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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	Articles by authors
	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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http://rockmech.whrsm.ac.cn/EN/10.13722/j.cnki.jrme.2020.1004 OR http://rockmech.whrsm.ac.cn/EN/Y2021/V40/I10/2124

[2]	HAN S，GONG J X，ZHANG Y Q. Earth pressure of layered soil on retaining structures[J]. Soil Dynamics and Earthquake Engineering，2016，83：33-52.
[25]	CLOUGH G W，DUNCAN J M. Earth pressures[M]. Boston：Springer，1991：233-234.
[28]	BECKER D E，MOORE I D. Canadian foundation engineering manual[M]. Alliston：Canadian Geotechnical Society，2006：374-377.
[35]	贺行良. 刚性挡土墙土压力与位移关系试验研究[J]. 土工基础，2014，28(3)：141-144.(HE Xingliang. Experimental relationship between displacement and earth pressures on rigid retaining walls[J]. Soil Engineering and Foundation，2014，28(3)：141-144.(in Chinese))
[1]	DOU G T，XIA J W，YU W J，et al. Non-limit passive soil pressure on rigid retaining walls[J]. International Journal of Mining Science and Technology，2017，27(3)：581-587.
[3]	杨斌，胡立强. 挡土结构侧土压力与水平位移关系的试验研究[J]. 建筑科学，2000，16(2)：14-20.(YANG Bin，HU Liqiang. Test study on relationship between lateral earth pressure acting on retaining structures and horizontal displacement[J]. Building Science，2000，16(2)：14-20.(in Chinese))
[5]	徐日庆，陈页开，杨仲轩，等. 刚性挡墙被动土压力模型试验研究[J]. 岩土工程学报，2002，24(5)：569-575.(XU Riqing，CHEN Yekai，YANG Zhongxuan，et al. Experimental research on the passive earth pressure acting on a rigid wall[J]. Chinese Journal of Geotechnical Engineering，2002，24(5)：569-575.(in Chinese))
[8]	岳祖润，彭胤宗，张师德. 压实粘性填土挡土墙土压力离心模型试验[J]. 岩土工程学报，1992，14(6)：90-96.(YUE Zurun，PENG Yinzong，ZHANG Shide. Centrifuge model tests on lateral pressure on walls retaining compacted clayey backfill[J]. Chinese Journal of Geotechnical Engineering，1992，14(6)：90-96.(in Chinese))
[10]	陈页开，汪益敏，徐日庆，等. 刚性挡土墙被动土压力数值分析[J]. 岩石力学与工程学报，2004，23(6)：980-988.(CHEN Yekai，WANG Yimin，XU Riqing，et al. Numerical analyses of passive earth pressure on rigid retaining wall[J]. Chinese Journal of Rock Mechanics and Engineering，2004，23(6)：980-988.(in Chinese))
[6]	韦会强. 挡土墙土体渐进破坏试验研究与数值模拟[硕士学位论文][D]. 上海：同济大学，2007.(WEI Huiqiang. The test research and numerical analysis for the progressive rupture of the soil behind the retaining wall[M. S. Thesis][D]. Shanghai：Tongji University，2007.(in Chinese))
[12]	夏军武，窦国涛，苏琼，等. 不同变位模式黏土非极限被动土压力试验研究[J]. 西南交通大学学报，2019，54(4)：769-777.(XIA Junwu，DOU Guotao，SU Qiong，et al. An experiment study on the non-limit passive earth pressure of clay under different displacement modes[J]. Journal of Southwest Jiaotong University，2019，54(4)：769-777.(in Chinese))
[15]	王成华，王晓旋. 附加土压力理论的物理模型试验研究[J]. 南昌大学学报：工科版，2019，41(1)：40-44.(WANG Chenghua，WANG Xiaoxuan. Experimental study on physical model of additional earth pressure theory[J]. Journal of Nanchang University：Engineering and Technology，2019，41(1)：40-44.(in Chinese))
[17]	MEI G X，CHEN R，LIU J. New insight into developing mathematical models for predicting deformation-dependent lateral earth pressure[J]. International Journal of Geomechanics，2017，17(8)：06017003.
[19]	张常光，单冶鹏，高本贤，等. 刚性挡墙位移土压力的数学拟合公式研究综述[J]. 土木与环境工程学报，2020，42(6)：19-30.(ZHANG Changguang，SHAN Yepeng，GAO Benxian，et al. A state-of-the-art review on displacement−dependent earth pressure formulations of rigid retaining walls using mathematical fitting functions[J]. Journal of Civil and Environmental Engineering，2020，42(6)：19-30.(in Chinese))
[21]	卢坤林，杨扬. 非极限土压力的近似计算方法[J]. 合肥工业大学学报：自然科学版，2008，31(6)：946-949.(LU Kunlin，YANG Yang. Approximate mathematic expression of unlimited earth pressure[J]. Journal of Hefei University of Technology：Natural Science，2008，31(6)：946-949.(in Chinese))
[24]	MEI G X，CHEN Q M，SONG L H. Model for predicting displacement- dependent lateral earth pressure[J]. Canadian Geotechnical Journal，2009，46(8)：969-975.
