基于FLAC^3D模拟的岩石单轴压缩试验应力应变统计规律  

Statistical Laws for Stress and Strain Under Uniaxial Compression Test Based on FLAC^3D

作　　者：尚振华 郭磊[2] 朱青凌[1] Shang Zhenhua;Guo Lei;Zhu Qingling(Changsha Institute of Mining Research Co.,Ltd.,Changsha 410012,China;South China Sea Institute of Oceanology,Chinese Academy of Sciences,Guangzhou 510301,China)

机构地区：[1]长沙矿山研究院有限责任公司,湖南长沙410012 [2]中国科学院南海海洋研究所,广东广州510301

出　　处：《湖南科技大学学报（自然科学版）》2020年第2期18-26,共9页Journal of Hunan University of Science And Technology：Natural Science Edition

基　　金：国家重点基础研究发展计划资助项目(2013CB956104);国家自然科学基金资助项目(41376063)。

摘　　要：在三维数值模拟的基础上,利用FLAC3D模拟了岩石单轴压缩试验过程.根据全应力应变曲线的4个破坏阶段(弹性阶段、微破裂稳定发展阶段、非稳定破裂发展阶段和破裂后阶段),采用内嵌的FISH语言编程提取出模型中相应破坏阶段的全部应力应变数据,并利用统计分析软件@Risk对大量的应力和应变数据进行统计分析,以研究岩石变形各阶段中试样整体的应力和应变概率分布规律.本文不仅验证了大量岩石微单元的受力服从Weibull分布的规律,还得出了径向和轴向应变分别服从Logistic分布和BetaGeneral分布的结论.Based on the three-dimensional numerical simulation,a rock uniaxial compression test was simulated by FLAC3D.The embedded FISH language was used to extract the stress and strain data in the every failure stage of the full stress-strain curve(Elastic stage,Micro-fracture Stable Development stage,Fracture Unstable Development stage,and Post-failure stage).Then the statistical analysis software@Risk was used to statistic and analyze a large number of data about stress and strain,in order to study the probability distribution law of stress and strain for the whole sample in each stage.The results not only validates the hypothesis that the stress of a large number of plastic failure zones follow Weibull distribution,but also concludes that the axial and radial strains follow BetaGeneral and Logistic distribution,respectively.

关 键 词：单轴压缩 数值模拟 应力应变 分布拟合 WEIBULL分布 

分 类 号：TD353[矿业工程—矿井建设]