地震荷载下边坡破裂面形状及其稳定性判识
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摘要
基于极限分析上限定理,结合边坡扇形条分法,采用序列二次规划优化算法并引入条间能量耗散系数,研究了地震荷载下潜在不稳定边坡的破裂面形状及其稳定性,通过算例分析并与相关研究成果比较,验证了本文理论方法的可行性.结果表明本文理论方法预测的潜在边坡破裂面介于直线破裂面与对数螺旋型破裂面之间.
Based on the theory of limit analysis, with the slope fan-shaped slice method, this paper utilized the sequential quadratic programming optimization algorithm and introduced the energy dissipation coefficient between fans to study the shape and stability of fracture surfaces of potentially unstable slopes under earthquake. This method proved to be feasible compared with an example analysis result and some similar research results. The result shows that, using this method, the potential slope fracture surface is between the straight line and the logarithmic spiral fracture surface.
Based on the theory of limit analysis, with the slope fan-shaped slice method, this paper utilized the sequential quadratic programming optimization algorithm and introduced the energy dissipation coefficient between fans to study the shape and stability of fracture surfaces of potentially unstable slopes under earthquake. This method proved to be feasible compared with an example analysis result and some similar research results. The result shows that, using this method, the potential slope fracture surface is between the straight line and the logarithmic spiral fracture surface.
引文
[1]Chen W F.Limit analysis and soil plasticity[M].New York:Elsevier Scientific Publishing Co,1975.
[2]Yang Xiao-li.Seismic bearing capacity of a strip footing on rock slopes[J].Canadian Geotechnical Journal,2009,46(8):943-954.
[3]郑颖人,叶林海,黄润秋.地震边坡破坏机制及其破裂面的分析探讨[J].岩石力学与工程学报,2009,28(8):1714-1723.
[4]李同录,邓宏科,李萍,等.搜索简单土坡潜在滑动面的一种新方法[J].长安大学学报:地球科学版,2003,25(3):56-59.
[5]陈祖煜.土力学经典问题的极限分析上、下限解[J].岩土工程学报,2002,24(1):111.
[6]吴永,何思明,张晓曦,等.基于上限定理的城市建筑基坑开挖条件分析[J].兰州大学学报:自然科学版,2011,47(1):31-36.
[7]Yang Xiao-li,Yin Jian-hua.Slope stability analysis with non-linear failure criterion[J].Journal of Engi-neering Mechanics,2004,130:267-273.
[8]Baker R.Determination of the critical slip sur-face in slope stability computations[J].Internation-al Journal for Numerical and Analytical Methods in Geomechanics,1980,4(4):333-359.
[9]Chen Zu-yu.Limit analysis for the classic problems of soil mechanics[J].Chinese Journal of Geotechnical Engineering,2002,24(1):111.
[10]刘华强,殷宗泽,沈珠江.条形板抗拔承载力塑性极限分析[J].岩土力学,2008,29(10):2683-2686.
[11]Collins I F,Gunn C M,Pender M J,et al.Slope stability analyses for materials with a non-linear failure envelope[J].International Journal for Numerical and Analytical Methods in Geomechan-ics,1988,12(5):533-550.
[12]Soubra A H.Upper-bound solutions for bearing capacity of foundations[J].Journal of Geotechnical and Geoenvironmental Engineering,1999,125(1):59-68.
[2]Yang Xiao-li.Seismic bearing capacity of a strip footing on rock slopes[J].Canadian Geotechnical Journal,2009,46(8):943-954.
[3]郑颖人,叶林海,黄润秋.地震边坡破坏机制及其破裂面的分析探讨[J].岩石力学与工程学报,2009,28(8):1714-1723.
[4]李同录,邓宏科,李萍,等.搜索简单土坡潜在滑动面的一种新方法[J].长安大学学报:地球科学版,2003,25(3):56-59.
[5]陈祖煜.土力学经典问题的极限分析上、下限解[J].岩土工程学报,2002,24(1):111.
[6]吴永,何思明,张晓曦,等.基于上限定理的城市建筑基坑开挖条件分析[J].兰州大学学报:自然科学版,2011,47(1):31-36.
[7]Yang Xiao-li,Yin Jian-hua.Slope stability analysis with non-linear failure criterion[J].Journal of Engi-neering Mechanics,2004,130:267-273.
[8]Baker R.Determination of the critical slip sur-face in slope stability computations[J].Internation-al Journal for Numerical and Analytical Methods in Geomechanics,1980,4(4):333-359.
[9]Chen Zu-yu.Limit analysis for the classic problems of soil mechanics[J].Chinese Journal of Geotechnical Engineering,2002,24(1):111.
[10]刘华强,殷宗泽,沈珠江.条形板抗拔承载力塑性极限分析[J].岩土力学,2008,29(10):2683-2686.
[11]Collins I F,Gunn C M,Pender M J,et al.Slope stability analyses for materials with a non-linear failure envelope[J].International Journal for Numerical and Analytical Methods in Geomechan-ics,1988,12(5):533-550.
[12]Soubra A H.Upper-bound solutions for bearing capacity of foundations[J].Journal of Geotechnical and Geoenvironmental Engineering,1999,125(1):59-68.
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