土质边坡渐进破坏过程的近似模拟
|
摘要
用有限元强度折减法对边坡进行计算,分析滑动面上典型位置单元应力状态变化规律,建立单元应力状态和边坡整体稳定性之间关系,提出单元失稳判据.将判据的有限元语句程序化,对天然边坡进行有限元强度折减计算,应用所提判据和程序对边坡渐进破坏过程进行有限元数值模拟,采用不同失稳判据和极限平衡法计算结果进行比较,验证了本文单元判据的合理性,本文判据能解释和模拟边坡的渐进破坏过程.将本文方法与位移突变判据结合使用,既能描述边坡渐进破坏,又便于工程中对边坡、基坑工程的安全性进行实时监测与反馈.
Finite element strength reduction method is applied in progressive failure simulation.Stress states of typical elements on the potential sliding surface are analyzed.The relationship between the stress state of the element and the stability of the slope is established.Furthermore,the criterion of element instability based on Mohr-Coulomb theory is proposed.The criterion is programmed and applied to simulate the progressive failure process of natural soil slope.Traditional limit equilibrium methods are applied to conduct stability evaluation.Various criteria,including iteration non-convergence,plastic zone penetration,displacement mutation,and the criteria proposed in this paper are compared.Results prove that the different criteria are unified.Numerical analysis program is coded with the proposed criterion using Fortran 95 language.Strength reduction calculation is conducted on the soil slope.The proposed criterion can explain and simulate the progressive failure process of the slope.Combining the method with the displacement mutation criterion not only enables description of the progressive failure of the slope but also helps in monitoring the safety of the slope during construction.
Finite element strength reduction method is applied in progressive failure simulation.Stress states of typical elements on the potential sliding surface are analyzed.The relationship between the stress state of the element and the stability of the slope is established.Furthermore,the criterion of element instability based on Mohr-Coulomb theory is proposed.The criterion is programmed and applied to simulate the progressive failure process of natural soil slope.Traditional limit equilibrium methods are applied to conduct stability evaluation.Various criteria,including iteration non-convergence,plastic zone penetration,displacement mutation,and the criteria proposed in this paper are compared.Results prove that the different criteria are unified.Numerical analysis program is coded with the proposed criterion using Fortran 95 language.Strength reduction calculation is conducted on the soil slope.The proposed criterion can explain and simulate the progressive failure process of the slope.Combining the method with the displacement mutation criterion not only enables description of the progressive failure of the slope but also helps in monitoring the safety of the slope during construction.
引文
[1]谢永利.黄土公路路堑边坡稳定性状离心模型试验[J].中国公路学报,2009,22(5):1-7.Xie Yongli.Centrifugal model test for stability characteristics of highway cut slope in loess[J].China Journal of Highway and Transport,2009,22(5):1-7(in Chinese).
[2]Terzaghi K.Soil Mechanics in Engineering Practice[M].New York:Wiley,1996.
[3]Morgenstern N R,Tchalenko J S.Microscopic strictures in kaolin subjected to direct shear[J].Geotechnique,1967,17(1):309-328.
[4]Palmer A C,Rice J R.The growth of slip surfaces in the progressive failure of overconsolidated clay[J].Proceedings of the Royal Society of London.Series A,Mathematical and Physical Sciences,1973,332(1591):527-548.
[5]沈华章.应变软化边坡渐进破坏及其稳定性初步研究[J].岩土力学,2016,37(1):175-183.Shen Huazhang.A preliminary study of the progressive failure and stability of slope with strain-softening behaviour[J].Rock and Soil Mechanics,2016,37(1):175-183(in Chinese).
[6]吴建良.基于颗粒流数值模型的土质边坡渐进破坏过程仿真分析[J].土工基础,2015,29(2):79-83.Wu Jianliang.Numerical analysis using particle flow code on the progressive failure process of soil slopes[J].Soil Eng and Foundation,2015,29(2):79-83(in Chinese).
[7]殷德胜,汪卫明,陈胜宏.岩质边坡开挖过程模拟的动态有限单元法[J].岩石力学与工程学报,2011,30(11):2217-2224.Yin Desheng,Wang Weiming,Chen Shenghong.Dynamic finite element method for excavation process simulation of rock slope[J].Chinese Journal of Rock Mechanics and Engineering,2011,30(11):2217-2224(in Chinese).
[8]周容方,雷学文,孟庆山,等.基于ABAQUS的土质边坡渐进性破坏数值模拟[J].土工基础,2012,26(4):56-59.Zhou Rongfang,Lei Xuewen,Meng Qingshan,et al.Numerical simulation for the progressive failure in soil slope using ABAQUS[J].Soil Eng and Foundation,2012,26(4):56-59(in Chinese).
