Abstract：Firstly, it is assumed that the soil pressure coefficient and degree of friction resistance at the interface of the inner and outer soil pillars are related to the relative displacement of the interface. Then, based on the traditional soil column model, an analysis model for soil arch effect is established, and the functional relationship between the pile-soil stress ratio and differential settlement at the bottom of the embankment is further obtained through a series of mathematical transformations like independent variable conversion. The geocell-reinforced body is simplified as a small deflection elastic sheet, and the deformation of piles and soil and the effect of interface friction are considered. By introducing the proposed soil arch effect model, nonlinear algebraic equations and an interaction model for "embankment-geocell-reinforced body-pile-soil reinforcement area" is established. To calculate this model, the iterative method is adopted. Finally, a new method for calculating the pile-soil stress ratio, the settlement of embankment and the differential settlement of piles and soil is obtained. Besides, the results are compared with those of the previous methods through example verification, which has proved the rationality of the proposed method. Finally, the effects of pile-soil stiffness ratio, compression modulus and internal friction angle of embankment fill on pile-soil stress ratio and deformation of geocell-reinforced body are studied through parameter analysis.
[1] 周亚梅, 张孟喜, 吴越. 单个土工格室加筋效果的影响因素分析[J]. 上海交通大学学报, 2015, 49(7): 983-987,992. (ZHOU Ya-mei, ZHANG Meng-xi, WU Yue. Factors influencing the behavior of single geocell-reinforced sand[J]. Journal of Shanghai Jiaotong University, 2015, 49(7): 983-987, 992. (in Chinese)) [2] 郑超毅, 张孟喜, 姜圣卫, 等. 高强土工格室加筋砂地基模型试验变形分析[J]. 上海大学学报(自然科学版), 2015, 21(5): 606-616. (ZHENG Chao-yi, ZHANG Meng-xi, JIANG Sheng-wei, et al.Deformation analysis of model test of sand foundation reinforced with high strength geocell[J]. Journal of Shanghai University (Natural Science Edition), 2015, 21(5): 606-616. (in Chinese)) [3] 高昂, 张孟喜, 刘芳, 等. 分级循环荷载下土工格室加筋路堤模型试验研究[J]. 岩土力学, 2016, 37(8): 2213-2221. (GAO Ang, ZHANG Meng-xi, LIU Fang, et al.Model experimental study of embankment reinforced with geocells under stepped cyclic loading[J]. Rock and Soil Mechanics, 2016, 37(8): 2213-2221. (in Chinese)) [4] 邓鹏, 郭林, 蔡袁强, 等. 考虑填料-土工格室相互作用的加筋路堤力学响应研究[J]. 岩石力学与工程学报, 2015, 34(3): 621-630. (DENG Peng, GUO Lin, CAI Yuan-qiang, et al.Mechanical behavior of reinforced embankment considering interaction between gravel and geocell[J]. Journal of Rock Mechanics and Engineering, 2015, 34(3): 621-630. (in Chinese)) [5] 孙州, 张孟喜, 姜圣卫. 条形荷载下土工格室加筋砂土路堤模型试验研究[J]. 岩土工程学报, 2015, 37(增刊2): 170-175. (SUN Zhou, ZHANG Meng-xi, JIANG Sheng-wei.Model tests on sand embankment reinforced with geocell subjected to strip loading[J]. Chinese Journal of Geotechnical Engineering, 2015, 37(S2): 170-175. (in Chinese)) [6] 侯娟, 张孟喜, 韩晓, 等. 