Abstract
This paper gives new analytical solutions to describe the two-dimensional elasto-plastic behavior of a rock opening under non-hydrostatic loading. The rock mass is assumed as a linear dilatant material and exhibits post-failure behavior after the peak stress. Based on the analysis of the loading history of in situ stress state, the plastic behavior and modes of plastic zone around the opening are explicated to evaluate the stability of the opening. Explicit formulation of the plastic stress field and of the plastic radii, which is applicable in every case for two-dimensional model, is obtained using a coupled Plasticity-Complex Function Method. The adequateness of the proposed method is verified by some case studies.