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基于梯度依赖的非局部摩擦模型的土坡稳定性分析

扶名福 谢帮华 廖小红 余丽

扶名福, 谢帮华, 廖小红, 余丽. 基于梯度依赖的非局部摩擦模型的土坡稳定性分析[J]. 应用数学和力学, 2013, 34(11): 1173-1181. doi: 10.3879/j.issn.1000-0887.2013.11.007
引用本文: 扶名福, 谢帮华, 廖小红, 余丽. 基于梯度依赖的非局部摩擦模型的土坡稳定性分析[J]. 应用数学和力学, 2013, 34(11): 1173-1181. doi: 10.3879/j.issn.1000-0887.2013.11.007
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

基于梯度依赖的非局部摩擦模型的土坡稳定性分析

doi: 10.3879/j.issn.1000-0887.2013.11.007
基金项目: 教育部博士学科点专项科研基金资助项目(20123601110001)
详细信息
    作者简介:

    扶名福(1953—),男,江西人,教授,硕士,博士生导师;谢帮华(1982—),男,江西人,讲师,博士(通讯作者. E-mail: 39131325@qq.com);廖小红(1988—),女,江西人,硕士;余丽(1982—),女,江西人,博士.

  • 中图分类号: O39;TU441+.35

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

Funds: The National Natural Science Foundation of China;The National Basic Research Program of China (973 Program)
  • 摘要: 研究了基于梯度依赖的非局部摩擦模型下圆弧滑裂面土坡的稳定性,并对梯度依赖的非局部材料参数进行讨论与分析,研究了此参数对土坡安全系数的影响,从微观的角度分析宏观工程问题发挥机理的本质,发现带微观性质的非局部材料参数变化时,土坡安全系数变化虽然不大,但变化趋势很明显.当讨论土体相关参数对安全系数的影响时,根据梯度依赖的非局部摩擦模型与局部摩擦模型的对比,发现安全系数对内摩擦角的变化比较敏感,可为工程中土坡治理提供参考依据.
  • [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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出版历程
  • 收稿日期:  2013-05-17
  • 修回日期:  2013-10-11
  • 刊出日期:  2013-11-15

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