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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 被引量:15

Bifurcation and chaos analysis of coal and rock damage under uniaxial compression based on CT values
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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。 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.
出处 《岩土力学》 EI CAS CSCD 北大核心 2006年第9期1465-1470,共6页 Rock and Soil Mechanics
基金 国家自然科学基金项目(No.50374084)
关键词 CT数 分叉 混沌 LOGISTIC方程 CT value bifurcation chaos Logistic equation
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