Stability Analysis of Anti-dip Rock Slopes with Flexural Toppling Failure Based on Deformation Compatibility

Stability Analysis of Anti-dip Rock Slopes with Flexural Toppling Failure Based on Deformation Compatibility
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基于变形相容性的弯曲倾倒破坏反倾岩质边坡稳定性分析

DOI:
10.1007/s00603-020-02098-z
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发表时间:
2020-04
影响因子:
6.2
通讯作者:
Nian Tingkai
Nian Tingkai
中科院分区:
工程技术2区
文献类型:
--
作者:
Zhao Wei;Wang Runqing;Nian Tingkai

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层状岩质边坡常发生挠曲倾倒,岩柱表现为倾斜叠加的悬臂梁,在自重作用下发生弯曲。然而,反倾岩质边坡的节理间距往往不均匀,岩柱的刚度不同,其变形能力也不相同。根据材料力学原理,破坏面处的弯矩和剪力应满足一定的比例关系,才能达到相同的挠度。建立了基于变形协调的弯曲倾倒破坏分析模型。在该模型中,边坡通过破坏面上的剪力分为自由弯沉区和协调弯沉区。各块体的安全系数可由弯矩计算得出,用最小的安全系数代表边坡的安全性。此外,对于等厚模型,建议采用平均刚度法来确定非均匀节理间距的片理化岩质边坡的计算厚度。最后,通过一个实例对所提出的方法进行了验证.
Flexural toppling often occurs in layered rock slopes, and rock columns behave like inclined superimposed cantilever beams that bend under their own weight. However, anti-dip rock slopes always have nonuniform joint spacing, and rock columns do not have the same ability of deformation due to different stiffness. To have the same deflection, based on the mechanics of materials, the moment and shear force at the failure surface should satisfy a certain proportional relationship. An analytical model based on deformation compatibility against the flexural toppling failure has been established. In the proposed model, the slope is divided into free deflection zones and compatible deflection zones by shear forces on the failure surface. The safety factor of each block can be calculated by the bending moment, and the least factor is used to represent the safety of the slope. In addition, for an equal thickness model, the average stiffness method is suggested to determine the calculated thickness for foliated rock slopes with nonuniform joint spacing. Finally, a case study is used for practical verification of the proposed method.
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