Axisymmetric benchmark solutions in fracture mechanics

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

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


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 languageEnglish (US)
Pages (from-to)348-357
Number of pages10
JournalEngineering Fracture Mechanics
StatePublished - 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.


  • Axisymmetric crack
  • Computation
  • Crack propagation
  • Stress intensity factors


Dive into the research topics of 'Axisymmetric benchmark solutions in fracture mechanics'. Together they form a unique fingerprint.

Cite this