摘要
细胞自动机是一种在随机初始条件下,通过构造简单的数学规则,来描述离散动力系统内部因局部单元之间强烈的非线性作用而导致系统整体自组织演化过程的一种数学模型。在此基础上,以力、位移作为基本状态变量,基于基本的力学规律构造了细胞自动机模型的矢量局部更新规则,建立了一种模拟岩石破坏过程的细胞自动机模型,并克服了以往规则确定随意性以及标量化的缺点。利用该模型模拟了三点弯曲梁的破坏过程,分析了预制裂纹对三点弯曲梁的破坏过程的影响,给出了与破坏过程所对应的应力-应变曲线以及声发射曲线。
Cellular automata are mathematical models that express self-organization process of the whole system owing to nonlinear interaction among local elements inside the system by constructing simple rules. In this paper a cellular automaton model is presented to simulate the rock failure. Force and displacement are taken as the basle state variables. Based on the basic mechanical laws the vector updating rules are constructed, which overcome the shortcomings of arbitrary decision of local rules and scalar variables. Based on this model the fracture process of three-point-bend samples is simulated. The influences of pre - existing cracks on the fracture process of three-peint-bend samples are studied. And the stress-strain curves corresponding to the fracture process are obtained.
出处
《地下空间与工程学报》
CSCD
2008年第4期605-608,695,共5页
Chinese Journal of Underground Space and Engineering
基金
国家自然科学基金资助项目(40772173)
山东省自然科学基金资助项目(Y2007F52)
关键词
细胞自动机模型
三点弯曲梁
应力-应变曲线
声发射曲线
cellular automata model
three point bend test
stress-strain curves
acoustic emission curve
