A rigorous numerical formulation for upper bound analysis of reinforced soils using second order cone programming

作     者：Yuan, Shuai 

作者机构：Changan Univ Sch Highway Xian 710064 Peoples R China 

出 版 物：《GEOTEXTILES AND GEOMEMBRANES》 (土工用纺织物与土工用膜)

年 卷 期：2021年第49卷第5期

页      面：1294-1311页

核心收录：

学科分类：08[工学] 0708[理学-地球物理学] 0818[工学-地质资源与地质工程] 081304[工学-建筑技术科学] 0805[工学-材料科学与工程（可授工学、理学学位）] 080502[工学-材料学] 0813[工学-建筑学] 

基　　金：National Natural Science Foundation of China Fundamental Research Funds for the Central Universities Natural Science Basic Research Plan in Shaanxi Province of China [2018JQ5098] 

主　　题：Reinforced soil Upper bound limit analysis Second order cone programming 

摘      要：A rigorous upper bound formulation is established for reinforced soils considering both the tensile rupture of the reinforcement and the relative slippage of the reinforcement-soil interface. To represent its finite tensile strength and negligible compressive strength, a novel strategy is proposed to calculate the plastic dissipation rate of the reinforcement without the incorporation of stress variables. Plastic dissipation rates of the soil, the reinforcement and their interfaces are obtained using only kinematic variables and all flow rules are expressed in terms of linear constraints and second order cones. The solution domain is then discretized using linear strain elements for the soil and constant strain elements for the reinforcement and the interface. Numerical examples are given to show the accuracy of the present formulation. The effect of design parameters such as the tensile strength, the length and the location of the reinforcement is discussed.