[9]段钊,唐皓,党琪,等.边坡开挖诱发滑坡离散元模拟[J].长安大学学报:自然科学版,2014,34(5):49-55.Duan Zhao,Tang Hao,Tang Qi,et al.Discrete element simulation of landslide induced by slope excavation[J].Journal of Chang'an University:Natural Science Edition,2014,34(5):49-55(in Chinese).
[10]薛海斌,党发宁,尹小涛,等.边坡强度参数非等比例相关联折减法研究[J].岩石力学与工程学报,2015,34(增2):4005-4012.Xue Haibin,Dang Faning,Yin Xiaotao,et al.Research on method of slope strength parameters nonproportional associated reduction[J].Chinese Journal of Rock Mechanics and Engineering,2015,34(Suppl2):4005-4012(in Chinese).
[11]Lade P V,Wang Q.Analysis of shear banding in true triaxial test on sand[J].Journal of Engineering Mechanics,2001,127(8):762-766.
[12]Wanatowski,D,Chu J.Stress-strain behavior of a granular fill measured by a new plane strain apparatus[J].Geotechnical Testing Journal,2006,29(2):1-9.
[13]Rechenmacher A L.Grain-scale processes governing shear band initiation and evolution in sands[J].Journal of the Mechanics and Physics of Solids,2006,54(1):22-45.
[2]Terzaghi K.Soil Mechanics in Engineering Practice[M].New York:Wiley,1996.
[3]Morgenstern N R,Tchalenko J S.Microscopic strictures in kaolin subjected to direct shear[J].Geotechnique,1967,17(1):309-328.
[4]Palmer A C,Rice J R.The growth of slip surfaces in the progressive failure of overconsolidated clay[J].Proceedings of the Royal Society of London.Series A,Mathematical and Physical Sciences,1973,332(1591):527-548.
[5]沈华章.应变软化边坡渐进破坏及其稳定性初步研究[J].岩土力学,2016,37(1):175-183.Shen Huazhang.A preliminary study of the progressive failure and stability of slope with strain-softening behaviour[J].Rock and Soil Mechanics,2016,37(1):175-183(in Chinese).
[6]吴建良.基于颗粒流数值模型的土质边坡渐进破坏过程仿真分析[J].土工基础,2015,29(2):79-83.Wu Jianliang.Numerical analysis using particle flow code on the progressive failure process of soil slopes[J].Soil Eng and Foundation,2015,29(2):79-83(in Chinese).
[7]殷德胜,汪卫明,陈胜宏.岩质边坡开挖过程模拟的动态有限单元法[J].岩石力学与工程学报,2011,30(11):2217-2224.Yin Desheng,Wang Weiming,Chen Shenghong.Dynamic finite element method for excavation process simulation of rock slope[J].Chinese Journal of Rock Mechanics and Engineering,2011,30(11):2217-2224(in Chinese).
[8]周容方,雷学文,孟庆山,等.基于ABAQUS的土质边坡渐进性破坏数值模拟[J].土工基础,2012,26(4):56-59.Zhou Rongfang,Lei Xuewen,Meng Qingshan,et al.Numerical simulation for the progressive failure in soil slope using ABAQUS[J].Soil Eng and Foundation,2012,26(4):56-59(in Chinese).
[9]段钊,唐皓,党琪,等.边坡开挖诱发滑坡离散元模拟[J].长安大学学报:自然科学版,2014,34(5):49-55.Duan Zhao,Tang Hao,Tang Qi,et al.Discrete element simulation of landslide induced by slope excavation[J].Journal of Chang'an University:Natural Science Edition,2014,34(5):49-55(in Chinese).
[10]薛海斌,党发宁,尹小涛,等.边坡强度参数非等比例相关联折减法研究[J].岩石力学与工程学报,2015,34(增2):4005-4012.Xue Haibin,Dang Faning,Yin Xiaotao,et al.Research on method of slope strength parameters nonproportional associated reduction[J].Chinese Journal of Rock Mechanics and Engineering,2015,34(Suppl2):4005-4012(in Chinese).
[11]Lade P V,Wang Q.Analysis of shear banding in true triaxial test on sand[J].Journal of Engineering Mechanics,2001,127(8):762-766.
[12]Wanatowski,D,Chu J.Stress-strain behavior of a granular fill measured by a new plane strain apparatus[J].Geotechnical Testing Journal,2006,29(2):1-9.
[13]Rechenmacher A L.Grain-scale processes governing shear band initiation and evolution in sands[J].Journal of the Mechanics and Physics of Solids,2006,54(1):22-45.
© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号 地址：北京市海淀区学院路29号 邮编：100083 电话：办公室：(+86 10)66554848；文献借阅、咨询服务、科技查新：66554700 |