American Society of Civil Engineers


Implementation and Application of a New Elastoplastic Model Based on a Multiaxial Criterion to Assess the Stress State near Underground Openings


by Li Li, (Research Associate, Dept. of Civil, Geological, and Mining Engineering, École Polytechnique de Montréal, C.P. 6079, succursale Centre-ville, Montréal, PQ, Canada H3C 3A7. E-mail: li.li@polymtl.ca), Michel Aubertin, (corresponding author), (Professor, Dept. of Civil, Geological, and Mining Engineering, Industrial NSERC Polytechnique—UQAT Chair on Environment and Mine Wastes Management, École Polytechnique de Montréal, C.P. 6079, succursale Centre-ville, Montréal, PQ, Canada H3C 3A7 E-mail: michel.aubertin@polymtl.ca), and Ali Shirazi, (Postdoctoral Fellow, Dept. of Civil, Geological, and Mining Engineering, École Polytechnique de Montréal, C.P. 6079, succursale Centre-ville, Montréal, PQ, Canada H3C 3A7. E-mail: ali.shirazi@polymtl.ca)

International Journal of Geomechanics, Vol. 10, No. 1, January/February 2010, pp. 13-21, (doi:  http://dx.doi.org/10.1061/(ASCE)1532-3641(2010)10:1(13))

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Document type: Journal Paper
Abstract: The inelastic MSDPu (for Mises-Schleicher and Drucker-Prager unified) criterion has been developed over the last decade, and has been applied to simple problems for a wide range of geomaterials. This paper presents the approach taken to introduce this multiaxial criterion into a commercially available finite difference code using an elastoplastic framework. The paper begins with a brief review of the MSDPu formulation. Then, the main components of the elastoplastic model and the implementation procedure are described. The ensuing model, called MSDPu-EP (for MSDPu elastoplasticity model), is then validated against some existing and recently developed analytical solutions for the stress state around a circular opening. The newly developed model is further applied to evaluate the stress state near underground openings, using the geometry of a tunnel and of vertical backfilled stopes. A brief discussion follows.


ASCE Subject Headings:
Elastoplasticity
Numerical models
Cylinders
Tunnels
Backfills
Stress
Openings

Author Keywords:
Elastoplasticity
Numerical modeling
Stresses
Thick wall cylinders
Tunnels
Backfilled stopes