考虑压密非线性和残余阶段的岩石损伤本构模型  

Rock Damage Constitutive Model Considering Compaction Nonlinearity and Residual Stage

作　　者：李雅婧 连瑾 冯文林 LI Yajing;LIAN Jin;FENG Wenlin(Jiaozuo College of Industry and Trade,Jiaozuo 454000,China;Harbin Institute of Technology,Shenzhen 518055,China)

机构地区：[1]焦作工贸职业学院建筑工程学院,河南焦作454000 [2]哈尔滨工业大学(深圳)土木与环境工程学院,广东深圳518055

出　　处：《河北地质大学学报》2025年第2期77-85,共9页Journal of Hebei Geo University

基　　金：国家自然科学青年基金项目(51304068)。

摘　　要：针对模型无法描述岩石单轴压缩时压密阶段和残余应力阶段的问题,对其进行改进。根据岩石压密阶段至弹性阶段切线模量的变化,建立了可以反映岩石压密阶段非线性变化特征的本构模型。由岩石在压缩过程中能量的变化,引入能量系数λ代替之前岩石损伤比例系数来描述岩石达到残余应力时的变形特性,并赋予能量系数λ具体的物理含义与计算方法,修正原来模型中损伤变量演化存在的不足。采用所建立的模型对几种岩石应力应变曲线进行拟合,得到较好效果,改进之后的模型可以适用于不同岩石。In view of the shortcomings and limitations of the defect growth model in describing the compaction nonlinearity and residual stress stages of rock under uniaxial compression,and the narrow application scope of the model,an improvement is made.According to the change of tangent modulus from compaction stage to elastic stage,a non-linear constitutive model reflecting compaction nonlinearity of rocks is established.According to the energy change of rock during compression process,energy coefficientλis introduced to replace the damage proportional coefficient of rock to describe the deformation characteristics of rock when it achieves residual stress.The specific physical meaning and calculation method of energy coefficientλare given to correct the shortcomings of damage variable evolution in the original model.The established model is used to fit the stress-strain curves of several kinds of rocks,and good results are obtained.

关 键 词：压密非线性 损伤本构模型 损伤演化 能耗系数 残余应力 

分 类 号：F062.1[经济管理—政治经济学]