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基于Mohr-Coulomb破坏准则,采用有限元方法模拟压头作用下岩石的破碎过程。基于分形理论,采用计盒维数方法计算岩石破碎分形维数。研究表明,压头作用下岩石的破碎具有分形特性。其破碎过程可以分为明显的3个阶段,在3个阶段分形维数的变化趋势有所不同,分形维数可以有效地表征压头作用下岩石的破碎过程。当顶部压头位移达到某个临界值,岩石完全破碎,形成破碎漏斗。此时,分形维数亦达到一个不再变化的临界值,该临界值可以定量表征岩石的破碎程度。
Based on the Mohr-Coulomb failure criterion, finite element method was used to simulate rock crushing process under indenter. Based on the fractal theory, fractal dimension of rock crushing was calculated by box counting method. The research shows that the crushing of rock under fracturing has fractal characteristics. The fragmentation process can be divided into three distinct stages. The trend of fractal dimension changes in three stages is different. Fractal dimension can effectively characterize the crushing process of rock under pressure. When the top pressure head displacement reaches a certain critical value, the rock is completely broken, forming a broken funnel. At this point, the fractal dimension also reached a no longer changing critical value, which can quantitatively characterize the degree of rock fragmentation.