| 基于等效塑性应变的三维边坡滑面搜索 |
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| 引用本文： | 孙冠华,郑宏,李春光.基于等效塑性应变的三维边坡滑面搜索[J].岩土力学,2010,31(2):627-632. |
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| 作者姓名： | 孙冠华 郑宏 李春光 |
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| 作者单位： | 中国科学院武汉岩土力学研究所,岩土力学与工程国家重点实验室,武汉,430071 |
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| 基金项目： | 国家自然科学基金项目 |
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| 摘 要： | 边坡三维临界滑面的定位问题是边坡稳定性分析中尚未得以很好解决的一个重要问题。注意到临界滑面是由沿深部方向上的等效塑性应变的极大点所组成这一现象，在利用强度折减法将边坡带入临界平衡状态后，通过在水平面上设置一系列的垂直直线，并找出每条直线上的等效塑性应变最大值的位置，就得到了三维边坡滑面上离散点的分布。最后，采用被称为薄板光顺样条（thin-plate smoothing spline）函数的插值方法对滑面上的离散点进行了插值光顺处理，在不指定边坡滑动模式和滑面形状的前提下就可以得到三维边坡的临界滑面。通过在三维凸型边坡中的应用，体现了该方法在确定三维边坡临界滑面上的优越性。
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| 关 键 词： | 边坡稳定性 三维临界滑面 薄板光顺样条 凸型边坡 |
| 收稿时间： | 2009-01-14 |
Searching critical slip surface of three-dimensional slopes based on equivalent plastic strain |
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| SUN Guan-hua,ZHENG Hong,LI Chun-guang.Searching critical slip surface of three-dimensional slopes based on equivalent plastic strain[J].Rock and Soil Mechanics,2010,31(2):627-632. |
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| Authors: | SUN Guan-hua ZHENG Hong LI Chun-guang |
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| Institution: | State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China |
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| Abstract: | The location of three-dimensional critical slip surfaces of slopes is a very important problem that has not been thoroughly solved. Observing that any point on a critical slip surface is a local maximum point of the equivalent strain in vertical direction, the strength reduction technique is used to bring the slope into the critical state. Then, a set of vertical lines are arranged within a horizontal plane. Finding out the maximum point of the equivalent plastic strain on each of the vertical lines, a group of discrete points on the critical slip surface will be obtained. Last, the discrete points are smoothed by means of the thin-plate smoothing spline; and the position of the critical 3D slip surface is determined. The proposed procedure is confirmed through the applications of the convex slopes, a typical kind of 3D slopes. |
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| Keywords: | slope stability 3D critical slip surface convex slope thin-plate smoothing spline |
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