A similarity solution for spherical cavity drained expansion in overconsolidated soils considering large deformation

IF 2.5 3区 工程技术 Q2 ENGINEERING, CIVIL Geomechanics and Engineering Pub Date : 2021-01-01 DOI:10.12989/GAE.2021.26.5.427
Hanbo Zheng, Hao Zhang, F. Liang
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Abstract

This paper presents a novel similarity solution for drained spherical cavity expansion in overconsolidated soils, which creatively incorporates the large strain into similarity solution. The salient feature of the present solution lies in that it properly represents the large deformation associated responses of the overconsolidated soil during cavity expansion. The logarithmic strain components are reasonably incorporated into the similarity solution, which is a general solution technique that has been widely used to solve cavity expansion problems, to creatively account for the large deformation of soils during cavity expansion in such a solution framework. The competent modified unified-hardening (UH) model is employed to properly represent the unique behavior of overconsolidated soils during expansion, where three-dimensional strength characteristics of the soil are taken into account as well. The partial differential governing equations under Eulerian description are transformed into a set of first order ordinary differential equations under Lagrangian description and further solved as an initial value problem by MATLAB. The present method is verified by comparing with the modified Cam-clay model based solutions and an extensive parameter analysis is subsequently conducted for soils with different overconsolidation ratio. The unique expansion behaviors in the overconsolidated soils including the peak strength behavior, strain-hardening/softening and shear dilatancy behaviors are discussed in a comprehensive and in-depth manner.
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考虑大变形的超固结土球形孔洞排水膨胀的相似解
本文提出了一种新的超固结土排水球孔扩展相似解,创造性地将大应变纳入相似解中。该解的显著特点在于能较好地反映超固结土在洞室膨胀过程中的大变形相关响应。将对数应变分量合理地纳入到相似解中,这是一种广泛用于解决洞室扩展问题的通解技术,创造性地解释了在这种解框架下,洞室扩展过程中土体的大变形。在考虑了超固结土三维强度特性的基础上,采用了修正统一硬化(UH)模型,较好地反映了超固结土在膨胀过程中的独特行为。将欧拉描述下的偏微分控制方程转化为一组拉格朗日描述下的一阶常微分方程,并用MATLAB作为初值问题求解。通过与基于修正Cam-clay模型的解的比较,验证了本文方法的正确性,并对不同超固结比的土体进行了广泛的参数分析。对超固结土的峰值强度特性、应变硬化/软化特性和剪切剪胀特性等独特的膨胀特性进行了全面深入的讨论。
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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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