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基于CT数的煤岩单轴压缩破坏的分叉与混沌分析
引用本文:尹光志,黄滚,代高飞,孙国文.基于CT数的煤岩单轴压缩破坏的分叉与混沌分析[J].岩土力学,2006,27(9):1465-1470.
作者姓名:尹光志  黄滚  代高飞  孙国文
作者单位:1.重庆大学 资源及环境科学学院,重庆 400044;2.重庆大学 西南资源开发及环境灾害控制工程教育部重点实验室,重庆 400044
摘    要:利用CT机对煤岩在单向压缩应力状态下的破裂演化过程进行了实时扫描,采用现代非线性科学的分叉和混沌理论对煤岩在单向压缩状态下破坏的演化过程进行了研究,对各级应力状态下煤岩的各扫描断面的CT数进行了统计分析,并在此基础上建立了CT数变化的数学模型,其结果表明:当表征煤岩微裂纹存活比和闭合效应的特征量取一定值时,其CT数的变化可用Logistic方程来描述,具有分叉与混沌特征

关 键 词:CT数  分叉  混沌  Logistic方程  
文章编号:1000-7598-(2006)09-1465-06
收稿时间:2005-08-10
修稿时间:2005年8月10日

Bifurcation and chaos analysis of coal and rock damage under uniaxial compression based on CT values
YIN Guang-zhi,HUANG Gun,DAI Gao-fei,SUN Guo-wen.Bifurcation and chaos analysis of coal and rock damage under uniaxial compression based on CT values[J].Rock and Soil Mechanics,2006,27(9):1465-1470.
Authors:YIN Guang-zhi  HUANG Gun  DAI Gao-fei  SUN Guo-wen
Institution:1.College of Resources and Environmental Sciences, Chongqing University, Chongqing 400044, China; 2.Key Laboratory of Exploitation of Southwest Resources & Environmental Hazards Control Engineering, Ministry of Education, Chongqing University, Chongqing 400044, China
Abstract:A uniaxial compression test on coal and rock was conducted with CT scanning to monitor the damage process of coal and rock in real-time. A mathematical model has been established to analyze the experimental results on the basis of modem nonlinear theories of bifurcation and chaos. The results show that the CT values and stress can be described by Logistic equation. The process of coal and rock damage has the characteristics of bifurcation and chaos.
Keywords:CT value  bifurcation  chaos  Logistic equation
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