[26]	KHOSRAVI M H，PIPATPONGSA T，TAKEMURA J. Experimental analysis of earth pressure against rigid retaining walls under translation mode[J]. Géotechnique，2013，63(12)：1 020-1 028.
[30]	NAGHADEH A R，TOKER N K. Exponential equation for predicting shear strength envelope of unsaturated soils[J]. International Journal of Geomechanics，2019，19(7)：04019061.
[33]	FANG Y S，HO Y C，CHEN T J. Passive earth pressure with critical state concept[J]. Journal of Geotechnical and Geoenvironmental Engineering，2002，128(8)：651-659.
[4]	张欣智. 土压力与支护结构位移之间的关系试验研究[硕士学位论文][D]. 桂林：桂林理工大学，2011.(ZHANG Xinzhi. Experimental study on the relationship between earth pressure and the displacement of rigid retaining wall[M. S. Thesis][D]. Guilin：Guilin University of Technology，2011.(in Chinese))
[13]	ZHANG X P，HU M L. Calculation method for earth pressure considering displacement[J]. Transactions of Nanjing University of Aeronautics and Astronautics，2009，26(3)：229-234.
[22]	卢坤林，杨扬. 考虑位移影响的主动土压力近似计算方法[J]. 岩土力学，2009，30(2)：553-557.(LU Kunlin，YANG Yang. Approximate calculation method of active earth pressure considering displacement[J]. Rock and Soil Mechanics，2009，30(2)：553-557.(in Chinese))
[31]	SHERIF M A，FANG Y S，SHERIF R I. ka and k0 behind rotating and non-yielding walls[J]. Journal of Geotechnical Engineering，1984，110(1)：41-56.
[9]	FANG Y S，ISHIBASHI I. Static earth pressures with various wall movements[J]. Journal of Geotechnical Engineering，1986，112(3)：317-333.
[18]	宋明健，汤连生，胡辉，等. 考虑坑壁位移和土压力方向的直撑力学特性[J]. 岩土力学，2009，30(7)：2 031-2 036.(SONG Mingjian，TANG Liansheng，HU Hui，et al. Mechanical characteristics of straight brace considering displacement of foundation pit and direction of earth pressure[J]. Rock and Soil Mechanics，2009，30(7)：2 031-2 036. (in Chinese))
[27]	刘建航，侯学渊. 基坑工程手册[M]. 北京：中国建筑工业出版社，1997：75-76.(LIU Jianhang，HOU Xueyuan. Excavation engineering handbook[M]. Beijing：China Architecture and Building Press，1997：75-76.(in Chinese))
[7]	陈页开，汪益敏，徐日庆，等. 刚性挡土墙主动土压力数值分析[J]. 岩石力学与工程学报，2004，23(6)：989-995.(CHEN Yekai，WANG Yimin，XU Riqing，et al. Numerical analyses of active earth pressure on rigid retaining wall[J]. Chinese Journal of Rock Mechanics and Engineering，2004，23(6)：989-995.(in Chinese))
[11]	FANG Y S，CHEN T J，WU B F. Passive earth pressures with various wall movements[J]. Journal of Geotechnical Engineering，1994，120(8)：1 307-1 323.
[20]	徐日庆. 考虑位移和时间的土压力计算方法[J]. 浙江大学学报：工学版，2000，34(4)：370-375.(XU Riqing. Methods of earth pressure calculation for excavation[J]. Journal of Zhejiang University：Engineering Science，2000，34(4)：370-375.(in Chinese))
[29]	NASH J E，SUTCLIFFE J V. River flow forecasting through conceptual models part I—A discussion of principles[J]. Journal of Hydrology，1970，10(3)：282-290.
[14]	HUANG M，LIU X R，ZHANG N Y，et al. Calculation of foundation pit deformation caused by deep excavation considering influence of loading and unloading[J]. Journal of Central South University，2017，24(9)：2 164-2 171.
[16]	XIE T，LUO Q. Macroscopic embodiment of stress−strain behavior of backfill soil on the displacement-dependent earth pressure curve[J]. International Journal of Geomechanics，2018，18(12)：04018178.
[23]	李厚恩，秦四清，孙强，等. 挡土墙发生位移情况下的土压力计算[J]. 岩土力学，2006，27(增2)：115-118.(LI Houen，QIN Siqing，SUN Qiang，et al. Earth pressure computation considering displacement of retaining wall[J]. Rock and Soil Mechanics，2006，27(Supp.2)：115-118.(in Chinese))
[32]	SADREKARIMI A，MONFARED S D. Numerical investigation of the mobilization of active earth pressure on retaining walls[C]// Proceedings of the 18th International Conference on Soil Mechanics and Geotechnical Engineering. Paris：[s. n.]，2013：793-796.
[34]	ALQARAWI A S，LEO C J，LIYANAPATHIRANA D S，et al. A spreadsheet-based technique to calculate the passive soil pressure based on the log-spiral method[J]. Computers and Geotechnics，2021，130：103926.