考虑挡墙位移的土压力数学拟合新方法研究

doi:10.13722/j.cnki.jrme.2020.1004

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摘要在总结挡墙位移土压力规律与数学拟合方法的基础上，将Sigmoid函数用于描述挤压或松弛应力与挡墙位移关系，提出考虑挡墙位移的土压力数学拟合新方法及其公式，继而校核位移土压力的初值条件和数学特征，借鉴已有位移土压力表达式和实测反演确定新方法中的唯一剩余参数，对比文献模型试验、数值模拟以及代表性数学拟合公式进行验证，最后利用有效性准则和百分比偏差准则定量评估了提出的新方法与代表性数学拟合公式的性能差异。研究表明：所建立的位移土压力数学拟合新方法及其公式简单实用，满足初值条件、单调递增性且存在拐点，并得到模型试验、数值模拟以及代表性数学拟合公式的全面验证，有效性与百分比偏差均处于整体优良水平。结果可为土压力精细计算和挡墙优化设计提供有益的参考。

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	张常光1
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	单冶鹏1
	高本贤1

关键词 ：土力学, 挡墙, 位移土压力, 数学拟合方法, 参数反演, 性能评估

Abstract：Based on summarizing the displacement-dependent earth pressure discipline and mathematical fitting methods，and adopting Sigmoid function to describe the relationship between the extrusion or relaxation stress and the displacement of a retaining wall，a new mathematical fitting method and its formula of the earth pressure were presented to account for the displacement of retaining walls. The initial condition and mathematic features of the proposed formula were checked，and the only remaining parameter was back-analyzed from the existing displacement-dependent earth pressure equations and available model test results. The proposed formula was further verified by model tests，numerical simulations and representative mathematical fitting equations reported in the literature. Finally，the Nash-Sutcliffe Efficiency criterion and the Percent Bias criterion were employed to quantitatively evaluate performance differences between the new method of this study and representative mathematical fitting equations. The results show that the proposed new mathematical fitting method and its formula，satisfying the initial conditions and increasing monotonically with an inflection point，have a broad prospect of engineering applications due to the fact that they are simple and practical，and the efficiency and percent bias are in an overall excellent level according to comprehensive validation against model tests，numerical simulations and representative mathematical fitting equations. This study can provide useful references for the sophisticated calculation of the earth pressure and the optimal design of retaining walls.

Key words： soil mechanics retaining wall displacement-dependent earth pressure mathematical fitting method parameter back- analysis performance evaluation

引用本文:

张常光1，2，单冶鹏1，高本贤1. 考虑挡墙位移的土压力数学拟合新方法研究[J]. 岩石力学与工程学报, 2021, 40(10): 2124-2135.
ZHANG Changguang1，2，SHAN Yepeng1，GAO Benxian1. A new mathematical fitting formulation of earth pressure considering the displacement of retaining walls. , 2021, 40(10): 2124-2135.

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http://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2020.1004 或 http://rockmech.whrsm.ac.cn/CN/Y2021/V40/I10/2124

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