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刚性挡墙绕底转动时的非极限主动土压力数值解北大核心CSCD
引用本文:马明,李明东,郎钞棚,张京伍,万愉快.刚性挡墙绕底转动时的非极限主动土压力数值解北大核心CSCD[J].应用数学和力学,2022,43(3):312-321.
作者姓名:马明  李明东  郎钞棚  张京伍  万愉快
作者单位:1.东华理工大学 土木与建筑工程学院,南昌 330013
基金项目:国家自然科学基金(51869001);
摘    要:刚性挡土墙在下部受限时往往呈现绕墙底转动的位移模式,该模式下不同深度土体所处非极限状态不同,给土压力计算带来了困难.在已有研究基础上,推导了适用于绕墙底转动模式下土体强度参数与墙体位移的函数关系;假定墙后土体形成圆弧形土拱,滑裂面为不确定的曲面,将墙后土体按小步长水平分层,构建了绕墙底转动模式下非极限主动土压力的数值迭代格式,给出了该模式下非极限主动土压力的数值计算方法.该数值解既能确定墙后滑裂面的形状,又能计算非极限主动土压力的强度、合力及作用点.将数值解与模型试验结果、现有解析解进行了对比,发现墙后滑裂面为一曲面,该解计算结果与模型试验结果的契合度比现有解析解更高.这提供了刚性挡土墙绕底转动时非极限主动土压力的更精确解答,对这类挡土墙设计具有现实指导价值.

关 键 词:土压力  非极限  数值解  滑裂面  土拱
收稿时间:2021-06-29

Numerical Solutions of the Nonlimit-State Active Earth Pressure Under Backfill Wall Rotation Around the Bottom
Ma M.,Li M.,Lang C.,Zhang J.,Wan Y..Numerical Solutions of the Nonlimit-State Active Earth Pressure Under Backfill Wall Rotation Around the Bottom[J].Applied Mathematics and Mechanics,2022,43(3):312-321.
Authors:Ma M  Li M  Lang C  Zhang J  Wan Y
Institution:1.School of Civil & Architecture Engineering, East China University of Technology, Nanchang 330013, P.R.China2.District Housing Management Center of Chongqing Wanzhou, Chongqing 400074, P.R.China3.School of Civil and Hydraulic Engineering, Ningxia University, Yinchuan 750021, P.R.China
Abstract:The displacement pattern of wall footing rotation occurs for the backfill wall constrained at the bottom. The non-limit states of the soil layers at different depths are different in this pattern, and present difficulties for soil stress calculation. Based on the existing research, the functional relationship between soil strength parameters of the wall footing rotation pattern and wall displacements were detruded. Under the assumption that the backfill forms a circular arch and the slip surface is uncertain, the backfill was divided into long horizontal slices, the numerical iteration scheme for the nonlimit-state active earth pressure in the wall footing rotation pattern was constructed, and the numerical calculation method for the active earth pressure was given. The numerical method not only determines the slip surface shape, but calculates the intensity, the resultant force and the action point of the nonlimit-state active earth pressure. The backfill slip surface is a curved one and the new numerical solution is more consistent with the existing full-scale test results than the existing analytical results. This work provides more accurate numerical solutions of the nonlimit-state active earth pressure on the rigid retaining wall in the footing rotation pattern, and makes a practical guide to design of such retaining walls.
Keywords:Earth pressure  Non-limit  Numerical solution  Slip surface  Soil arch
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