the Chebychev polynomial method. The authors would also like to thank Professor Roberto Ballarini (UMN) for stimulating discussions.

Keywords

Axisymmetric crack
Computation
Crack propagation
Stress intensity factors

Publisher link

10.1016/j.engfracmech.2013.01.010

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title = "Axisymmetric benchmark solutions in fracture mechanics",

abstract = "The paper presents benchmark solutions for problems involving axisymmetric cracks in infinite and semi-infinite elastic domains. The solutions are obtained by means of three algorithms: an axisymmetric displacement discontinuity method, an axisymmetric finite element method, and a full three-dimensional displacement discontinuity method. The benchmark examples include computation of the crack path for the near-surface propagation of a bowl-shaped crack.",

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author = "Elizaveta Gordeliy and Roberto Piccinin and Napier, {John A.L.} and Emmanuel Detournay",

note = "Funding Information: EG and ED gratefully acknowledge support from the National Science Foundation under Grant No. 0600058 . Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation. The authors are grateful to Dr. Xi Zhang (CSIRO Earth Science and Resource Engineering, Australia) for providing a numerical implementation of the Chebychev polynomial method. The authors would also like to thank Professor Roberto Ballarini (UMN) for stimulating discussions. ",

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doi = "10.1016/j.engfracmech.2013.01.010",

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T1 - Axisymmetric benchmark solutions in fracture mechanics

AU - Gordeliy, Elizaveta

AU - Piccinin, Roberto

AU - Napier, John A.L.

AU - Detournay, Emmanuel

N1 - Funding Information: EG and ED gratefully acknowledge support from the National Science Foundation under Grant No. 0600058 . Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation. The authors are grateful to Dr. Xi Zhang (CSIRO Earth Science and Resource Engineering, Australia) for providing a numerical implementation of the Chebychev polynomial method. The authors would also like to thank Professor Roberto Ballarini (UMN) for stimulating discussions.

PY - 2013/4

Y1 - 2013/4

N2 - The paper presents benchmark solutions for problems involving axisymmetric cracks in infinite and semi-infinite elastic domains. The solutions are obtained by means of three algorithms: an axisymmetric displacement discontinuity method, an axisymmetric finite element method, and a full three-dimensional displacement discontinuity method. The benchmark examples include computation of the crack path for the near-surface propagation of a bowl-shaped crack.

AB - The paper presents benchmark solutions for problems involving axisymmetric cracks in infinite and semi-infinite elastic domains. The solutions are obtained by means of three algorithms: an axisymmetric displacement discontinuity method, an axisymmetric finite element method, and a full three-dimensional displacement discontinuity method. The benchmark examples include computation of the crack path for the near-surface propagation of a bowl-shaped crack.

KW - Axisymmetric crack

KW - Computation

KW - Crack propagation

KW - Stress intensity factors

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JO - Engineering Fracture Mechanics

JF - Engineering Fracture Mechanics

ER -

Axisymmetric benchmark solutions in fracture mechanics

Abstract

Bibliographical note

Keywords

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