|
|
|
| Analysis of earth pressure on retaining walls with limited displacement based on elastic theory |
| DANG Faning,ZHANG Le,WANG Xu,DING Jiulong,GAO Jun |
| (State Key Laboratory of Eco-hydraulics in Northwest Arid Region,Xi¢an University of Technology,Xi¢an,shaanxi 710048,China) |
|
|
|
|
Abstract The classical earth pressure theories were established by studying the stress state in an elastic half-space body based on the limit equilibrium condition of soil and the static equilibrium of the wedge. Due to the creep and consolidation characteristics of soil,the active and passive earth pressures have time-dependent features. From a long-term perspective,the earth pressure acting on retaining walls due to the creep and consolidation of soil is under non-limit equilibrium conditions(limited displacement). A calculation formula for calculating the earth pressure acting on the retaining wall under limited displacement is established in this study based on the linear elastic constitution theory. The tangent modulus in Duncan-Chang nonlinear elastic model is introduced to reflect the change of soil modulus with confining pressure,and the boundary strains of Rankine active earth pressure,earth pressure at rest,principal stress direction deflection and Rankine passive earth pressure are derived. According to the four boundary strains,the earth pressure acting on the retaining wall is divided into five state zones as active failure state zone,active earth pressure state zone with limited displacement,passive earth pressure state zone with limited displacement before principal stress deflection,passive earth pressure state zone with limited displacement after principal stress deflection and passive failure state zone. By comparing and analyzing the calculation results by the proposed formula with the model test results,it is concluded that the earth pressure distribution of the wall is always non-linear when the retaining wall moves in a mode of translation displacement (T mode),rotation displacement around the wall base(RB mode) or translation + rotation displacement around the wall base(RBT mode),and that the calculated values of the earth pressure along the wall depth under different displacements are basically consistent with the measured values,which indicates that the proposed can be well applied to the design of retaining walls in practical engineering.
|
|
|
|
|
|
[1] FANG Y S,ISHIBASHI I. Static earth pressures with various wall movements[J]. Journal of Geotechnical Engineering,1986,112(3):317–333.
[2] 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.
[3] RAO P P,CHEN Q S,ZHOU Y T,et al. Determination of active earth pressure on rigid retaining wall considering arching effect in cohesive backfill soil[J]. International Journal of Geomechanics,2016,16(3):04015082–1–04015082–9.
[4] NADUKURU S S,MICHALOWSKI R L. Arching in distribution of active load on retaining walls[J]. Journal of Geotechnical and Geoenvironmental Engineering,2012,138(5):575–584.
[5] TANG Y,LI J P,MA Y. Lateral earth pressure considering the displacement of a rigid retaining wall[J]. International Journal of Geomechanics,2018,18(11):06018031–1–06018031–12.
