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魏星, 程世涛, 谢相焱, 陈睿. 考虑强度速率衰减效应的地震滑坡SPH-FEM模拟[J]. 岩土工程学报. DOI: 10.11779/CJGE20230463
引用本文: 魏星, 程世涛, 谢相焱, 陈睿. 考虑强度速率衰减效应的地震滑坡SPH-FEM模拟[J]. 岩土工程学报. DOI: 10.11779/CJGE20230463
SPH-FEM Simulation of Landslide induced by Earthquake with Considering Velocity Weakening Effect of Frictional Strength[J]. Chinese Journal of Geotechnical Engineering. DOI: 10.11779/CJGE20230463
Citation: SPH-FEM Simulation of Landslide induced by Earthquake with Considering Velocity Weakening Effect of Frictional Strength[J]. Chinese Journal of Geotechnical Engineering. DOI: 10.11779/CJGE20230463

考虑强度速率衰减效应的地震滑坡SPH-FEM模拟

SPH-FEM Simulation of Landslide induced by Earthquake with Considering Velocity Weakening Effect of Frictional Strength

  • 摘要: 本文基于SPH和FEM耦合的数值计算方法,引入了滑动面摩擦强度的速率衰减模型,发展了一种能够描述滑坡由初始稳定状态、启动状态到滑移破坏状态全过程的数值模拟方法,所采用的本构模型和摩擦衰减模型数学表述简单、材料参数容易确定。研究表明:(1)地震诱发的唐家山滑坡过程的数值模拟再现了滑坡发生后滑体的位移和速度、剪切面上的摩擦强度的变化过程,模拟结果与现场勘查和室内试验现象规律较为一致,初步说明了所发展的数值方法能够较好地再现大型滑坡的启动和运动过程。(2)基于模拟的滑动面上摩擦系数的演化过程,将滑坡的发生分为4个阶段:启动阶段、摩擦衰减阶段、低摩擦滑移阶段和逐步稳定阶段。滑体运动过程中,随着滑移速度的增加,滑动带上的摩擦系数逐渐降低,速度增加和摩擦强度衰减的相互促进,触发了滑体的高速运动。(3)提出采用滑体上作用的动摩擦力fd和动下滑力Td的比值R作为判别指标用于判断大型滑坡的启动,当首次出现R小于1时认为滑动面发生整体贯通并出现失稳启动。基于滑动面不同位置摩擦系数的演化,揭示了滑坡启动中滑动面摩擦强度衰减和滑动面的渐进贯通过程,解释了地震作用与滑动面摩擦参数速率衰减效应共同作用触发大型滑坡发生破坏的内在机理。

     

    Abstract: Based on the coupling SPH and FEM method and the velocity weakening model of frictional strength of sliding surface, a numerical simulation method is developed which can reproduce the whole process of landslide from initial stable state, unstable state to sliding failure state. The constitutive model and the velocity weakening model adopted are simple in mathematical expression and the material parameters are easy to determined. From the analysis,the following results are obtained. (1) The numerical simulation of Tangjiashan landslide induced by earthquake is carried out, which reproduced the development of displacement and velocity of landslide mass, and the frictional strength on slide surface. The comparison between the simulation results and the on-site investigation or laboratory test results shows good consistency, which testified that the numerical method can reproduce the triggering and sliding process of the landslide. (2) Based on the calculated friction coefficient on the sliding surface, the landslide process is divided into four stages as follows: triggering stage, frictional weakening stage, low frictional stage and gradually stabilizing stage. In the moving process of the sliding mass, with the increase of velocity, the friction coefficient on the slide surface would decreases gradually. Therefore, high-speed movement of the sliding mass would be triggered by the interaction of the increase of velocity and the decrease of friction strength. (3) The parameter R defined by the ratio between the dynamic frictional force fd and dynamic sliding force Td is suggested as an indicator to evaluate the failure of large landslides. When R less than 1 occurs for the first time, the stress on the sliding surface reaches the shear strength and slope failure occurs. Based on the evolution of friction coefficient at different position of the sliding surface, the process of friction weakening of the slide surface and the gradual failure of the landslide is revealed. The triggering of large landslide is due to the joint action of earthquake and the velocity weakening effect of frictional strength on sliding surface.

     

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