非定常Poyting-Thomson蠕变损伤模型研究  

Study of the non-stationary Poyting-Thomson creep damage model

作　　者：陈恒 赵新波[1] 张树翠 孙可明 CHEN Heng;ZHAO Xinbo;ZHANG Shucui;SUN Keming(School of Science,Qingdao University of Technology,Qingdao 266525,China;Underground Unconventional Energy Development Laboratory,Qingdao University of Technology,Qingdao 266525,China)

机构地区：[1]青岛理工大学理学院,青岛266525 [2]青岛理工大学地下非常规能源开发实验室,青岛266525

出　　处：《青岛理工大学学报》2023年第4期1-9,27,共10页Journal of Qingdao University of Technology

基　　金：青年科学基金资助项目(52104004);山东省自然科学基金面上项目(ZR2021ME099)。

摘　　要：地下工程的长期安全性评价与岩石蠕变性质密不可分,建立准确适用的蠕变模型是岩石领域研究的热点问题。通过引入非线性函数对Poyting-Thomson模型中的黏性系数进行改造,得到非定常Poyting-Thomson模型;基于损伤理论构造一个考虑损伤变量的黏塑性体,与改进后的Poyting-Thomson模型串联,得到可以反映加速蠕变的非定常Poyting-Thomson蠕变损伤模型;结合已公开发表的试验数据和自主进行的盐岩蠕变试验进行了模型验证,并分析了模型参数对蠕变曲线的影响。结果表明:非定常Poyting-Thomson蠕变损伤模型可以有效模拟岩石蠕变全过程,相较于传统的Poyting-Thomson模型,模型精度提高7%;不同的参数对岩石蠕变阶段的影响不同,参数a越大,衰减蠕变速率和等速蠕变速率比值增大,衰减阶段总变形量增加;材料参数λ越大,加速阶段蠕变速率和加速阶段总变形量越大。模型形式简单明了且参数较少,一定程度上便于工程应用。The long-term safety evaluation of underground engineering is inseparable from the creep properties of rocks,and the establishment of accurate and applicable creep models is a hot issue in the field of rock research.By introducing nonlinear functions to modify the viscosity coefficients in the Poyting-Thomson model,the unsteady Poyting-Thomson model is obtained,and a viscoplastic body considering the damage variable is constructed based on the damage theory,which is connected with the improved Poyting-Thomson model to obtain the non-stationary Poyting-Thomson creep damage model that can reflect the accelerated creep,and the model is verified by combining the published test data and independent salt rock creep test.The influence of model parameters on creep curve is analyzed.The results show that the non-stationary Poyting-Thomson creep damage model can effectively simulate the whole process of rock creep,and compared with the traditional Poyting-Thomson model,the model accuracy is improved by 7%;the influence of different parameters on the rock creep stage is different,and when the parameter a becomes larger,the ratio of the attenuation creep rate and the constant velocity creep rate increases,and the total deformation amount of the attenuation stage increases as well;when the material parameter λ becomes larger,the total deformation amount and the creep rate of the acceleration stage become greater.The model form is simple and clear and the parameters are few,which is convenient for engineering application in a certain extent.

关 键 词：岩石力学 Poyting-Thomson模型 非线性 蠕变方程 

分 类 号：TU452[建筑科学—岩土工程]