Loading and unloading of a thick-walled cylinder of critical-state soils: large strain analysis with applications

Zhuang, Pei‐Zhi; Yu, Hai‐Sui; Mooney, Sacha J.; Mo, Pin‐Qiang

doi:10.1007/s11440-020-00994-w

Cited by 12 publications

(5 citation statements)

References 55 publications

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“…According to the data of experimental tests by Yang et al [ 18 ], the soil parameters of FSW were reasonably set as: E 1 = 300 MPa, ν 1 = 0.2, ϕ 1 = ψ 1 = 8°, C 1 = 3.5 MPa; the elastic parameters of the surrounding soil were then selected as E 2 = 100 MPa and ν 2 = 0.2. The calculation is focused on the shaft at a depth of 500 m, which has a mean stress condition of P 0 = 6.5 MPa (after Yang et al [ 21 ]).…”

Section: Resultsmentioning

confidence: 99%

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An elastic-plastic solution for the optimal thickness of a frozen soil wall considering an interaction with the surrounding rock

Kuang

Wang

et al. 2022

PLoS ONE

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The technology of artificial ground freezing has been widely applied in geotechnical engineering to support underground spaces, whereas the effects of excavation-induced large deformation and frictional and dilatant behavior of geomaterials are neglected in the current design. In this paper, a rigorous elastic-plastic solution of cavity contraction is proposed using a non-associated Mohr-Coulomb failure criterion to provide the optimal thickness of the frozen soil wall for excavation using artificial ground freezing technology, considering an interaction between the frozen soil wall and the surrounding soil/rock. After validation of a case study on a deep mine shaft against a numerical simulation, a thorough parametric study investigates the variation in the optimal thickness with the soil properties and initial stress conditions, as well as the effects of interaction and the critical condition. Compared to the existing solution, the proposed optimal thickness of the frozen soil wall is shown to contribute to both the design and cost-effectiveness in practical engineering, including tunneling and mine shaft construction.

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Section: Resultsmentioning

confidence: 99%

“…The prediction of underground excavation-induced ground settlements has been developed by removing the initial stress of the cavity (i.e. cavity contraction), which contributes to the design of support systems to maintain stability and serviceability [ 11 , 15 – 18 ].…”

Section: Introductionmentioning

confidence: 99%

An elastic-plastic solution for the optimal thickness of a frozen soil wall considering an interaction with the surrounding rock

Kuang

Wang

et al. 2022

PLoS ONE

Self Cite

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“…Very often GRC is predicted by the elastoplastic cavity contraction theory that studies the development of stresses and displacement around a contracting cylindrical cavity (Yu 2000). For example, a number of cavity contraction solutions were available for soils and rocks with various constitutive models, such as the Mohr-Coulomb model (Yu and Rowe 1999;Carranza-Torres 2003;Vrakas and Anagnostou 2014), Hoek-Brown failure criteria (Brown et al 1983;Zareifard 2020;Guan et al 2022;Cai et al 2023), strain hardening/softening Drucker-Prager model (Chen et al 2012;Chen and Abousleiman 2017), and critical state (Cam Clay) models (Yu and Rowe 1999; Chen and Abousleiman 2016; Mo and Yu 2017;Zhuang et al 2020). Also, some cavity contraction solutions were developed to investigate the influence of soil anisotropy (Chen H et al 2022), ground surface (Zhuang et al 2022), non-hydrostatic in-situ stress field (Ma et al 2023), seepage pressure (Sun et al 2023;Zhao et al 2023), and plane stress conditions (Yang et al 2022) on the characteristics of GRCs.…”

Section: Introductionmentioning

confidence: 99%

Elastoplastic solution for cylindrical cavity contraction in unsaturated soils

Zhang,

Sun,

Zhuang

et al. 2024

Géotechnique Letters

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This letter develops an elastoplastic solution for cylindrical cavity contraction in unsaturated soils under constant suction conditions. The elastoplastic cavity contraction problem is formulated into a set of first-order ordinary differential equations (ODEs) by introducing a new auxiliary variable, which is solved as an initial value problem. The new solution is validated by comparison with numerical simulation results. Finally, parametric studies show that, as soil suction increases, the internal support pressure decreases faster with cavity contraction, the unloading-induced plastic zone becomes narrower, and the changes in effective stresses are smaller for a given tunnel convergence.

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“…Since then, a large number of scholars have continuously enriched and developed this theory and applied it to solve practical problems. In the field of geotechnical engineering, the research directions of cavity expansion theory include: theoretical research [1][2][3][4][5][6][7][8][9][11][12][13]15 ; numerical simulation and soil test [16][17][18][19] ; engineering application [20][21][22][23] ; and others.…”

Section: Introductionmentioning

confidence: 99%

Large‐strain analysis for cylindrical cavity contraction in strain‐softening geomaterials

Wang

Sheng

2022

Num Anal Meth Geomechanics

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This study presents a large‐strain analysis for cylindrical cavity unloading–contraction problem in strain‐softening geomaterials. Based on the unified strength theory (UST) and non‐associated flow rule, the process of cavity contraction in cohesive‐frictional geomaterials is regarded as a large‐strain problem by introducing the UST parameters and the volumetric force of seepage into the conventional cylindrical cavity contraction analysis, the effects of strain‐softening characteristic, intermediate principal stress, large‐strain, and seepage are considered. Finally, according to the comparison of the results of the radius ratio with those in the published literature, the correctness and reliability of the theoretical method are proved. The results show that it is necessary to consider the effect of volume force of seepage in the stability of excavation problem in geomaterial, the larger the volume force of seepage, the smaller the plastic radius. The traditional two‐dimensional cavity contraction solution overestimates the plastic radius. The results provide a theoretical basis for the elasto‐plastic analysis of excavation in rich water geomaterial and have a certain reference value for engineering design.

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Loading and unloading of a thick-walled cylinder of critical-state soils: large strain analysis with applications

Cited by 12 publications

References 55 publications

An elastic-plastic solution for the optimal thickness of a frozen soil wall considering an interaction with the surrounding rock

An elastic-plastic solution for the optimal thickness of a frozen soil wall considering an interaction with the surrounding rock

Elastoplastic solution for cylindrical cavity contraction in unsaturated soils

Large‐strain analysis for cylindrical cavity contraction in strain‐softening geomaterials

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