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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。
Application of Complex Elasticity Theory to Solution of Horizontal Stress and Displacement of Soil Around the Construction of Diaphragm Wall. First of all, through contrast calculation of finite difference numerical model, the feasibility of solving three-dimensional problems of slotted excavation of underground continuous wall under the action of mud retaining wall is discussed. The horizontal stress and displacement of surrounding soil are solved by the conformal mapping The infinite region outside the rectangular groove is mapped to the unit circle, and the solution formula of the horizontal stress and displacement of the surrounding soil during the construction of the diaphragm wall is deduced by the theory of complex elasticity. Compared with the numerical solution, the accuracy of the analytical solution is deduced and the parameter learning is carried out. The calculation of the maximum horizontal displacement at the center of the groove is obtained. Finally, it is applied to case analysis to verify the practical value of analytic solution.