Abstract
We present an analytic formulation for an elastic medium under uniform stress and in plane strain, with a very large number of cracks that are allowed to intersect. The singularities at the tips of the cracks are represented exactly; the solution is written in terms of series expansions of negative powers of a complex variable defined outside the unit circle in a complex reference plane. We modeled an assembly of 10,000 cracks and show stress trajectories both for the whole model and for individual cracks, chosen at random from the assembly.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 297-314 |
| Number of pages | 18 |
| Journal | International Journal for Numerical and Analytical Methods in Geomechanics |
| Volume | 46 |
| Issue number | 2 |
| DOIs | |
| State | Published - Feb 10 2022 |
Bibliographical note
Funding Information:The corresponding author wishes to thank Auli Niemi and Ramin Moghadasi for their comments on this work. The author Erik A.L. Toller was supported by the Swedish Transport Administration [Grant Number 7017].
Publisher Copyright:
© 2021 The Authors. International Journal for Numerical and Analytical Methods in Geomechanics published by John Wiley & Sons Ltd.