Gao Guihai, Chen Jianxu, Qian Bo, Xiong Mei
School of Civil and Hydraulic Engineering, Xichang University, Xichang, Sichuan, China.
PLoS One. 2025 Jun 24;20(6):e0326147. doi: 10.1371/journal.pone.0326147. eCollection 2025.
The existing theory can not get the unified solution of non-limit active and passive earth pressure with clear mechanical concept. Based on Duncan-Chang stress-strain model, this paper puts forward a relationship between friction angle and wall displacement ratio, which can consider both non-limit active state and non-limit passive state. According to the horizontal layer analysis method, the unified solution of non-limit active and passive earth pressure of retaining wall can be derived, which can be reduced to Rankine solution. The feasibility of the formula is verified by comparing the research results of this paper with the existing theoretical and experimental values. It is found that in the process of changing from non-limit passive state to non-limit active state, the thrust of wall gradually decreases nonlinearly, and the position of the acting point of resultant force gradually increases nonlinearly, and both the change ranges are positively correlated with the internal friction angle. The theoretical formula mechanics in this paper has clear concept and convenient application, which has certain reference significance for engineers.
现有的理论无法得到具有清晰力学概念的非极限主动和被动土压力的统一解。基于邓肯-张应力应变模型,本文提出了摩擦角与墙位移比之间的关系,该关系可以同时考虑非极限主动状态和非极限被动状态。根据水平层分析方法,可以推导挡土墙非极限主动和被动土压力的统一解,该解可简化为朗肯解。通过将本文的研究结果与现有的理论和实验值进行比较,验证了公式的可行性。研究发现,在从非极限被动状态转变为非极限主动状态的过程中,墙的推力逐渐非线性减小,合力作用点的位置逐渐非线性增加,且两者的变化范围均与内摩擦角呈正相关。本文的理论公式力学概念清晰,应用方便,对工程师具有一定的参考意义。