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首页> 外文期刊>Canadian Geotechnical Journal >Three-dimensional upper-bound analysis for ultimate bearing capacity of laterally loaded rigid pile in undrained clay
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Three-dimensional upper-bound analysis for ultimate bearing capacity of laterally loaded rigid pile in undrained clay

机译：不排水黏土中侧向受压刚性桩极限承载力的三维上限分析

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摘要

A new three-dimensional upper-bound combined failure mechanism is presented to analyze the lateral ultimate capacity of rigid piles embedded in various soil conditions, involving homogeneous soils, layered soils, and Gibson soils. The wedge curved failure surface function composed by rotating the Newton interpolation polynomial is adopted near the ground surface, and a plane strain collapse mechanism is employed at depth. Furthermore, the energy dissipation of the transition interface is introduced to keep a kinematically admissible velocity field between the wedge and the plane strain mechanism. An empirical equation is then proposed based on the upper-bound solutions for the homogeneous soils, and extended to the layered soils and Gibson soils. Meanwhile, the three-dimensional arbitrary Lagrangian-Eulerian (ALE) analysis is employed to investigate the distribution of limiting pressures along the pile shaft for different soil parameters. It is found that the upper-bound solutions based on the rigid-plastic assumption only exhibits a good agreement with the finite element (FE) results for a very high soil rigidity index of 10 000, due to a Possion's ratio of approximate but less than 0.5 in such a typical undrained FE analysis. For such a Possion's ratio, an inevitably slight elastic volumetric change induces the unexpected cavity flow at the deep section of the pile. It leads to the soil rigidity affecting the profile distribution of the bearing capacity, although it is not true for a real undrained analysis. Finally, a centrifuge test is analyzed by the upper-bound method to further testify the rationality of the new failure mechanism.
机译：提出了一种新的三维上限组合破坏机理，以分析埋在各种土壤条件下的刚性桩的横向极限承载力，这些条件包括均质土，层状土和吉布森土。在地面附近采用通过旋转牛顿插值多项式组成的楔形弯曲破坏面函数，并在深度采用平面应变塌陷机制。此外，引入过渡界面的能量耗散以在楔形件和平面应变机构之间保持运动学上允许的速度场。然后根据均质土的上限解提出经验方程，并扩展到层状土和吉布森土。同时，利用三维任意拉格朗日-欧拉（ALE）分析方法研究了不同土壤参数下沿桩身的极限压力分布。结果发现，基于高刚度假设的上限解仅与有限元（FE）结果显示出良好的一致性，因为很高的土壤刚度指数为10000，因为Possion的比值近似但小于在这种典型的不排水有限元分析中为0.5。对于这样的位置比率，不可避免的轻微的弹性体积变化会在桩的深部引起意外的空腔流动。尽管对于真正的不排水分析而言并非如此，但这会导致土壤刚度影响承载力的分布。最后，通过上限方法对离心机测试进行了分析，以进一步证明新的失效机理的合理性。

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