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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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

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	ZHANG Changguang1
	2
	SHAN Yepeng1
	GAO Benxian1

Cite this article:

ZHANG Changguang1,2,SHAN Yepeng1, et al. A new mathematical fitting formulation of earth pressure considering the displacement of retaining walls[J]. , 2021, 40(10): 2124-2135.

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https://rockmech.whrsm.ac.cn/EN/10.13722/j.cnki.jrme.2020.1004 OR https://rockmech.whrsm.ac.cn/EN/Y2021/V40/I10/2124

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