Abstract：Based on the improved minimum potential energy algorithm, a new method for the stability analysis of horizontal-vertical (H-V) ribs-reinforced slopes is proposed. In this method, the frictional potential energy of horizontal reinforcement, linear elastic strain energy and deformation potential energy of vertical reinforcement are considered when the potential energy function for the slope-supporting system is established. A potential energy model suitable for the studied slope is established through the shear potential energy of the reinforced slope according to the static equilibrium equation for virtual displacement. The analysis process of the reinforced slope is simplified, and the calculation efficiency is improved by solving the safety factor of the slope with the virtual displacement of the minimum potential energy of the studied slope. By comparing and analyzing the calculated results with those of the published papers, the feasibility of the proposed method is proved. The effect of strength parameters of soils such as cohesive force and internal friction angle on the slope stability is also analyzed, which provides reference for the application and promotion of three-dimensional reinforced slope technology in engineering.
 VIDAL H.The principles of reinforced earth[J]. Highway Research Record. 1969, 28(2): 1-16.  SONG Fei, CHEN Ru-yi, MA Li-qiu, et al.A new method for the stability analysis of geosynthetic-reinforced slopes[J]. Journal of Mountain Science, 2016, 13(11): 2069-2078.  DIPANKANA Bhattacherjee, VISWANADHAM B V S. Effect of geocomposite layers on slope stability under rainfall condition[J]. Indian Geotechnical Journal, 2018, 48(2): 316-326.  EVİRGEN Burak, TUNCAN Mustafa, TUNCAN Ahmet. Modelling study on the geotextile, geogrid and steel strip reinforced slopes[J]. Çukurova Üniversitesi Mühendislik- Mimarlık Fakültesi Dergisi, 2017: 227-240.  张孟喜. 立体加筋土: ZL200520043841.7[P]. 2009-09. (ZHANG Meng-xi.Three-dimensional reinforced soil: ZL200520043841.7[P]. 2009-09. (in Chinese))  张孟喜, 张石磊. H-V加筋土性状的颗粒流细观模拟[J]. 岩土工程学报, 2008, 30(5): 626-631. (ZHANG Meng-xi, ZHANG Shi-lei.Meso-simulation of particle flow characteristics of H-V reinforced soil[J]. Chinese Journal of Geotechnical Engineering, 2008, 30(5): 626-631. (in Chinese))  SONG Fei, CHEN Ru-yi, MA Li-qiu, et al.A new method for the stability analysis of geosynthetic-reinforced slopes[J]. Journal of Mountain Science, 2016, 13(11): 2069-2078.  孙加平. 改进最小势能边坡稳定性分析方法及程序开发[D].南昌: 江西理工大学, 2016. (SUN Jia-ping.Analysis Method and Procedure Developing of Slope Stability Based on Improved Minimum Potential Energy[D]. Nanchang: Jiangxi University of Technology, 2016. (in Chinese))  SONG Fei, CHEN Ru-yi.Stability analysis of reinforced slope based on limit equilibrium method[J]. Tehnicki Vjesnick- Technical Gazette, 2018, 25(1): 224-229.  邹冶来. 土工格栅加筋边坡的最小势能稳定性分析方法程序开发[D]. 南昌: 江西理工大学, 2019. (ZOU Ye-lai.Analysis Method and Program Development of Minimum Potential Energy Stability of Geogrid-Reinforced Slope[D]. Nanchang: Jiangxi University of Science and Technology, 2019. (in Chinese))  李铀, 陆洋. 锚杆(索)加固边坡的最小势能稳定分析方法研究[J]. 岩土力学, 2008, 29(9): 2330-2334. (LI You, LU Yang.Research on stability analysis method of minimum potential energy of slope reinforced by anchor (cable)[J]. Rock and Soil Mechanics: 2008, 29(9): 2330-2334. (in Chinese))  孙加平, 顾厚煜. 锚杆作用下边坡稳定性分析中改进最小势能法研究[J]. 岩土力学, 2017, 38(1): 292-298. (SUN Jia-ping, GU Hou-yu.An improved minimum potential energy method for slope stability analysis under the action of bolt[J]. Rock and Soil Mechanics, 2017, 38(1): 292-298. (in Chinese))  温树杰, 宋亮亮, 梁超, 等. 考虑桩体变形的最小势能边坡稳定性分析方法[J]. 工业建筑, 2017, 47(6): 90-94. (WEN Shu-jie, SONG Liang-liang, LIANG Chao, et al.Analysis method of slope stability with minimum potential energy considering pile deformation[J]. Industrial Construction, 2017, 47(6): 90-94. (in Chinese))  张孟喜, 张石磊. H-V加筋路堤稳定性分析及机理研究[D]. 上海: 上海大学, 2010. (ZHANG Meng-xi, ZHANG Shi-lei.The Investigation on Stability and Mechanism of Embankment Reinforced with H-V inclusions[D]. Shanghai: Shanghai University: 2010. (in Chinese))  马学宁, 吴培元, 王旭, 等. 加筋土边坡稳定性分析水平条分简化计算方法[J]. 铁道学报, 2017, 39(9): 156-160. (MA Xue-ning, WU Pei-yuan, WANG Xu, et al.Simplified calculation methods of the horizontal slice for the stability analysis of reinforced soil slope[J]. Journal of the China Railway Society, 2017, 39(9): 156-160. (in Chinese))  刘动, 陈晓平, 常学宁. 基于筋-土界面摩擦特性的加筋边坡分析[J]. 岩土工程学报, 2013, 35(增刊2): 217-223. (LIU Dong, CHEN Xiao-ping, CHANG Xue-ning.Analysis of reinforced slope based on interface properties of geosynthetics and soil[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(S2): 217-223. (in Chinese))