单个高强土工格室作用机理的有限元分析[J]. 岩土工程学报, 2015, 37(增刊1): 26-30. (HOU Juan, ZHANG Meng-xi, HAN Xiao, et al.Mechanism of a high-strength geocell using FEM[J]. Chinese Journal of Geotechnical Engineering, 2015, 37(S1): 26-30. (in Chinese)) [7] 汪海年, 张然, 周俊, 等. 基于离散-连续耦合方法的土工格室加筋碎石承载能力数值模拟[J]. 郑州大学学报(工学版), 2016, 37(1): 49-53. (WANG Hai-nian, ZHANG Ran, ZHOU Jun, et al.Numerical simulation of the bearing capacity for geocell reinforced gravel based on discrete-continuous coupling calculation[J]. Journal of Zhengzhou University (Engineering Edition), 2016, 37(1): 49-53. (in Chinese)) [8] 张福海, 俞仲泉. 平面应变条件下土工格室加筋垫层的变形分析[J]. 岩土力学, 2005, 26(增刊): 241-243. (ZHANG Fu-hai, YU Zhong-quan Analysis of deformation of geocell reinforced mat under plane strain condition[J]. Rock and Soil Mechanics 2005, 26(S0): 241-243.(in Chinese)) [9] ZHANG L, ZHAO M, ZOU X, et al.Deformation analysis of geocell reinforcement using Winkler model[J]. Computers & Geotechnics, 2009, 36(6): 977-983. [10] 陈仁朋, 徐正中, 陈云敏. 桩承式加筋路堤关键问题研究[J]. 中国公路学报, 2007, 20(2): 7-12. (CHEN Ren-peng, XU Zheng-zhong, CHEN Yun-min.Research on key problems of pile-supported reinforced embankment[J]. China Highway Journal, 2007, 20(2): 7-12. (in Chinese)) [11] ZHANG L, ZHAO M, ZOU X, et al.Analysis of geocell-reinforced mattress with consideration of horizontal-vertical coupling[J]. Computers & Geotechnics, 2010, 37(6): 748-756. [12] ZHANG L, ZHAO M, SHI C, et al.Nonlinear analysis of a geocell mattress on an elastic-plastic foundation[J]. Computers & Geotechnics, 2012, 42(3): 204-211. [13] ZHANG L, ZHAO M, HU Y, et al.Semi-analytical solutions for geosynthetic-reinforced and pile-supported embankment[J]. Computers & Geotechnics, 2012, 44(44): 167-175. [14] 赵明华, 张玲, 马缤辉, 等. 考虑水平摩阻力的Winkler地基有限长梁非线性受力分析[J]. 土木工程学报, 2009(7): 106-112. (ZHAO Ming-hua, ZHANG Ling, MA Bin-hui, et al.Nonlinear analysis of finite-length beams on Winkler foundation with horizontal resistance[J]. Journal of Civil Engineering, 2009(7): 106-112. (in Chinese)) [15] 赵明华, 张玲, 马缤辉, 等. 考虑水平摩阻效应的土工格室加筋体受力分析[J]. 工程力学, 2010, 27(3): 38-44. (ZHAO Ming-hua, ZHANG Ling, MA Bin-hui, et al.Force analasis of geocell reinforcement with consideration of horizontal resistance effect[J]. Engineering Mechanics, 2010, 27(3): 38-44. (in Chinese)) [16] 赵明华, 马缤辉, 张玲. 考虑水平摩阻力的弹性地基有限长梁分步计算方法[J]. 工程力学, 2009, 26(9): 16-23. (ZHAO Ming-hua, MA Bin-hui, ZHANG Ling.Fractional-step calculation method for finite length elastic foundation beam considering the effect of horizontal frictional resistance[J]. Engineering Mechanics 2009, 26(9): 16-23. (in Chinese)) [17] 马缤辉, 赵明华, 张玲, 等. 基于能量原理的弹性地基梁底面摩阻效应分析[J]. 铁道学报, 2012, 34(4): 94-100. (MA Bin-hui, ZHAO Ming-hua, ZHANG Ling, et al.Analysis on underside friction effect of beam on elastic foundation based on energy principle[J]. Journal of Railway, 2012, 34(4): 94-100. (in Chinese)) [18] 饶为国, 赵成刚. 桩-网复合地基应力比分析与计算[J]. 