Abstract
This paper proposes Weibull distribution to describe the stress-strain relationship in the softening process of rocks under uniaxial compression. This distribution of damage of rock is given by the compliance of the specimen. Experimental results using marble specimens showed that the Weibull distribution was suitable to express its internal damage. Moreover, it was shown that the softening process generally was aproximated to the composite Weibull distribution, and this distribution was separated by Monte Carlo simulation. The first separated distribution (F1) may mean the probabilistic character of microcrack propagation and the second one (F2), the initiation respectively.