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 |
Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2021 The Authors. International Journal for Numerical and Analytical Methods in Geomechanics published by John Wiley & Sons Ltd.