岩石统计损伤本构模型及对比分析  

Statistical damage constitutive models of rock and their comparative analysis

作　　者：游强[1] 游猛[2] 

机构地区：[1]宜宾学院经济与管理学院,四川宜宾644000 [2]南华大学建筑工程与资源环境学院,湖南衡阳421001

出　　处：《兰州理工大学学报》2011年第3期119-123,共5页Journal of Lanzhou University of Technology

摘　　要：损伤力学是研究岩石破坏过程中本构关系的一种有效手段.假定岩石微元强度分布服从Weibull分布和幂函数分布的概率分布理论,将Drucker-Prager准则作为岩石统计分布变量,同时引入一个能够反映岩石微元破坏部分承载力的修正系数,建立基于不同概率分布的岩石损伤统计本构模型,并用极值法求解模型参数.最后通过理论结果和试验结果的对比分析发现:Weibull分布比较适合于作为岩石微元强度的概率分布函数,而幂函数分布不适合作为岩石微元强度的概率分布函数.Damage mechanics is an effective means of studying the constitutive relationship in the process of rock failure.By presuming that the distribution of rock elementary strength submits to the probability distribution theory of Weibull distribution and power function distribution,respectivelly,and taking the Drucker-Prager criterion as the statistical distribution variable of the rock,and meantime introducing a correction coefficient that can reflect the bearing capacity of the partially destructed elementary rock,the statistical constitutive models of rock damage were established according to the foregoing two different probability distributions and the model parameters were also found by means of extremum approach.Finally,it was found by comparing and analyzing the theoretical and experimental results that the Weibull distribution was comparatively suitable for the probability distribution function and the power function distribution,however,was not.

关 键 词：岩石 损伤 本构模型 DRUCKER-PRAGER准则 WEIBULL分布 幂函数分布 

分 类 号：TU452[建筑科学—岩土工程]