Wave velocity and stress/strain in rock brittle failure

This paper reports the relationship between wave velocity and stress/strain during rock brittle failure under compression. It is assumed that the rock is a strain-softening medium whose strength can be described by Weibull’s distribution. Based on renormalization group theory, it is found that the stress ratio λc (the ratio of the stress at the critical point to the peak stress) depends mainly on the homogeneity index or shape parameter m in the...