地下连续墙施工周边土体水平应力和位移的解析解  

Analytical Solution for Horizontal Stress and Displacement Distribution Due to Diaphragm Wall Construction

作　　者：裴尧尧[1,2] 夏元友[2] 周正楹 王智德[2] 周雄[2] 

机构地区：[1]湖北工业大学土木工程与建筑学院,武汉430010 [2]武汉理工大学土木工程与建筑学院,武汉430070

出　　处：《武汉理工大学学报》2014年第9期102-108,共7页Journal of Wuhan University of Technology

摘　　要：将复变弹性理论应用于地下连续墙施工过程周边土体水平应力和位移求解。首先通过有限差分数值模型对比计算,讨论了将泥浆护壁作用下地下连续墙成槽开挖三维问题简化为平面应力问题求解周边土体水平应力和位移的可行性,在此基础上通过保角映射将矩形槽以外的无限区域映射到单位圆域,利用复变弹性理论推导了地下连续墙施工过程中周边土体水平应力和位移的求解公式。与数值解的对比验证了推导出解析解的精确性,并进行了参数学习,得出了槽面中心点最大水平位移的计算简式。最后将其应用于实例分析,验证了解析解的实用价值。An analytical solution for soil horizontal stress and displacement around the panel due to diaphragm wall construction was derived based on the complex variables theory. The 2-D plane stress assumption was verified to be effective by comparing calculated results from 3-D excavation model. Base on the plane stress assumption, a conformal transformation function, which maps the area outside a rectangular hole onto the region inside a unit circle, was derived and used to obtain a horizontal stress and displacement solution. The solution was verified by comparing the numerical results. By performing a parametric study, the sim- plified formula of the central was reached. Finally, the solution is testified in practice .

关 键 词：地下连续墙施工 复变弹性理论 保角映射函数 水平应力和位移 

分 类 号：TU9[建筑科学]