A limit analysis of the ultimate pullout capacity of a shallow horizontal strip anchor plate embedded in slope
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摘要: 针对山区和丘陵等复杂地形下浅埋锚板抗拔承载力计算问题，基于极限分析上限定理、非线性Mohr-Coulomb强度准则及其关联流动法则，构造了斜坡浅埋水平条形锚板的曲线型破裂机制和机动许可速度场，采用变分极值原理获得了其上方土体破裂面方程和抗拔承载力的上限解，分析了斜坡倾角和锚板埋深对锚板抗拔承载力的影响。结果表明：随着斜坡倾角的增大，锚板抗拔承载力逐渐减小，此时其上方两侧土体破裂面不再对称且整体向下坡侧偏移；锚板抗拔承载力及其上方两侧土体破裂面宽度均随着埋深增大而增加；锚板埋深越小，斜坡倾角对其抗拔承载力的影响越大，应在计算中予以考虑，以更合理地反映斜坡浅埋水平条形锚板的抗拔承载特性。Abstract: Aiming at calculating the ultimate pullout capacity of a shallow horizontal strip anchor plate embedded in complicated topographical regions, e.g., mountainous areas, a kinematic admissible velocity field of the curved failure mechanism is constructed for the shallow horizontal strip anchor plate embedded in slope, based on the upper bound limit analysis theorem, the nonlinear Mohr-Coulomb failure criterion as well as the associated flow rules. The ultimate pullout force and failure mechanism are deduced using the variation minimum principle. Influences of the inclination angle and embedded depth on the ultimate pullout force are discussed in detail. The results show that the ultimate pullout force of the anchor plate decreases with the increasing inclination angle and the failure planes of the above ground are no longer symmetrical with an obvious shifting to the down side of the slope. Along with the increasing embedded depth, the ultimate pullout force of the anchor plate increases with a larger failure scope of the above ground. The inclination angle has a greater impact on the ultimate pullout force of the anchor plate with a smaller embedded depth. This effect should be taken into account for reasonably characterizing the ultimate bearing feature of a shallow horizontal strip anchor plate embedded in slope.
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