关键词: 演化细胞自动机, 非均匀性, 数值模拟

Abstract: The macroscopic mechanical characteristic of the rock material is integrated exhibition of the inner mechanical characteristic of this kind of material in mesoscopic view. While for the brittle rock material, the inner heterogeneity is important to its macroscopic crack form. The primary discussion on the heterogeneity of the brittle rock has been carried out with the method of evolving cellular automata. In this method, displacement, force, stress and strain are taken as basic variables of the system and the stress concentration and stress adjustment are reflected by quantitative analysis. In the macroscopic view, the brittle rock is a kind of heterogeneity material and its heterogeneity distribution is assumed as Weibull distribution. The slope parameter m is a important parameter that reflects the heterogeneity level of the heterogeneity distribution. From the numerical simulation examinations on the brittle rock material when it has different slope parameter in Weibull distribution, it can be drawn out that the heterogeneity expressed by the slope parameter in Weibull distribution is a important factor that influences the crack form of the brittle rock; and the more the slope parameter m is small, the more the composition of the rock is asymmetric, and the more the crack form is stochastic; while the more the slope parameter m is great, the more the composition of the rock is symmetrical, and the more the crack form is regular and similar to the elasticity material. It is consistent with the results of the experimentation.

Key words: evolving cellular automata, heterogeneity, numerical simulation