广东工业大学学报 ›› 2018, Vol. 35 ›› Issue (06): 57-62.doi: 10.12052/gdutxb.180006

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考虑土体强度各向异性的边坡稳定性分析

刘亚栋, 杨雪强, 徐雷, 林耀康, 龚星   

  1. 广东工业大学 土木与交通工程学院, 广东 广州 51006
  • 收稿日期:2018-01-11 出版日期:2018-11-23 发布日期:2018-11-23
  • 通信作者: 杨雪强(1966-),男,教授,博士,主要研究方向为岩土类材料的强度与变形的基本特性、深基坑、边坡稳定及挡土结构土压力等.E-mail:xqyfls@126.com E-mail:xqyfls@126.com
  • 作者简介:刘亚栋(1991-),男,硕士研究生,主要研究方向为各向异性条件下的边坡稳定.
  • 基金资助:
    国家重点研发计划项目(2017YFB0903700);中国博士后科学基金资助项目(2017M622635)

A Stability Analysis of Slope Considering Strength Anisotropy in Soils

Liu Ya-dong, Yang Xue-qiang, Xu Lei, Lin Yao-kang, Gong Xing   

  1. School of Civil and Transportation Engineering, Guangdong University of Technology, Guangzhou 510006, China
  • Received:2018-01-11 Online:2018-11-23 Published:2018-11-23

摘要: 由于天然土体具有各向异性特征,应在边坡稳定性分析中考虑其影响. 对于黏土材料,将各向异性状态参数定义为材料组构张量与标准化偏应力张量之间的联合不变量,提出在抗剪强度指标cφ中耦合该参数的表达式,并结合已有的试验结果验证了该公式的有效性. 将各向异性强度参数公式应用于边坡稳定分析,并进行大量计算. 研究表明:对于坡角为14°的缓坡,考虑强度各向异性的影响后,边坡安全系数降低可达22.0%;当坡角增加到55°时,各向同性与各向异性安全系数相对差值略大于8.0%. 即表明土体强度的各向异性对缓坡安全系数的影响比对陡坡的大,尤其对于高而平缓的边坡,这种影响应当引起重视.

关键词: 组构张量, 强度各向异性, 极限平衡法, 边坡稳定

Abstract: Due to the anisotropic characteristic of natural soils, their effects should be considered in slope stability analysis. For soils, the expressions of shear strength parameters c and φ are proposed by incorporating an anisotropic state scalar parameter which is a joint invariant of material fabric tensor and normalized deviatoric stress tensor, and the validity of the formula is verified by existing test results. The formula of anisotropic strength parameter is applied to slope stability analysis and a large number of calculations are performed. The results show that slope safety factor can be reduced by 22.0% after considering the anisotropy of strength for the gentle slope with an angle of 14°. When the slope angle is increased to 55°, the relative difference of safety factor in isotropy and anisotropy is slightly more than 8.0%. It indicates that the anisotropy of soil strength has a greater impact on the gentle slope than on the steep slope, especially for high and gentle slopes, which deserves attention.

Key words: fabric tensor, strength anisotropy, limit equilibrium method, slope stability

中图分类号: 

