Abstract: Pheoomenalistic analysis shows that the bifurcation and unstable diffusion of microcrack evolution in cement concrete can be compared to the chaos induced by double periodic bifurcation in a kind of nonlinear equation. Based on different kinds of physical background, this paper developed a mathematical model to discribe chaotic phenomenon of crack evolution.The results showed that chaology is aleffective method for the research of rupture induce by crack evolution incement concrete.

Key words: cement concrete, bifurcation, fractal, chaos, mierocrack, evolution, damage

摘要： 唯象分析表明，水泥混凝土微裂纹演化的分又及失稳扩展可以比拟为一类非线性方程的倍周期分叉导致混沌的现象．基于不同的物理背景，文中建立了描述这一现象的裂纹演化数学模型，证实了混沌学是研究水泥混凝土裂纹演化导致断裂的有效方法．

关键词: 水泥混凝土, 分叉, 分形, 混沌, 微裂纹, 演化, 损伤