模拟三点弯曲试验的细胞自动机模型

英文篇名：Cellular Automata Model to Simulate Three Point Bend Test
中文刊名：地下空间与工程学报
英文刊名：Chinese Journal of Underground Space and Engineering
作者：王保群 ; 张强勇 ; 李明田
英文作者：WANG Bao-qun1 ; 2 ; ZHANG Qiang-yong1 ; LI Ming-tian2(1.The Research Center of Geotechnical Engineering ; Shandong University ; Jinan 250061 ; P.R.China ; 2.Shandong Jiaotong University ; Department of civil engineering ; Jinan 250023 ; P.R.China)
中文关键词：细胞自动机模型 ; 三点弯曲梁 ; 应力—应变曲线 ; 声发射曲线
英文关键词：cellular automata model ; three point bend test ; stress-strain curves ; acoustic emission curve
出版日期：2008-08-15
机构：山东大学岩土与结构工程研究中心;山东交通学院土木工程系;
年：2008
期：04
出版单位：地下空间与工程学报

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 basic 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-point-bend samples are studied.And the stress-strain curves corresponding to the fracture process are obtained.

引文

[1]周辉,冯夏庭,谭云亮,等.物理细胞自动机与岩石弹-脆-塑性性质的细观机制研究[J].岩土力学.2002,23(6):678-682.(ZHOU Hui,FENG Xiating,TAN Yunliang,et al.Research on physical cellular au-tomata and microscopical mechanism of elasticity-brit-tleness-plasticity of rock[J].Rock and Soil Mechan-ics,2002,23(6):678-682.(in Chinese))
    [2]M.T.Li,X.T.Feng,H.Zhou,2D Vector Cel-lular Automata Model for Simulating Fracture of Rockunder Tensile Condition[J].Key Engineering Material,2004,261-263,705-710.
    [3]朱守彪,蔡永恩,刘杰,等.利用三维细胞自动机模拟地震活动性[J].北京大学学报(自然科学版).42(2):206-210.(ZHU Shoubiao,CAI Yongen,etal.Modeling Seismicity by 3-D Cellular Automata[J].Acta Scientiarum Naturalium Universitatis Pekin-ensis,42(2):206-210.(in Chinese))
    [4]周尚志,刘明群,梁斌,等.物理细胞自动机在模拟混凝土破坏过程的应用[J].武汉大学学报,39(5):35-45.(ZHOU Shangzhi,LIU Mingqun,LI-ANG Bing,et al.Engineering Journal of Wuhan Uni-versity,39(5):35-45.(in Chinese))