  • P642
[1] KOUTSOFTAS D C, LADD C C. Design strengths for an offshore clay[J]. Journal of Geotechnical Engineering, 1985, 111(3):337-355
[2] LO K Y. Stability of slopes in anisotropic soils[J]. Journal of Soil Mechanics and Foundations Division, 1965, 91(SM4):85-106
[3] CASAGRANDE A, CARILLO N. Shear failure of anisotropic materials[J]. Journal of the Boston Society of Civil Engineers, 1944, 31(4):74-87
[4] CHEN W F, SNITBHAN N, FANG H Y. Stability of slopes in anisotropic, nonhomogeneous soils[J]. Canadian Geotechnical Journal, 1975, 12(1):146-152
[5] AL-KARNI A A, AL-SHAMRANI M A. Study of the effect of soil anisotropy on slope stability using method of slices[J]. Computers and Geotechnics, 2000, 26(2):83-103
[6] 孟庆银. 各向异性土坡稳定性的极限平衡遗传算法[J]. 河北工程大学学报(自然科学版), 2003, 20(2):45-47 MENG Q Y. Stability analysis of anisotropic soil slope using limit equilibrium genetic algorithm method[J]. Journal of Hebei University of Engineering (Natural Science Edition), 2003, 20(2):45-47
[7] 王建锋, 陈祖煜, 张基泰. 各向异性非线性强度条件下的边坡稳定性[J]. 力学与实践, 2004, 26(5):22-26 WANG J F, CHEN Z Y, CHANG J T. Slope stability analysis with nonlinear failure envelopes using Janbu's generalized procedure of slices[J]. Mechanics in Engineering, 2004, 26(5):22-26
[8] 年廷凯, 栾茂田, 杨庆. 考虑各向异性效应的阻滑桩加固土坡稳定性分析[J]. 大连理工大学学报, 2005, 45(6):858-864 NIAN T K, LUAN M T, YANG Q. Stability analysis of soil slopes stabilized by piles considering effect of soil anisotropy using upper-bound method of limit analysis[J]. Journal of Dalian University of Technology, 2005, 45(6):858-864
[9] 栾茂田, 年廷凯, 杨庆. 考虑非均质各向异性效应的阻滑桩加固土坡稳定性分析[J]. 岩土力学, 2006, 27(4):530-536 LUAN M T, NIAN T K, YANG Q. Stability analysis of pile-stabilized slopes considering both nonhomogeneity andanisotropy of soil strength using upper bound method of limit analysis[J]. Rock and Soil Mechanics, 2006, 27(4):530-536
[10] 杨雪强, 区兆光, 郑榕明, 等. 坡顶局部荷载下边坡的二维和三维稳定分析(Ⅱ)——极限分析的上限法[J]. 广东工业大学学报, 2009, 26(1):1-8 YANG X Q, AU S K, CHENG Y M, et al. Two and three-dimensional stability analyses of slopes with local load on top surface (Ⅱ)——Using upper-bound method of limit analysis[J]. Journal of Guangdong University of Technology, 2009, 26(1):1-8
[11] 王栋, 金霞. 考虑强度各向异性的边坡稳定有限元分析[J]. 岩土力学, 2008, 29(3):667-672 WANG D, JIN X. Slope stability analysis by finite elements considering strength anisotropy[J]. Rock and Soil Mechanics, 2008, 29(3):667-672
[12] ODA M, NAKAYAMA H. Yield function for soil with anisotropic fabric[J]. Journal of Engineering Mechanics, 1989, 115(1):89-104
[13] PIETRUSZCZAK S, MROZ Z. On failure criteria for anisotropic cohesive-frictional materials[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2001, 25(5):509-524
[14] YANG X Q, ZHANG L J, JI X M. Strength characteristics of transversely isotropic rock materials[J]. Geomechanics and Engineering, 2013, 5(1):71-86
[15] SCHWEIGER H F, WILTAFSKY C, SCHARINGER F, et al. A multilaminate framework for modelling induced and inherent anisotropy of soils[J]. Géotechnique, 2009, 59(2):87-101
[16] 张玉军, 张维庆. 不同的层状岩体抗剪强度表达式计算效果的有限元分析[J]. 岩土力学, 2014, 35(S1):359-364 ZHANG Y J, ZHANG W Q. Finite element analyses of computational effects with of different shear strength expressions for layered rock mass[J]. Rock and Soil Mechanics, 2014, 35(S1):359-364
[17] 赵红华, 袁聚云, 叶志成. 上海褐黄色粉质粘土各向异性的试验研究[J]. 勘察科学技术, 2002(4):21-24 ZHAO H H, YUAN J Y, YE Z C. Experimental study on the anisotropy of brownish-yellow silty clay in Shanghai[J]. Site Investigation Science and Technology, 2002(4):21-24
[18] 杨雪强, 凌平平, 杨锐, 等. 坡顶局部荷载下边坡的二维和三维稳定分析(Ⅰ)——强度折减的有限元法[J]. 广东工业大学学报, 2008, 25(4):86-93 YANG X Q, LING P P, YANG R, et al. Two and three-dimensional stability analyses of slopes with local load on top surface (I)-Using strength reduction finite element method[J]. Journal of Guangdong University of Technology, 2008, 25(4):86-93
[19] 杨雪强, 李子生, 梁仕华. 混凝土板的冲切强度[J]. 应用力学学报, 2009, 26(4):731-735 YANG X Q, LI Z S, LIANG S H. Punching strength of concrete slab[J]. Chinese Journal of Applied Mechanics, 2009, 26(4):731-735
[20] 杨雪强, 吴子超, 杨宗轲. 一般应力状态下挡土墙上主动土压力研究[J]. 中国公路学报, 2010, 23(2):25-29 YANG X Q, WU Z C, YANG Z K. Research on active soil pressure on retaining wall under general stress states[J]. China Journal of Highway and Transport, 2010, 23(2):25-29
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