A similarity solution for undrained expansion of a cylindrical cavity in K₀-consolidated anisotropic soils

IF 2.5 3区 工程技术 Q2 ENGINEERING, CIVIL
You-Quan Wang, Lin Li, Jingpei Li
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引用次数: 1

Abstract

A rigorous and generic similarity solution is developed for assessment of the undrained expansion responses of a cylindrical cavity expansion in K₀-consolidated anisotropic soils. A K₀-consolidated anisotropic modified Cam-clay (K₀-AMCC) model that can represent the initial stress anisotropy and the effects of stress-induced anisotropy is used to model the soil behaviors during cavity expansion. All the seven basic unknowns, the three stress components, the pore water pressure, the particle velocity, the specific volume and the hardening parameter, are reduced to the functions of a dimensionless radial coordinate and are taken as coupled variables to formulate the problem. The governing equations are formulated by making use of the equilibrium equation, the constitutive equation, the consistency condition, the continuity condition and the undrained condition, which are then solved as an initial value problem. The proposed rigorous similarity solution is compared with some well-documented rigorous solutions to validate the solution and to highlight the special expansion responses in anisotropic soils. The results reveal that the present solution can yield more predictions for cavity expansion problems in soils with initial anisotropic stresses.
K 0固结各向异性土体圆柱形空洞不排水膨胀的相似解
建立了一个严格的通用相似解,用于评估K 0固结各向异性土中圆柱形空洞膨胀的不排水膨胀响应。采用K 0 -固结各向异性修正Cam-clay (K 0 -AMCC)模型,该模型可以表征初始应力各向异性和应力诱导各向异性的影响,用于模拟孔洞膨胀过程中土体的行为。将孔隙水压力、颗粒速度、比容和硬化参数这7个基本未知量简化为一个无量纲径向坐标的函数,并作为耦合变量来表述问题。利用平衡方程、本构方程、一致性条件、连续性条件和不排水条件,建立了控制方程,并将其作为初值问题求解。将所提出的严格相似解与已有的严格相似解进行了比较,以验证该解的正确性,并突出了各向异性土壤中特殊的膨胀响应。结果表明,该解法能较好地预测具有初始各向异性应力的土体中的孔洞膨胀问题。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Geomechanics and Engineering
Geomechanics and Engineering ENGINEERING, CIVIL-ENGINEERING, GEOLOGICAL
CiteScore
5.20
自引率
25.00%
发文量
0
审稿时长
>12 weeks
期刊介绍: The Geomechanics and Engineering aims at opening an easy access to the valuable source of information and providing an excellent publication channel for the global community of researchers in the geomechanics and its applications. Typical subjects covered by the journal include: - Analytical, computational, and experimental multiscale and interaction mechanics- Computational and Theoretical Geomechnics- Foundations- Tunneling- Earth Structures- Site Characterization- Soil-Structure Interactions
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