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.
Bibliographical noteFunding 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
- Crack propagation
- Stress intensity factors