岩石非线性黏弹塑性损伤蠕变模型研究及其参数识别  

Study on nonlinear viscoelasto-plastic damage creep model of rock and its parameter identification

作　　者：张怡斌 张亦海 马海涛[1,2] 于正兴 ZHANG Yibin;ZHANG Yihai;MA Haitao;YU Zhengxing(China Academy of Safety Science and Technology,Beijing 100012,China;Cathay Safety Technology Co.,Ltd.,Beijing 100012,China)

机构地区：[1]中国安全生产科学研究院,北京100012 [2]中安国泰(北京)科技发展有限公司,北京100012

出　　处：《中国安全生产科学技术》2023年第6期13-19,共7页Journal of Safety Science and Technology

基　　金：国家重点研发计划项目(2021YFC3090403);中国安全生产科学研究院基本科研业务费专项资金项目(2022JBKY14)。

摘　　要：为更加准确地描述岩石初始蠕变阶段的非线性特征,采用非线性黏性元件替代汤姆逊体(Poyting-Thomson)中的线性黏性元件,建立非定常参数的汤姆逊体。将改进后的汤姆逊体与黏性元件及考虑损伤变量的黏塑性体串联,建立1种新的岩石非线性黏弹塑性流变模型,并推导出该模型的一维及三维蠕变本构方程。研究结果表明:该模型能充分反映岩石蠕变阶段的损伤破裂过程。结合Levenberg-Marquardt算法对蠕变曲线进行分析和模型参数识别,新的岩石非线性黏弹塑性流变模型与蠕变试验数据拟合结果相关系数在0.96以上,表明该模型能够准确地描述岩石在低应力下减速蠕变阶段、等速蠕变阶段,能够更准确描述岩石在高应力下的加速蠕变特征。研究结果可为岩体工程的长期稳定性研究提供理论依据。In order to describe the nonlinear characteristics of the initial creep stage of rock more accurately,the nonlinear viscous element was used to replace the linear viscous element in the Poyting-Thomson body,and the Thomson body with unsteady parameters was established.A new nonlinear viscoelasto-plastic rheological model of rock was established by connecting the improved Thomson body with the viscous element and the viscoplastic body considering the damage variable,and the one-dimensional and three-dimensional creep constitutive equations of the model were derived.The results showed that the model can fully reflect the damage and fracture process of rock in creep stage.Combined with Levenberg-Marquardt algorithm to analyze the creep curve and identify the model parameters,the correlation coefficient between the new nonlinear viscoelasto-plastic rheological model of rock and the fitting results of creep test data is above 0.96,indicating that the model can accurately describe the deceleration creep stage and the constant creep stage of rock under low stress,moreover,it can accurately describe the accelerated creep characteristics of rock under high stress.The research results can provide theoretical basis for the long-term stability research of rock mass engineering.

关 键 词：岩石蠕变 饱依丁-汤姆逊体 非线性黏弹塑性体 参数识别 

分 类 号：X936[环境科学与工程—安全科学] TU45[建筑科学—岩土工程]