摘要
岩石的变形破坏本质上是能量转换的结果。为更加合理地构建岩石的本构模型以及探讨岩石的变形破坏特性,先引入统计损伤理论,假定岩石微元强度服从Weibull分布,推导出岩石的损伤本构方程;然后从能量角度分析岩石的变形破坏特性,构建了基于三剪能量屈服准则的岩石微元强度,进而建立起基于三剪能量屈服准则的应变软化岩石的统计损伤本构模型,模型中参数的物理力学意义明确;最后以一组岩石三轴压缩试验数据为例,对所建立的本构模型的可靠性和实用性进行了验证。结果表明:利用所建立的本构模型得到的岩石应力-应变理论曲线与试验结果吻合度很好,该模型能够很好地反映岩石变形破坏过程中的典型特性,并能够模拟任意围压条件下岩石的应力-应变曲线,且模拟曲线能够反映出围压对岩石变形破坏的影响,表明该模型具有可靠性和实用性。
The essence of rock deformation and failure is the process of energy conversion.To establish a more reasonable constitutive model of rock and explore the deformation and failure characteristics of rock,this paper introduces the statistical damage theory,and derives the damage constitutive equation of rock assuming that the microelement strength of rock obeys the Weibull distribution.From the energy point of view,the paper analyzes the deformation and failure of rock,constructs the microelement strength of rock based on the triple shear energy yield criterion,and establishes the statistical damage constitutive model of rock based on the triple shear energy yield criterion,in which the parameters have clear physical-mechanical meaning.Finally,the paper verifies the proposed constitutive model using agroup of triaxial test data.The results show that the theoretical curve obtained by the model of the paper is in good agreement with the test results,and the model reflects the typical characteristics of rock deformation and failure process well.Besides,the model can simulate the stress-strain curve of rock under various confining pressures,and the simulation curve can reflect the influence of confining pressure on rock deformation and failure.
作者
鄢俊彪
邹宗兴
王飞
张琦
罗涛
YAN Junbiao;ZOU Zongxing;WANG Fei;ZHANG Qi;LUO Tao(Three Gorges Research Center for Geo-hazards,Ministry of Education,China University of Geosciences(Wuhan),Wuhan 430074,China)
出处
《安全与环境工程》
CAS
北大核心
2020年第6期68-73,87,共7页
Safety and Environmental Engineering
基金
国家重点研发计划项目(2018YFC1507200)
国家自然科学基金青年科学基金项目(41502290)。
关键词
岩石力学
本构模型
统计损伤理论
三剪能量屈服准则
岩石微元强度
应变软化
rock mechanics
constitutive model
statistical damage theory
triple shear energy yield criterion
rock microelement strength
strain softening
