Study of failure and scale effects in rocks under uniaxial compression using 3D cellular automata

Abstract

A numerical model for simulating the rock fracturing process has been developed and implemented in the three-dimensional code EPCA 3D, which is based on the earlier EPCA 2D (elasto-plastic cellular automaton). EPCA 3D has the ability to simulate the initiation, propagation and coalescence of cracks in the failure processes of rocks. Using this code, we studied the failure processes of simulated rock specimens with different sizes and shapes in three-dimensional space. It is concluded that the ‘scale effect’ is not directly related to the heterogeneity, if the rock specimens have the same homogeneity. If the platen-rock elastic mismatch effect in physical testing is not considered in the numerical simulations, there is almost no scale effect for rock specimens with different sizes and shapes. However, by considering the platen-rock interaction in the simulation of the rock failure process with the EPCA 3D code, the modeling results reproduced the well-known phenomenon of scale effects found in physical experiments.