An analytic element model for highly fractured elastic media

Otto D.L. Strack; Erik A.L. Toller

doi:10.1002/nag.3300

An analytic element model for highly fractured elastic media

Otto D.L. Strack, Erik A.L. Toller

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

4 Scopus citations

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	https://doi.org/10.1002/nag.3300
State	Published - Feb 10 2022
Externally published	Yes

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.

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N1 - 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.

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An analytic element model for highly fractured elastic media

Abstract

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