基于有限元重度增加法计算边坡稳定系数
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摘要
近年来,有限元分析方法在边坡稳定分析中的应用日益广泛,其具体方法分为强度折减法与重度增加法。与强度折减法相比,重度增加法在边坡平缓或者土体摩擦角较大时,很难得到边坡的稳定系数。文中对重度增加法进行改进,采用调整重度增加法的土体剪切屈服强度进行边坡稳定性分析,通过算例对比改进后方法与强度折减法计算得到稳定系数差别。进一步进行了实际工程算例分析,并与规范方法计算结果进行对比,验证文中方法在实际工程应用中具有可行性。
in recent years,Finite element method(FEM)has been extensively applied to the stability analysis of slopes,and it consists two specific methods,namely strength reduction method(SRM) and gravity increase method(GIM).Comparing with the SRM,the GIM is difficult to obtain the factor of safety for a slope with small slope inclination or high friction angles of soil.In this paper,the GIM is modified by adjusting yield shear strength of soil in calculaton.The analytical examples are given to show the differences between factors of safety obtained by SRM and the modified GIM.The modified GIM is applied to an example involving Engineering Practice,and compared with Method of specification.It is concluded from the study that the modified GIM is of applicability and flexibility.
in recent years,Finite element method(FEM)has been extensively applied to the stability analysis of slopes,and it consists two specific methods,namely strength reduction method(SRM) and gravity increase method(GIM).Comparing with the SRM,the GIM is difficult to obtain the factor of safety for a slope with small slope inclination or high friction angles of soil.In this paper,the GIM is modified by adjusting yield shear strength of soil in calculaton.The analytical examples are given to show the differences between factors of safety obtained by SRM and the modified GIM.The modified GIM is applied to an example involving Engineering Practice,and compared with Method of specification.It is concluded from the study that the modified GIM is of applicability and flexibility.
引文
[1]郑颖人,赵尚毅,张鲁渝.用有限元强度折减法进行边坡稳定分析[J].中国工程科学,2002,4(10):57-61.ZHENG Yingren,ZHAO Shangyi,ZHANG Luyu.Slope stability analysis by strength reduction FEM[J].Engineering Science,2002,4(10):57–61.
[2]赵尚毅,郑颖人,刘明维,等.基于Drucker-Prager准则的边坡安全系数定义及其转换[J].岩石力学与工程学报,2006,25(S1):2730-2734.ZHAO Shangyi,ZHENG Yingren,LIU Mingwei,et al.Definition And transformation of slope safety factor based on drucker-prager criterion[J].Chinese Journal of Rock Mechanics and Engineering,2006,25(S1):2730-2734.
[3]赵尚毅,郑颖人,时卫民,等.用有限元强度折减法求边坡稳定安全系数[J].岩土工程学报,2002,24(3):333-336.ZHAO Shangyi,ZHENG Yingren,SHI Weimin,et al.Analysis on safety factor of slope by strength reduction FEM[J].Chinese Jounal of Geotech-nical Engineering,2002,24(3):333-336.
[4]郑颖人,陈祖煜,王恭先,等.边坡与滑坡工程治理[M].北京:人民交通出版社,2007.ZHENG Yingren,CHEN Zuyu,WANG Gongxian,et al.Engineering treatment of slope&landslide[M].Beijing:China Communication Press,2007.
[5]徐卫亚,肖武.基于强度折减和重度增加的边坡破坏判据研究[J].岩土力学,2007,28(3):505-511.XU Weiya,XIAO Wu、Study on slope failure criterion based on strength reduction and gravity increase method[J].Rock and Soil Mechanics,2007,28(3):505-511.
[6]肖武.基于强度折减法和容重增加法边坡稳定性分析及工程研究[D].南京:河海大学,2005:23-25.XIAO Wu.Slope Stability study on strength reduction and gravity increase method and its engineering application[D].Nanjing:Hohai University,2005:23-25.
[7]康亚明,杨明成,胡艳香.重度增加法在某公路边坡稳定性分析中的应用[J].中国地质灾害与防治学报,2006,17(3):154-157.KANG Yaming,YANG Mingcheng,HU Yanxiang.Application of gravity increase method in the analysis of highway slope stability[J].The Chi-nese Journal of Geological Hazard and Control,2006,17(3):154-157.
[8]方庆军,米海珍,银晓鹏.浅析重度增加法在边坡工程中的应用[J].甘肃科学学,2008,20(3):130-133.FANG Qingjun,MI Haizhen,YIN Xiaopeng.A brief analysis of gravity increase method slope projects[J].Journal of Gansu Sciences,2008,20(3):130-133.