土木工程学报, 2002, 35(2): 74-80. (RAO Wei-guo, ZHAO Cheng-gang.The behaviour of pile-net composite foundation[J]. Journal of Civil Engineering, 2002, 35(2): 74-80. (in Chinese)) [19] 饶为国, 江辉煌, 侯庆华. 桩-网复合地基工后沉降的薄板理论解[J]. 水利学报, 2002, 51(4): 23-27. (RAO Wei-guo, JIANG Hui-huang, HOU Qing-hua.Deformation of sheet plate due to residual settlement of pile-net composite foundation[J]. Journal of Hydraulic Engineering, 2002, 51(4): 23-27. (in Chinese)) [20] 饶为国, 杜文锋, 罗卫东. 三点法推算桩-网复合路基工后沉降量[J]. 公路, 2001, 45(6): 92-94. (RAO Wei-guo, DU Wen-feng, LUO Wei-dong, et al.Three point calculation method of residual settlement about pile-net composite foundation[J]. Highway, 2001, 45(6): 92-94. (in Chinese)) [21] 谭慧明, 刘汉龙. 桩承加筋路堤中路堤与褥热层共同作用理论分析[J]. 岩土力学, 2008, 29(8): 2271-2276. (TAN Hui-ming,, LIU Han-long.Theoretical analysis of combined action of cushion and embankment fills in pile-supported embankment[J]. Rock and Soil Mechanics, 2008, 29(8): 2271-2276. (in Chinese)) [22] 张军, 郑俊杰, 马强. 路堤荷载下双向增强体复合地基受力机理分析[J]. 岩土工程学报, 2010, 32(9): 1392-1398. (ZHANG Jun, ZHENG Jun-jie, MA Qiang.Mechanical performance of biaxial reinforcement composite foundation under embankment loads[J]. Journal of Geotechnical Engineering, 2010, 32(9): 1392-1398. (in Chinese)) [23] 郑俊杰, 张军, 马强, 等. 双向增强体复合地基桩土应力比三维分析[J]. 华中科技大学学报(自然科学版), 2010, 38(2): 83-87. (ZHENG Jun-jie, ZHANG Jun, MA Qiang, et al.Three dimensional analysis of pile-earth stress ratio of biaxial reinforcement composite foundation[J]. Journal of Huazhong University of Science and Technology (Natural Science Edition) 2010, 38(2): 83-87. (in Chinese)) [24] 赵明华, 刘猛, 龙军, 等. 双向增强复合地基土工格室加筋体变形分析[J]. 中国公路学报, 2014, 27(5): 97-104, 124.(ZHAO Ming-hua, LIU Meng, LONG Jun, et al. Deformation analysis of geocell reinforcement in bidirectional reinforced composite foundation[J]. China highway Journal, 2014, 27(5): 97-104, 124. (in Chinese)) [25] 陈昌富, 周志军. 双向增强体复合地基桩土应力比分析[J].岩土力学, 2009, 30(9): 2660-2666. (CHEN Chang-fu, ZHOU Zhi-jun.Analysis of pile-soil stress ratio for double reinforced composite ground[J]. Rock and Soil Mechanics, 2009, 30(9): 2660-2666. (in Chinese)) [26] 刘炜, 汪益敏, 陈页开, 等. 土工格栅与土工格室加筋土的大型直剪试验和邓肯-张模型参数研究[J]. 勘察科学技术, 2007, 3(3): 9-12. (LIU Wei, WANG Yi-min, CHEN Ye-kai, et al.Research on large size direct shear test between geogrid and geocell reinforced soil and parameters of Duncan-Chang model[J]. Survey Science and Technology, 2007, 3(3): 9-12. (in Chinese)) [27] 马缤辉. 土工格室+碎石桩双向增强复合地基承载特性及沉降计算研究[D]. 长沙: 湖南大学, 2012: 64-69. (MA Bin-hui.The Research on Bearing Characteristic and Settlement of Composite Foundation Bidirectionally Reinforced by Stone Column and Geocell[D]. Changsha: Hunan University, 2012: 64-69. (in Chinese)) [28] 杨明辉, 邓岳宝, 赵明华. 基于叠梁试验的土工格室垫层刚度确定方法研究[J]. 土木工程学报, 2011, 44(1): 87-92. (YANG Ming-hui, DENG Yue-bao, ZHAO Ming-hua.Study of stiffness test method of geocell cushion based on superposed beam theory[J]. Journal of Civil Engineering, 2011, 44(1): 87-92. (in Chinese))
