Journal ArticleDOI
Lower bound solutions for circular tunnels in two and three dimensions
TLDR
In this article, a complete statically admissible stress field is derived for the problem of the stability of the unsupported span of a tunnel and the solution is based on the lower bound theorem of plasticity.Abstract:
Complete statically admissible stress fields are evaluated for the problem of tunnel stability. The tunnels are supported by uniform internal pressure due to a lining or rock bolts. In both cases plane deformations are assumed. Additionally, a complete stress field is derived for the problem of the stability of the unsupported span of a tunnel. The latter problem is formulated three dimensionally. In all cases the Mohr Coulomb yield criterion is used. The solution is based on the lower bound theorem of plasticity, which states that the stability of a statical system is proved if at least one admissible stress field exists.read more
Citations
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The elasto-plastic response of underground excavations in rock masses that satisfy the Hoek-Brown failure criterion
TL;DR: In this article, the relationship between the Hoek-Brown parameters describing the strength of rock masses and the mechanical response of underground openings has been discussed and a formulation of the elasto-plastic behavior of rock in terms of the HOE criterion is presented.
Journal ArticleDOI
Upper and lower bound solutions for the face stability of shallow circular tunnels in frictional material
E. Leca,L. Dormieux +1 more
TL;DR: In most cases the ground itself is not suitable for underground urban development as well as for transportation, tunnels need to be driven in increasingly difficult soil conditions as mentioned in this paper, and in most cases, ground conditions are not suitable.
Journal ArticleDOI
Stability of dual square tunnels in cohesive-frictional soil subjected to surcharge loading
TL;DR: In this paper, the stability of a square tunnel in cohesive-frictional soils subjected to surcharge loading is studied. But the authors focus mainly on the stability and stability of the tunnel.
Journal ArticleDOI
Stability of a circular tunnel in cohesive-frictional soil subjected to surcharge loading
TL;DR: In this article, the stability of circular tunnels in cohesive-frictional soils subjected to surcharge loading has been investigated theoretically and numerically assuming plane strain conditions and both smooth and rough interface conditions are modelled.
Journal ArticleDOI
Prediction of Undrained Sinkhole Collapse
TL;DR: In this paper, the authors present the results of a study, using numerical modeling, of the undrained stability of the submerged cavities that lead to sinkhole formation, using programs developed at the University of Newcastle.
References
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Journal ArticleDOI
The stability of shallow tunnels and underground openings in cohesive material
TL;DR: In this article, the authors consider three different shapes of shallow underground opening relevant to tunnelling and derive upper and lower bound stability solutions for collapse under undrained conditions, and the risk of blowout failure caused by excessively high fluid pressures.
Journal ArticleDOI
Flow Localization in the Plane Strain Tensile Test
TL;DR: In this paper, the deformations in a plane strain tensile test are analyzed numerically, both for a solid characterized by a phenomenological corner theory of plasticity and for a nonlinear elastic solid.
Journal ArticleDOI
Stability of a shallow circular tunnel in cohesionless soil
J. H. Atkinson,David M. Potts +1 more
TL;DR: In this paper, the stability of a circular tunnel in a cohesionless soil with support conditions similar to those found during construction is investigated theoretically and experimentally, based on upper and lower bound theorems.
Journal ArticleDOI
Elastoplastische Stoffgleichungen für trockenen Sand
TL;DR: In this paper, inkrementelle Stoffgleichungen fur trockenen Sand unter Berucksichtigung der Bezugsinvarianz (J 1), der KoordinatenInvarianz(J 2), der Einheiteninvarianzer (J 3) entwickelt.
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The stability of shallow tunnels and underground openings in cohesive material
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E. Leca,L. Dormieux +1 more