FU Ming-fu, XIE Bang-hua, LIAO Xiao-hong, YU li. Analysis of Slope Stability Based on Gradient-Dependent Non-Local Friction Model[J]. Applied Mathematics and Mechanics, 2013, 34(11): 1173-1181. doi: 10.3879/j.issn.1000-0887.2013.11.007
Citation: FU Ming-fu, XIE Bang-hua, LIAO Xiao-hong, YU li. Analysis of Slope Stability Based on Gradient-Dependent Non-Local Friction Model[J]. Applied Mathematics and Mechanics, 2013, 34(11): 1173-1181. doi: 10.3879/j.issn.1000-0887.2013.11.007

Analysis of Slope Stability Based on Gradient-Dependent Non-Local Friction Model

doi: 10.3879/j.issn.1000-0887.2013.11.007
Funds:  The National Natural Science Foundation of China;The National Basic Research Program of China (973 Program)
  • Received Date: 2013-05-17
  • Rev Recd Date: 2013-10-11
  • Publish Date: 2013-11-15
  • The stability of the slope with arc-shaped slip surface was studied based on the gradient-dependent non-local friction model and the gradient-dependent non-local material parameters were discussed. The material parameters, influence on the safety factor of slope stablity was analyzed from a microview with the mechanism of macro engineering problems probed. It is found that, when the non-local material parameters with microscopic properties change, the change of the slope safety factor will be not so big, but the trend will be very obvious. To discuss the influence of soil parameters on the safety factor, the gradient-dependent non-local friction model was compared with the local friction model, and the safety factor was found to be sensitive to the soil internal friction angle. The results provide useful reference for the engineering of soil slope treatment.
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  • [1]
    张强用. 岩土工程强度与稳定计算及工程应用[M]. 北京: 中国建筑工业出版社, 2005.(ZHANG Qiang-yong.Strength and Stability Calculation of Geotechnical Engineering and the Engineering Application [M]. Beijing: China Architecture & Building Press, 2005.(in Chinese))
    [2]
    李杰. 边坡稳定性问题的理论分析及其应用研究[D]. 硕士学位论文. 大连: 大连理工大学, 2002.(LI Jie. Theoretical analysis and application research of the slope stability problems[D]. Master Thesis. Dalian: Dalian University of Technology, 2002.(in Chinese))
    [3]
    刘华丽, 朱大勇, 钱七虎, 周先华. 滑面正应力分布对边坡安全系数的影响[J]. 岩石力学与工程学报, 2006, 25(7): 1323-1330.(LIU Hua-li, ZHU Da-yong, QIAN Qi-hu, ZHOU Xian-hua. Effect of normal stress distribution on factor of safety of a slope[J].Chinese Journal of Rock Mechanics and Engineering,2006, 25(7): 1323-1330.(in Chinese))
    [4]
    刘华丽, 朱大勇, 钱七虎, 周先华. 基于滑面正应力假设的土压力计算方法[J]. 地下室空间与工程学报, 2006, 2(5): 784-788.(LIU Hua-li, ZHU Da-yong, QIAN Qi-hu, ZHOU Xian-hua. Method for computation of earth pressure based on normal stress assumption[J].Chinese Journal of Underground Space and Engineering,2006, 2(5): 784-788.(in Chinese))
    [5]
    廖小红. 非局部摩擦模型在土体分析中的应用[D]. 硕士学位论文. 南昌: 南昌大学, 2011.(LIAO Xiao-hong. The application of nonlocal friction model in analysis of soil[D]. Master Thesis. Nanchang: Nanchang University, 2011.(in Chinese))
    [6]
    Mauldon M, Ureta J. Stability analysis of rock wedges with multiple sliding surfaces[J].Journal of Geotechnical and Geological Engineering,1999, 14(1): 51-66.
    [7]
    沈爱超, 李铀. 单一地层任意滑移面的最小势能边坡稳定性分析方法[J]. 岩土力学, 2009, 30(8): 2463-2466.(SHEN Ai-chao, LI You. Minimal potential energy method for analyzing slope stability of arbitrary sliding surface on a single stratum[J].Rock and Soil Mechanics,2009, 30(8): 2463-2466.(in Chinese))
    [8]
    李小强, 白世伟, 李铀. 最小势能方法在二维边坡稳定分析中的应用[J]. 岩土力学, 2004, 2(6): 909-912.(LI Xiao-qiang, BAI Shi-wei, LI You. 2D slope stability analysis using principle of minimum potential energy[J].Rock and Soil Mechanics,2004, 2(6): 909-912.(in Chinese))
    [9]
    李小强. 最小势能原理在边坡稳定性分析中的应用研究[D]. 博士学位论文. 长沙: 中南大学, 2003.(LI Xiao-qiang. Applied research of the principle of minimum potential energy on slope stability analysis[D]. PhD Thesis. Changsha: Central South University, 2003.(in Chinese))
    [10]
    Eringen A C.Nonlocal Polar Field Theories [M]. New York: Academic Press, 1976.
    [11]
    Edelen D G B.Nonlocal Field Theories [M]. New York: Academic Press, 1976.
    [12]
    Edelen D G B. Irreversible thermodynamics of nonlocal systems[J].International Journal of Engineering Science,1974, 12(7): 607631.
    [13]
    Oden J T, Pires E B. Nonlocal and nonlinear friction laws and variatioal principles for contact problems in elasticity[J].Journal of Applied Mechanics,1983, 50(1): 67-76.
    [14]
    扶名福, 郭良, 陈桂尧. 非局部摩擦在塑性加工中的应用[J].力学季刊, 2001, 22(1):112-116.(FU Ming-fu, GUO Liang, CHEN Gui-yao. An application of nonlocal friction in plastic working problems[J].Chinese Quarterly of Mechanics,2001, 22(1): 112-116.(in Chinese))
    [15]
    谢帮华. 工程力学[M]. 南京: 南京大学出版社, 2012.(XIE Bang-hua.Engineering Mechanics [M]. Nanjing: Nanjing University Press, 2012.(in Chinese))
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