岩石非线性黏弹塑性损伤蠕变模型研究  

Study on nonlinear viscoelastic-plastic damage creep model of rock

作　　者：陈有亮[1,2] 肖鹏 杜曦 王苏然[4] RAFIG A CHEN Youliang;XIAO Peng;DU Xi;WANG Suran;RAFIG A(Department of Civil Engineering,School of Environment and Architecture,University of Shanghai for Science and Technology,200093 Shanghai,China;Department of Engineering Geology and Hydrogeology,RWTH Aachen University,52064 Aachen,Germany;School of Civil and Environmental Engineering,University of New South Wales,2052 Sydney,Australia;Department of Underground Architecture and Engineering,Tongji University,200093 Shanghai,China)

机构地区：[1]上海理工大学环境与建筑学院土木工程系,上海200093 [2]亚琛工业大学工程地质与水文地质系,亚琛52064 [3]新南威尔士大学土木与环境工程学院,悉尼2052 [4]同济大学地下建筑与工程系,上海200093

出　　处：《应用力学学报》2025年第1期133-140,共8页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金资助项目(No.10872133);上海市软科学研究领域重点资助项目(No.18692106100)。

摘　　要：准确描述岩石蠕变行为的各阶段特征对岩石力学与岩体工程的研究具有重要的意义。由于经典元件组合模型不能较好地描述岩石蠕变过程中的非线性特征,基于损伤力学理论及Kachanov蠕变损伤演化规律,通过改进传统的Kelvin模型和村山体模型,建立起能够描述岩石衰减蠕变阶段和加速蠕变阶段的非线性函数。将弹性体、线性Kelvin体、非线性Kelvin体、损伤黏弹塑性体进行串联,建立能够同时描述岩石瞬时弹性应变、非线性黏弹性应变、非线性黏塑性应变和黏性应变的非线性黏弹塑性损伤蠕变模型,采用Origin软件的Levenberg-Marquardt算法对模型参数进行了辨识,最后通过用不同应力水平下的砂岩单以及三轴压缩蠕变试验,验证该模型的合理性。结果表明:试验曲线和理论曲线的吻合度较高,所建模型不仅能够准确地描述岩石的瞬时弹性应变阶段、等速蠕变阶段的蠕变曲线特征,而且能够较好地描述衰减蠕变阶段和加速蠕变阶段蠕变曲线的非线性特征,验证了该模型的合理性与准确性。It is of great significance to accurately describe the characteristics of each stage of rock creep behavior for the study of rock mechanics and rock mass engineering.Because the classical element combination model cannot describe the nonlinear characteristics of rock creep process,based on the damage mechanics theory and Kachanov creep damage evolution law,the nonlinear function which can describe the attenuation creep stage and accelerated creep stage of rock was established by improving the traditional Kelvin model and the village mountain body.The elastic body,nonlinear Kelvin body,linear Kelvin body and damaged viscoelastic plastic body were connected in series to establish a nonlinear viscoelastic plastic damage creep model which can simultaneously describe instantaneous elastic strain,nonlinear viscoelastic strain,viscous strain and nonlinear viscoplastic strain of rock.Levenberg-Marquardt algorithm of Origin software was used to identify the parameters of the model.Finally,the rationality of the model was verified by the uniaxial and triaxial compression creep tests of sandstone under different stress levels.The results show that the test curve and the theoretical curve are in good agreement,and the model built can not only accurately describe the characteristics of the creep curve in the instantaneous elastic strain stage and the constant velocity creep stage,but also better describe the attenuation creep stage.And the nonlinear characteristics of the creep curve in the accelerated creep stage verify the rationality and accuracy of the model.

关 键 词：岩石力学 损伤 非线性 加速蠕变 黏弹塑性蠕变模型 

分 类 号：TD313[矿业工程—矿井建设]