基础理论与实验研究

基坑开挖诱发周围土体水平移动的解析解

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  • 1. 同济大学 地下建筑与工程系,上海 200092;2. 同济大学 岩土及地下工程教育部重点实验室,上海 200092
钱建固,男,1972年生,博士,教授,博士生导师,主要从事岩土力学与软土地下工程方面的教学与研究工作。

收稿日期: 2014-12-01

  网络出版日期: 2018-06-09

基金资助

杭州建委科技项目(No.2010391)。

Analytical solution for excavation-induced soil horizontal movement

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  • 1. Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China; 2. Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Tongji University, Shanghai 200092, China

Received date: 2014-12-01

  Online published: 2018-06-09

Supported by

This work was supported by the Foundation of Hangzhou Urban and Rural Construction Committee (2010391).

摘要

基于位移-位移平面应变边值问题,从理论上求解基坑挡墙水平变位诱发墙后周围土体水平移动。通过镜像映射法求得了挡墙平移与绕墙趾转动等两种基本刚性挡墙位移模式下墙后周围土体水平移动的精确理论解;在土体不可压缩的特定条件下,将该理论解与经典的汇-源理论解进行了对比验证。理论分析表明,周围土体水平移动主要取决于挡墙位移模式及位移大小,与地基土的变形模量无关。针对不可压缩土体,对比该精确解与汇-源理论近似解的理论预测发现,两种理论方法求得的周围土体水平移动规律一致,但在挡墙最大变位处相邻范围内,汇-源理论求得的土体水平位移偏小,在挡墙变位较小处相邻范围内,汇-源理论求得的土体水平位移偏大。

本文引用格式

钱建固,周聪睿,顾剑波, . 基坑开挖诱发周围土体水平移动的解析解[J]. 岩土力学, 2016 , 37(12) : 3380 -3387 . DOI: 10.16285/j.rsm.2016.12.005

Abstract

The excavation-induced horizontal movement of soil behind retaining wall is analytically deduced based on displacement-displacement boundary problem under plane strain condition. With respect to two basic modes of wall movement, i.e. translation and rotation about toe, the exact theoretical solutions to horizontal movement of soil behind wall are provided. Specifically for incompressible soil, this theoretical solution has been validated by comparing to the classical Source-Sink theory. It has been indicated that horizontal movement of soil behind retaining wall depends essentially on the mode and magnitude of wall displacement and independent of Young’s modulus of soil. As for incompressible soil, the present theoretical solution may result in well consistent predictions with the classical Source-Sink method. However, Source-Sink method always provides an approximate solution, which tends to underestimate the horizontal movement of soil around the deep position with maximum wall displacement, and overestimate that of soil around the deep position with minimum wall displacement.
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