An elastoplastic evaluation of the stress state around cylindrical openings based on a closed multiaxial yield surface

Abstract

SUMMARYThere are many applications encountered in geo-engineering where there is a need to evaluate the stress state around circular openings. This paper presents a new analytical solution for evaluating the stresses around a cylindrical excavation in an elastoplastic medium defined by the closed MSDP u yield surface. The proposed formulation takes into account the 3D stress geometry with a plasticity criterion that intersects the mean stress axis on the positive (compressive) and negative (tensile) sides. The results shown here illustrate how the stress distribution and yielding zone size are affected by various influence factors. Validation of the proposed formulation is made by comparing calculated results with existing analytical solutions and a numerical simulation.

A Three-Dimensional Analysis of the Total and Effective Stresses in Submerged Backfilled Stopes

“…These include the nature of the yield (failure) criterion (e.g., Li et al 2005b;Li and Aubertin 2009e), water flow, consolidation with excess pore pressure (e.g., Godbout et al 2007;Belem et al 2007), suction induced strength gain (under unsaturated conditions), strength increase with curing time (Benzaazoua et al 2004), cement hydration with self-desiccation (e.g., Helinski et al 2007), and desiccation due to drainage and evaporation (e.g., Simms et al 2007). Some of these factors are addressed in complementary investigations conducted by the authors and their collaborators.…”