- Title
- Undrained stability of a circular tunnel where the shear strength increases linearly with depth
- Creator
- Wilson, Daniel; Abbo, Andrew; Sloan, Scott; Lyamin, Andrei
- Relation
- Canadian Geotechnical Journal Vol. 48, Issue 9, p. 1328-1342
- Publisher Link
- http://dx.doi.org/10.1139/t11-041
- Publisher
- NRC Research Press
- Resource Type
- journal article
- Date
- 2011
- Description
- This paper investigates the undrained stability of a plane strain circular tunnel in clay, where the shear strength profile is assumed to increase linearly with depth. Stability solutions for a variety of geometries and soil conditions are found using rigid-block upper bound methods as well as finite element limit analysis (which gives both upper and lower bounds). The latter procedures employ a discrete form of the bound theorems of classical plasticity, use a bespoke conic programming scheme to solve the resulting optimization problems, and bracket the true collapse load to within 5% for all the cases considered. Results from the study are summarized in the form of stability charts as well as an approximate closed-form expression that can be used by practising engineers.
- Subject
- tunnels; stability; limit analysis; finite element method
- Identifier
- http://hdl.handle.net/1959.13/1325149
- Identifier
- uon:25195
- Identifier
- ISSN:0008-3674
- Language
- eng
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