基于SMP准则的岩石统计损伤本构模型  

Statistical damage constitutive model for rock based on SMP criterion

作　　者：冯清波 王明帅 江信东 贾逸[3] Feng Qingbo;Wang Mingshuai;Jiang Xindong;Jia Yi(Ningbo Ningda Foundation Treatment Technology Co.Ltd., Ningbo 315211, China;China Construction Southwest Survey & Design Research Institute, Chengdu 610052, China;Technical Center for Geological Hazard Prevention & Control, China Geological Survey, Chengdu 611734, China)

机构地区：[1]宁波宁大地基处理技术有限公司,浙江宁波315211 [2]中国建筑西南勘察设计研究院有限公司,成都610052 [3]中国地质调查局地质灾害防治技术中心,成都611734

出　　处：《黑龙江科技大学学报》2021年第1期38-42,67,共6页Journal of Heilongjiang University of Science And Technology

基　　金：中国地质调查局二级项目(DD20160287)。

摘　　要：为描述岩石变形破坏全过程,以某边坡英安岩为研究对象,基于SMP强度准则,假定岩石微元强度服从Weibull概率密度分布,结合统计损伤理论,构建一种新的考虑中间主应力的岩石统计损伤本构模型。利用常规三轴压缩实验,研究应力-应变曲线的极值特性,并求解Weibull分布参数。结果表明:未考虑中间主应力的统计损伤模型的平均R2为0.8936,新建模型平均R2达到0.9772,辨识能力强;新建模型对相关文献中泥岩和二长花岗岩的三轴压缩实验数据拟合效果较好,平均R2分别达到0.9894和0.9873,验证了新建模型的适用性。该研究可为岩石变形破坏全过程的模拟预测及深层次认识提供参考。This paper is directed at describing the whole process underlying rock deformation and failure.The description involves developing a new statistical damage constitutive model for rock considering intermediate principal stress by taking a slope dacite as the research object,building on the SMP strength criterion and assuming that the rock microelement strength follows Weibull probability density distribution,and combined with the statistical damage theory;investigating the extreme value characteristic behind the stress-strain curve using a conventional triaxial compression test and solving the parameters of the Weibull distribution.The results show that the statistical damage model without considering intermediate principal stress has the average R2 of 0.8936,and in contrast,the new model features the average R2 of 0.9772,demonstrating a stronger identification capability and fits better with the triaxial compression test data of mudstone and monzonite in the relevant literature,with the average R2 up to 0.9894 and 0.9873 respectively,verifying the applicability of the new model.The research could inform the simulation and prediction of the whole process of rock deformation and failure.

关 键 词：岩石 SMP准则 统计损伤 WEIBULL分布 中间主应力 

分 类 号：TU45[建筑科学—岩土工程]