[9]赵尚毅,郑颖人,张玉芳.有限元强度折减法中边坡失稳的判据探讨[J].岩土力学,2005,26(2):332-336.ZHAO Shangyi,ZHENG Yingren,ZHANG Yufang:Study on slope failure criterion in strength reduction finite element method[J].Rock and SoilMechanics,2005,26(2):332-336.
[10]刘春原,赵磊,张军其,等.某高速公路路基边坡稳定性分析[J].世界地震工程,2010.s1.322-325.LIU Chunyuan,ZHAO Lei,ZHANG Junqi,et al.Stability analysis of a highway subgrade slope[J].World Earthquake Engineering,2010.s1:322-325.
[11]徐继言,刘红帅,高山,等.均质岩石边坡自振周期及其估算方法研究[J].世界地震工程,2009,25(1)64-69.XU Jiyan,LIU Hongshuai,GAO Shan,et al.Study on natural period of homogeneous rock slope and its estimation method[J].World EarthquakeEngineering,2009,25(1):64-69.
[2]赵尚毅,郑颖人,刘明维,等.基于Drucker-Prager准则的边坡安全系数定义及其转换[J].岩石力学与工程学报,2006,25(S1):2730-2734.ZHAO Shangyi,ZHENG Yingren,LIU Mingwei,et al.Definition And transformation of slope safety factor based on drucker-prager criterion[J].Chinese Journal of Rock Mechanics and Engineering,2006,25(S1):2730-2734.
[3]赵尚毅,郑颖人,时卫民,等.用有限元强度折减法求边坡稳定安全系数[J].岩土工程学报,2002,24(3):333-336.ZHAO Shangyi,ZHENG Yingren,SHI Weimin,et al.Analysis on safety factor of slope by strength reduction FEM[J].Chinese Jounal of Geotech-nical Engineering,2002,24(3):333-336.
[4]郑颖人,陈祖煜,王恭先,等.边坡与滑坡工程治理[M].北京:人民交通出版社,2007.ZHENG Yingren,CHEN Zuyu,WANG Gongxian,et al.Engineering treatment of slope&landslide[M].Beijing:China Communication Press,2007.
[5]徐卫亚,肖武.基于强度折减和重度增加的边坡破坏判据研究[J].岩土力学,2007,28(3):505-511.XU Weiya,XIAO Wu、Study on slope failure criterion based on strength reduction and gravity increase method[J].Rock and Soil Mechanics,2007,28(3):505-511.
[6]肖武.基于强度折减法和容重增加法边坡稳定性分析及工程研究[D].南京:河海大学,2005:23-25.XIAO Wu.Slope Stability study on strength reduction and gravity increase method and its engineering application[D].Nanjing:Hohai University,2005:23-25.
[7]康亚明,杨明成,胡艳香.重度增加法在某公路边坡稳定性分析中的应用[J].中国地质灾害与防治学报,2006,17(3):154-157.KANG Yaming,YANG Mingcheng,HU Yanxiang.Application of gravity increase method in the analysis of highway slope stability[J].The Chi-nese Journal of Geological Hazard and Control,2006,17(3):154-157.
[8]方庆军,米海珍,银晓鹏.浅析重度增加法在边坡工程中的应用[J].甘肃科学学,2008,20(3):130-133.FANG Qingjun,MI Haizhen,YIN Xiaopeng.A brief analysis of gravity increase method slope projects[J].Journal of Gansu Sciences,2008,20(3):130-133.
[9]赵尚毅,郑颖人,张玉芳.有限元强度折减法中边坡失稳的判据探讨[J].岩土力学,2005,26(2):332-336.ZHAO Shangyi,ZHENG Yingren,ZHANG Yufang:Study on slope failure criterion in strength reduction finite element method[J].Rock and SoilMechanics,2005,26(2):332-336.
[10]刘春原,赵磊,张军其,等.某高速公路路基边坡稳定性分析[J].世界地震工程,2010.s1.322-325.LIU Chunyuan,ZHAO Lei,ZHANG Junqi,et al.Stability analysis of a highway subgrade slope[J].World Earthquake Engineering,2010.s1:322-325.
[11]徐继言,刘红帅,高山,等.均质岩石边坡自振周期及其估算方法研究[J].世界地震工程,2009,25(1)64-69.XU Jiyan,LIU Hongshuai,GAO Shan,et al.Study on natural period of homogeneous rock slope and its estimation method[J].World EarthquakeEngineering,2009,25(1):64-69.
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