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岩石连续损伤统计本构模型
引用本文:张毅,廖华林,李根生. 岩石连续损伤统计本构模型[J]. 中国石油大学学报(自然科学版), 2004, 28(3)
作者姓名:张毅  廖华林  李根生
作者单位:1. 石油大学石油工程学院,山东东营,257061
2. 石油大学石油天然气工程学院,北京,102249
基金项目:国家杰出青年科学基金资助项目 ( 5 0 12 5 413 ),国家自然科学基金重点资助项目 ( 5 0 2 3 40 3 0 )
摘    要:基于岩石微元强度概率分布理论 ,以Drucker Prager破坏准则为统计分布变量 ,建立了理论的岩石损伤变量演化方程和三轴条件下岩石损伤弹性统计本构模型。利用任意条件下的三轴试验数据 ,用曲线拟合法和极值法求解了所建模型的参数 ,并用试验结果对所建模型进行了验证。模型计算结果与试验结果吻合较好 ,这说明用Drucker Prager准则为统计分布变量建立的损伤模型能够较好地反映岩石内部缺陷分布和变形特征 ,表征岩石材料在弹性阶段的本构关系。

关 键 词:岩石破坏  岩石变形  Weibull分布  本构模型  三轴试验

A statistical constitutive model for rock continuous damage
ZHANG Yi,LIAO Hua-lin and LI Gen-sheng. College of Petroleum Engineering in the University of Petroleum,China,Dongying. A statistical constitutive model for rock continuous damage[J]. Journal of China University of Petroleum (Edition of Natural Sciences), 2004, 28(3)
Authors:ZHANG Yi  LIAO Hua-lin  LI Gen-sheng. College of Petroleum Engineering in the University of Petroleum  China  Dongying
Affiliation:ZHANG Yi,LIAO Hua-lin and LI Gen-sheng. College of Petroleum Engineering in the University of Petroleum,China,Dongying 257061
Abstract:Based on the probability distribution theory of rock micro-unit strength and taking the Drucker-Prager damage criterion as the distribution variable, the theoretical equations for the evolution of damage variables and the statistical constitutive model of rock damage in triaxis test were established. The arbitrary triaxis experimental data were used to calculate the parameters in the model by using curve fitting method and extreme value method. The calculated results of the model agree well with the experimental data. This constructive model can reflect effectively the deformation characteristics of rocks under loads and the constructive relation between elastic strain and stress of rock damage.
Keywords:rock damage  rock deformation  Weibull distribution  constitutive model  triaxis test
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