基于统计损伤原理的岩石三轴压缩本构模型  

A Triaxial Compression Constitutive Model of Rock based on Statistical Damage Theory

作　　者：焦晋楠 靳卫刚 JIAO Jinnan;JIN Weigang(Shanxi Tiandi Wangpo Coal Industry Co.,Ltd.,China Coal Science and Technology Group,Jincheng 048021,China)

机构地区：[1]中国煤炭科工集团山西天地王坡煤业有限公司,山西晋城048021

出　　处：《煤》2025年第2期98-102,共5页Coal

摘　　要：岩石在三轴压缩条件下的变形行为主要受到裂隙扩展与演化的影响。针对岩石在不同围压条件下的应力-应变曲线行为,分析了其闭合应力σ_(cc)、起裂应力σ_(ci)、扩容应力σ_(cd)、峰值应力σ_(c)随围压变化的演化规律。考虑到岩石峰后的残余强度特征,建立了基于概率统计的损伤变量,并推导了基于统计损伤原理的岩石三轴压缩本构模型。结果表明:在围岩增加的条件下,岩石的特征应力也随之表现出增长过程。通过与试验数据进行对比分析,表明建立的本构模型可以有效描述岩石全阶段内的损伤演化规律和应力-应变曲线特征,验证了模型的合理性与可靠性。The deformation behavior of rock under triaxial compression is mainly affected by the extension and evolution of cracks.In this study,the behavior of the stress-strain curve of rock under different confining pressures was analyzed.The evolution of the closure stress,crack initiation stress,dilation stress,and peak stress with the confining pressure was studied.Considering the residual strength characteristics of rock after its peak,a damage variable based on probability statistics was established,and a constitutive model of rock under triaxial compression based on the statistical damage principle was derived.The results show that as the confining pressure increases,the characteristic stress of the rock also shows an increasing trend.By comparing the model predictions with experimental data,it was found that the established constitutive model can effectively describe the damage evolution and stress-strain curve characteristics of rock throughout its deformation process,thus verifying the rationality and reliability of the model.

关 键 词：三轴压缩 裂隙扩展 本构模型 损伤力学 概率统计 

分 类 号：TU45[建筑科学—岩土工程]