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Viscoelastoplastic Displacement Solution for Deep Buried Circular Tunnel Based on a Fractional Derivative Creep Model
Advances in Civil Engineering ( IF 1.8 ) Pub Date : 2021-09-16 , DOI: 10.1155/2021/3664578 Yi-Hang Gao 1, 2 , Zhou Zhou 1, 2 , Hang Zhang 1, 2 , Shuang Jin 3 , Wen Yang 3 , Qing-Hua Meng 4
Advances in Civil Engineering ( IF 1.8 ) Pub Date : 2021-09-16 , DOI: 10.1155/2021/3664578 Yi-Hang Gao 1, 2 , Zhou Zhou 1, 2 , Hang Zhang 1, 2 , Shuang Jin 3 , Wen Yang 3 , Qing-Hua Meng 4
Affiliation
Time-dependent deformation of surrounding rock is a common phenomenon for tunnels situated in soft rock stratum or hard rock stratum with high geo-stress. To describe this phenomenon, a creep model combining the Abel dashpot and a non-Newton viscous element was adopted, and the analytical solution about the viscoelastoplastic deformation for circular tunnel was obtained based on this creep model. Then, the auxiliary tunnel of Jinping II hydropower station was taken as an example to reveal the influence of creep parameters on the creep deformation. The research shows that (1) the creep model can well describe the whole creep stage of rocks, that is, the decay, constant, and accelerated creep stages, (2) the creep deformation has a positive relation with the value of fractional order of Abel dashpot and the order of the non-Newton viscous element, and (3) the creep curves between test results and analytical solutions are well consistent with each other, which demonstrate the validity of the analytical solution.
中文翻译:
基于分数阶导数蠕变模型的深埋圆形隧道粘弹塑性位移解
围岩时效变形是地应力较高的软岩或硬岩地层隧道的普遍现象。为了描述这种现象,采用阿贝尔阻尼器和非牛顿粘性单元相结合的蠕变模型,并基于该蠕变模型得到了圆形隧道粘弹塑性变形的解析解。然后,以锦屏二级水电站辅洞为例,揭示蠕变参数对蠕变变形的影响。研究表明:(1)蠕变模型可以很好地描述岩石的整个蠕变阶段,即衰减、恒定和加速蠕变阶段;(2)蠕变变形与分数阶的值呈正相关。 Abel 阻尼器和非牛顿粘性元素的阶数,
更新日期:2021-09-16
中文翻译:
基于分数阶导数蠕变模型的深埋圆形隧道粘弹塑性位移解
围岩时效变形是地应力较高的软岩或硬岩地层隧道的普遍现象。为了描述这种现象,采用阿贝尔阻尼器和非牛顿粘性单元相结合的蠕变模型,并基于该蠕变模型得到了圆形隧道粘弹塑性变形的解析解。然后,以锦屏二级水电站辅洞为例,揭示蠕变参数对蠕变变形的影响。研究表明:(1)蠕变模型可以很好地描述岩石的整个蠕变阶段,即衰减、恒定和加速蠕变阶段;(2)蠕变变形与分数阶的值呈正相关。 Abel 阻尼器和非牛顿粘性元素的阶数,