Time‐dependent multilaminate model of rocks—a numerical study of deformation and failure of rock masses

TLDR

The study proposes a multilaminate rock model with multiple planes of weakness and extends it to arbitrary 3D laminae distributions in quasi‑plane strain. The model applies tensile and Mohr‑Coulomb shear limits to each lamina, incorporates strain‑dependent friction, and uses a visco‑plastic algorithm with time‑dependent flow rules to compute static solutions. The model is applied to rock‑slope stability and tunnel behaviour, demonstrating its practical utility.

Abstract

Abstract A new model for rocks and rock‐like material with multiple planes of weakness is proposed. The behaviour of the assembly applies tensile and Mohr‐Coulomb shear limits on each such plane with possible strain dependence of frictional properties. The visco‐plastic algorithm which allows the incorporation of time effects is used to obtain static solutions. The model is illustrated in actual context by applications to stability of rock slopes and behaviour of tunnels. A generalization of the model to include arbitrary three‐dimensional distribution of laminae in ‘quasi‐plane strain’ is included. The effect of various flow rules adopted for plastic straining is indicated.