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基于FEMLIP的全风化边坡失稳破坏全过程的数值模拟研究
引用本文:王曼灵,王爱涛,李阳,彭俊强,李树忱.基于FEMLIP的全风化边坡失稳破坏全过程的数值模拟研究[J].应用数学和力学,2019,40(3):269-281.
作者姓名:王曼灵  王爱涛  李阳  彭俊强  李树忱
作者单位:1 山东大学 岩土与结构工程研究中心, 济南 250061;2山东滨莱高速公路有限公司, 山东 淄博 255200
基金项目:国家重点研发计划(2016YFC0600803)
摘    要:边坡坡角和强度是影响边坡稳定性的重要因素,而边坡失稳往往伴随着大变形的发生,其变形从数十米至数千米不等.目前,传统有限元法在处理大变形问题时常常因网格畸变而导致计算终止.因此,为了实现边坡失稳破坏全过程的模拟,并研究边坡坡角和强度对边坡稳定性的影响,基于Lagrange(拉格朗日)积分点有限元法(FEMLIP),采用C语言编写了能够模拟边坡失稳滑塌全过程的Ellipsis程序,并通过一个典型案例对该方法的正确性和可行性进行了验证.采用该方法分析了边坡在不同坡角和强度条件下的稳定性和滑坡过程.研究结果表明,Lagrange积分点有限元法可以较准确地模拟边坡的潜在滑移面,并且可以模拟边坡失稳后的滑坡发展过程,为边坡滑坡大变形分析提供了一种新的数值计算方法.

关 键 词:全风化边坡    失稳破坏    全过程    数值模拟    Lagrange积分点有限元法
收稿时间:2018-07-24

Numerical Simulation of the Whole Instability and Destruction Process for Fully Weathered Slopes Based on the FEMLIP
Institution:1Geotechnical and Structural Engineering Research Center, Shandong University, Jinan 250061, P.R.China;2Shandong Binlai Expressway Co., Ltd., Zibo, Shandong 255200, P.R.China
Abstract:Slope angles and strengths are important factors influencing slope stability, while slope instability is often accompanied with large deformation, ranging from tens to thousands of meters. For traditional finite element methods, calculation often terminates due to grid distortion in the large deformation cases. The finite element method with Lagrangian integral points (FEMLIP) was adopted to simulate the large deformation landslide process of slopes and study the effects of slope angles and strengths on slope stability. The C language was used for the Ellipsis programming to simulate the whole process of slope instability and collapse, which was verified with a typical case. The stability and landslide processes of the slope under different slope angles and strengths were analyzed with this method. The results show that, the FEMLIP can accurately find out the potential slip surface of the slope and simulate the landslide development process after the slope instability, making a new numerical way for the large deformation analysis of the slope landslide.
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