p-y曲線代表每一單位長度樁上的土壤承載力與土壤位移的函數。其常被用在模擬土和樁之間非線性互動作用之行為。許多研究已提出了適應在不同土壤的p-y曲線以模擬樁土互制之行為，不過，針對在液化砂土中該如何模擬樁土行為仍存在很大的不確定性。本文提出一種p-y曲線的分析流程，其包含了反應液化砂土中在不同土壤弱化狀態之樁土受力行為的p-y曲線。同時，這些p-y曲線試圖反映土壤的剪脹行為和樁土界面樁土界面空隙效應的影響。此p-y曲線的分析流程包含： 由p倍率 和 y倍率來修正正常砂土之p-y曲線的上限p-y曲線、反應液化砂土中殘餘應力狀態之下線p-y曲線及針對位於在兩個邊界之間應力狀態之線性內插的p-y曲線。經過這個分析流程計算出的樁土在液化土層中的反應與現場全尺寸試驗的結果有較高之符合，因此，對不同的土壤弱化狀態採用不同修正的p-y曲線可合理的模擬因液化或超額孔隙水壓力激發而影響的樁土互制行為。

P-Y curves that represent the soil resisting force per unit length of pile as a function of soil displacement are generally used to model the interaction behavior of soil and pile. However, there are significant uncertainties about how to model soil-pile behavior in liquefiable sand. A new p-y model analysis procedure, which is capable of reflecting the dilative behavior of soil and the gap effect under different soil stress states, is presented in an attempt to develop a practical approach for soil-pile interaction behavior. This p-y model incorporates an upper-bound p-y curve calculated from the improved p-multiplier and y-multiplier and a lower-bound p-y curve regarding the residual state of the soil-pile reaction in liquefied sand. Also, for the stress state between the two boundaries, the p-y curve can be approximately obtained from linear interpolation. The calculated results indicate that the proposed p-y model provides reasonable estimates of response for piles in liquefiable sand under certain restrictions.

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