论文标题
在K_0固定的Mohr-Coulomb土壤中，用于未排水圆柱腔扩展的完整图形解决方案
A Complete Graphical Solution for Undrained Cylindrical Cavity Expansion in K_0-Consolidated Mohr-Coulomb Soil
论文作者
论文摘要
This paper develops a general and complete solution for the undrained cylindrical cavity expansion problem in non-associated Mohr-Coulomb soil under non-hydrostatic initial stress field (i.e., arbitrary K_0 values of the earth pressure coefficient), by expanding a unique and efficient graphical solution procedure recently proposed by Chen & Wang in 2022 for the special in situ stress case with K_0 = 1. The new generalized, graph-based theoretical框架包含两个基本组成部分：几何分析，以跟踪偏离平面不同部门的应力路径轨迹/进化；以及构成关系和径向平衡方程式的完整拉格朗日公式，以分析确定腔表面的代表性土壤颗粒响应。有趣的是，对于涉及的所有不同情况，腔膨胀偏斜应力路径始终由一系列分段直线组成。当前一般图形方法的显着优势/特征在于它可以完全封闭形式推断出空腔扩展响应，但是，它不受垂直应力中介质假设的限制以及传统分区方法中存在的难度，该方法涉及累积的，顺序确定不同的Mohr-Coulomb塑料塑料区域。本文开发的分析封闭式溶液可以被视为对经典MOHR-COOLOMB材料中不排水的腔扩张问题的确定性，而没有先前溶液中的近似值和简化，并且对于解释凝聚力造成的土壤中的压力表测试将具有很大的价值。
This paper develops a general and complete solution for the undrained cylindrical cavity expansion problem in non-associated Mohr-Coulomb soil under non-hydrostatic initial stress field (i.e., arbitrary K_0 values of the earth pressure coefficient), by expanding a unique and efficient graphical solution procedure recently proposed by Chen & Wang in 2022 for the special in situ stress case with K_0 = 1. The new generalized, graph-based theoretical framework contains two essential components: the geometrical analysis to track the stress path trajectory/evolution in different sectors of the deviatoric plane; and a full Lagrangian formulation of both the constitutive relationship and radial equilibrium equation to analytically determine the representative soil particle responses at the cavity surface. It is interesting to find that the cavity expansion deviatoric stress path is always composed of a series of piecewise straight lines, for all different case scenarios of K_0 being involved. The salient advantage/feature of the present general graphical approach lies in that it can deduce the cavity expansion responses in full closed form, nevertheless being free of the limitation of the intermediacy assumption for the vertical stress and of the difficulty existing in the traditional zoning method that involves cumbersome, sequential determination of distinct Mohr-Coulomb plastic regions. The analytical closed-form solutions developed herein can be regarded as a definitive one for the undrained cavity expansion problem in classical Mohr-Coulomb materials without the approximations and simplifications in previous solutions, and will be of great value for the interpretation of pressuremeter tests in cohesive-frictional soils.