[6] 龚 慈. 不同位移模式下刚性挡土墙土压力计算方法研究[硕士学位论文][D]. 浙江:浙江大学,2005.(GONG Ci. Earth pressure against rigid retaining wall of different movement modes[M. S. Thesis][D]. Zhejiang:Zhejiang University,2005.(in Chinese))
[7] 梅国雄,宰金珉. 考虑位移影响的土压力近似计算方法[J]. 岩土力学,2001,22(4):83–85.(MEI Guoxiong,ZAI Jinmin. Earth pressure calculating method considering displacement[J]. Rock and Soil Mechanics,2001,22(4):83–85.(in Chinese))
[8] 施建勇,雷国辉,艾英钵,等. 土压力变化规律的应力路径三轴试验研究[J]. 岩土力学,2005,26(11):1 700–1 704.(SHI Jianyong,LEI Guohui,AI Yingbo,et al. Stress path controlled triaxial experimental study of lateral earth pressure behavior[J]. Rock and Soil Mechanics,2005,26(11):1 700–1 704.(in Chinese))
[9] 马 平,秦四清,钱海涛. 有限土体主动土压力计算[J]. 岩石力学与工程学报,2008,27(增1):3 070–3 074.(MA Ping,QIN Siqing,QIAN Haitao. Calculation of active earth pressure for limited soils[J]. Chinese Journal of Rock Mechanics and Engineering,2008,27(Supp.1):3 070–3 074.(in Chinese))
[10] 林智勇,戴自航,苏美选. 复杂条件下挡土墙主动土压力解析解[J]. 岩土工程学报,2008,30(4):556–560.(LIN Zhiyong,DAI Zihang,SU Meixuan. Analytical solution of active earth pressure acting on retaining walls under complicated conditions[J]. Chinese Journal of Geotechnical Engineering,2008,30(4):556–560.(in Chinese))
[11] 卢坤林,杨 扬. 非极限主动土压力计算方法初探[J]. 岩土力学,2010,31(2):615–619.(LU Kunlin,YANG Yang. Preliminary study of active earth pressure under nonlimit state[J]. Rock and Soil Mechanics,2010,31(2):615–619.(in Chinese))
[12] 张永兴,陈 林. 挡土墙非极限状态主动土压力分布[J]. 土木工程学报,2011,44(4):112–119.(ZHANG Yongxing,CHEN Lin. Active earth pressure on retaining walls in non-limit state[J]. China Civil Engineering Journal,2011,44(4):112–119.(in Chinese))
[13] 徐日庆,廖 斌,吴 渐,等. 黏性土的非极限主动土压力计算方法研究[J]. 岩土力学,2013,34(1):148–154.(XU Riqing,LIAO Bin,WU Jian,et al. Computational method for active earth pressure of cohesive soil under nonlimit state[J]. Rock and Soil Mechanics,2013,34(1):148–154.(in Chinese))
[14] 王闫超,晏鄂川,陆文博,等. 无黏性有限土体主动土压力解析解[J]. 岩土力学,2016,37(9):2 513–2 520.(WANG Yanchao,YAN E-chuan,LU Wenbo,et al. Analytical solution of active earth pressure for limited cohesionless soils[J]. Rock and Soil Mechanics,2016,37(9):2 513–2 520.(in Chinese))
[15] 宁 源,马石城. 有限黏性土体主动土压力计算分析[J]. 建筑结构,2017,47(增1):1 161–1 165.(NI Yuan,MA Shicheng. Calculation of active earth pressure for limited cohesive soil[J]. Building Structure,2017,47(Supp.1):1 161–1 165.(in Chinese))
[16] 杨明辉,戴夏斌,赵明华,等. 曲线滑裂面下有限宽度填土主动土压力计算[J]. 岩土力学,2017,38(7):2 029–2 035.(YANG Minghui,DAI Xiabin,ZHAO Minghua,et al. Calculation of active earth pressure for limited soils with curved sliding surface[J]. Rock and Soil Mechanics,2017,38(7):2 029–2 035.(in Chinese))
[17] 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))
[18] 陈奕柏,柯才桐,高洪波,等. 考虑变位影响的刚性挡土墙非极限土压力研究[J]. 岩石力学与工程学报,2015,34(5):1 061–1 070. (CHEN Yibai,KE Caitong,GAO Hongbo,et al. Non-limit state earth pressure against retaining wall considering influence of deformation[J]. Chinese Journal of Rock Mechanics and Engineering,2015,34(5):1 061–1 070.(in Chinese))
[19] TERAZGHI K. Large retaining wall tests I—pressure of dry sand[J]. Engineering News Record,1934,112(1):136–140.
[20] 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))
[21] 路德春,姚仰平,周安楠. 土体平面应变条件下的主应力关系[J]. 岩石力学与工程学报,2006,25(11):2 320–2 326.(LU Dechun,YAO Yangping,ZHOU Annan. Relationship between principal stresses of soil mass under plane strain condition[J]. Chinese Journal of Rock Mechanics and Engineering,2006,25(11):2 320–2 326.(in Chinese)) |
|
|
|