Abstract：To analyze the internal stability of reinforced retaining wall under earthquake loads, according to the characteristics of layered filling, stratified compaction and horizontal layered arrangement of reinforcement strip, by selecting the logarithmic spiral as the integral slip surface, an analysis method for the internal stability of reinforcement retaining wall under earthquake loads is set up based on the horizontal slice method. The formula for calculating the tensile strength of bar strip and anchorage length are derived. The maximum tensile of bar strip is regarded as the linear programming optimal solution. By using MATALAB software a program is written to obtain the maximum tension of the bar strip and the corresponding most dangerous sliding surface. The proposed method is applied in an engineering example, and the tension value of the bar strip is calculated and compared with that of the finite element ABAQUS software. The rationality of the method is verified, and it is indicated that the proposed method is safe and reliable.
 王钊. 土工合成材料[M]. 北京: 机械工业出版社, 2005. (WANG Zhao.Synthetic geotechnical material[M]. Beijing: Mechanical Industry Press, 2005. (in Chinese))  JTJ015—91公路加筋土工程设计规范[S]. 1991. (JTJ015—91 Code for design of highway reinforced earth engineering[S]. 1991. (in Chinese))  OKABE S.General theory of earth pressure[J]. Journal of Japanese Society of Civil Engineers, 1926, 12(1): 103-114.  LING H I, LESHCHINSKY D.Effects of vertical acceleration on seismic design of geosynthetic reinforced soil structures[J]. Géotechnique, 1998, 47(3): 347-373.  SHAHGHOLI M, FAKHER A, JONES C J F P. Horizontal slice method of analysis[J]. Géotechnique, 2001, 51(10): 881-885.  CHOUDHURY D, SINGH S.New approach for estimation of static and seismic active earth pressure[J]. Geotechnical and Geological Engineering, 2005, 21(4): 121-132.  ZENG X, STEEDMAN R S.On the behavior of quay walls in earthquakes[J]. Geotechnical, 1993, 43(3): 103-112.  EROL GULER, ALI K.Investigation of dynamic behavior of geo-synthetic reinforced soil retaining structures under earthquake load[J]. Bulletin of Earthquake Engineering, 2009, 7(3): 737-777.  MAGDIL M, EI-EMEMAM B J. Experiment design instrumentation and interpretation of reinforced soil wall response of shaking table[J]. Physical Modeling in Geotechnics, 2004, 4(4): 13-32.  NOURI H, FAKHER A, JONES C J F P. Evaluating the effect of magnitude and amplification of pseudo static acceleration on reinforced soil slopes and walls using the limit equilibrium horizontal slices method[J]. Geotextiles and Geomembranes, 2007, 28(3): 350-356.  贾亮, 朱彦鹏, 来春景. 地震作用下加筋挡土墙稳定性分析[J]. 西南交通大学学报, 2016, 51(4): 698-703. (JIA Liang, ZHU Yan-peng, LAI Chun-jing.Stability analysis of reinforced earth retaining wall under earthquake[J]. Journal of Southwest Jiao Tong University, 2016, 51(4): 698-703. (in Chinese))  蒋薇, 苏谦, 张晓曦, 等. 地震作用下加筋土边坡滑裂面的确定方法[J]. 西南交通大学学报, 2015, 50(1): 157-159. (JIANG Wei, SU Qian, ZHANG Xiao-yun, et al.Determination method of slip surface of reinforced soil slope subjected to seismic load[J]. Journal of Southwest Jiao Tong University, 2015, 50(1): 157-159. (in Chinese))  CHUNGSIK YOO, A M ASCE, et al. Case history of deosynthetic reinforced segmental retaining wall failure[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2006, 132(12): 1538-1548.  BATHURST R J, ALLEN T M, WALTERS D L.Reinforcement loads in geo-synthetic walls and the case foe new working stress design method[J]. Geotextiles and Geomembranes, 2005, 23(4): 287-322.  CHOUDHURY D, SINGH S.New approach for estimation of static and seismic active earth pressure[J]. Geotechnical and Geological Engineering, 2005, 21(4): 121-132.  蒋建清, 杨果林. 加筋挡土墙地震稳定性分析的水平条分法[J]. 中国铁道科学, 2009, 30(1): 36-40. (JIANG Jian-qing, YANG Guo-lin.Horizontal slice method for analyzing the stability of the reinforced retaining wall under seismic load[J]. China RailwayScience, 2009, 30(1): 36-40. (in Chinese))