Three-Dimensional Asymmetrical Slope Stability Analysis Extension of Bishop’s, Janbu’s, and Morgenstern — Price’s Techniques
Three-Dimensional Asymmetrical Slope Stability Analysis Extension of Bishop’s, Janbu’s, and Morgenstern — Price’s Techniques
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DOI：
10.1061/(asce)1090-0241(2007)133:12(1544
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发表时间：
2007-12
影响因子：
3.9
通讯作者：
Y. Cheng;C. Yip
中科院分区：
文献类型：
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作者：
Y. Cheng;C. Yip
大多数现有的三维（3D）边坡稳定性分析方法都是基于相应的二维（2D）分析方法的简单扩展，并且隐含地假设对称平面或滑动方向。本文开发了基于 Bishop 简化法、Janbu 简化法和 Morgenstern-Price 法扩展的 3D 非对称边坡稳定性模型。在这些新公式下，滑动方向是唯一的，并且由 3D 力/力矩平衡确定。新公式的结果与正常情况下的经典方法相似，但在横向载荷下数值稳定。此外，作者证明，当前的公式实际上等同于 Jiang 和 Yamagami 的轴旋转公式，但更适合用于一般问题。作者还发现了 3D 极限平衡分析的一些固有局限性，而这些局限性在相应的 2D 分析中是不存在的。
Most existing three-dimensional (3D) slope stability analysis methods are based on simple extensions of corresponding two-dimensional (2D) methods of analysis and a plane of symmetry or direction of slide is implicitly assumed. In this paper, 3D asymmetric slope stability models based on extensions of Bishop’s simplified, Janbu’s simplified, and Morgenstern–Price’s methods are developed. Under these new formulations, the direction of slide is unique and is determined from 3D force/moment equilibrium. Results from the new formulations are similar to the classical methods in normal cases but are numerically stable under transverse load. Further, the writers demonstrate that the present formulation is actually equivalent to the axes rotation formulation by Jiang and Yamagami but is much more convenient to be used for general problems. The writers have also discovered some inherent limitations of 3D limit equilibrium analysis which are absent in the corresponding 2D analysis.