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

Kuang, Lianfei; Mo, Pin‐Qiang; Wang, Kuanjun; Chen, Bin

doi:10.1371/journal.pone.0267014

Cited by 2 publications

(1 citation statement)

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“…It should be noted that, in this paper, plastic zones refer to compression plastic zones. In the literature, in the case of both vertical or horizontal frozen walls, research on their plastic zone radius and stress expression for the case wherein the lateral pressure coefficient 1 = λ -i.e., on the elastic or elasticplastic characteristics of frozen wall under uniform load-is most common [5][6][7][8][9][10][11]. However, numerous measured data indicate that the in situ stress includes a certain degree of inhomogeneity, i.e., the ratio of horizontal stress to vertical stress (which is referred to as the lateral pressure coefficient λ) is not equal to 1 [12,13].…”

Section: Introductionmentioning

confidence: 99%

Research on the Elastoplastic Theory and Evolution Law of Plastic Zone Contours of Horizontal Frozen Walls under Nonuniform Loads

Peng,

Xu,

Cao

et al. 2023

Applied Sciences

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The study of the changes in stress and deformation of frozen walls during excavation has always been a hot topic in underground freezing engineering, and the size of the plastic zone is an important basis for evaluating the stability of frozen walls. In response to the shortcomings in the current design of horizontal frozen walls, based on the internal excavation unloading conditions of the frozen wall in artificial ground freezing, an elastoplastic mechanical model for the interaction between a circular horizontal freezing wall and unfrozen soil mass is established under nonuniform loads to obtain the corresponding solutions for stress and displacement in the system. In this study, considering the shear stress of the plastic zone, the method for solving the traditional plastic zone contour equation is modified; consequently, the modified solution of the contour equation of the plastic zone for the frozen wall is obtained. Using this theoretical solution, the influence of the external load p0 and the lateral pressure coefficient λ on the contour line of plastic zone and tensile stress zone are analyzed by combining the project case, the calculation results show that: the λ=0.485 is the critical point where the inner edge of the frozen wall just happens to have tensile stress. When λ<0.485, the tensile stress zone is inevitable in the inner edge of the frozen wall vertical direction, and its range is only related to λ and increases with the decrease of λ. The p0 only affects the magnitude of tensile stress in the region, but does not affect its range. At this time, the frozen wall compression plastic zone contour evolves from crescent shaped to ear shaped with the increase of p0. When 0.485<λ<0.61, there will be no tensile stress zone, the frozen wall compression plastic zone contour also evolves from crescent shaped to ear shaped with the increase of p0. When λ>0.61, there will be also no tensile stress zone, with the increase of p0, the compression plastic zone contour evolves from the crescent shaped in the horizontal direction to the elliptical shaped, and there is no ear-shaped plastic zone in the whole evolution process. Based on our results, we show that our method can be used to provide a theoretical basis for the stability evaluation and parameter (thickness) design calculation of horizontal frozen walls under nonuniform loads.

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Section: Introductionmentioning

confidence: 99%

Research on the Elastoplastic Theory and Evolution Law of Plastic Zone Contours of Horizontal Frozen Walls under Nonuniform Loads

Peng,

Xu,

Cao

et al. 2023

Applied Sciences

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Mechanical properties of pressure-frozen ice under triaxial compressive stress

Sun,

Yang,

Tuhkuri

2024

J. Glaciol.

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Artificial ground freezing is an effective method for underground constructions in deep alluvium. To study the compressive strength of frozen soil under high ground pressure and high hydraulic pressure, it is necessary to understand the mechanical behaviour of ice that is formed under triaxial compressive stress. A low-temperature triaxial test system was developed and used to study both formation and deformation of columnar ice under hydrostatic pressure. Cylindrical ice specimens 125 mm in height and 61.8 mm in diameter were prepared and tested under constant strain rates. At a strain rate of 5 × 10−5 s−1, the peak axial stress showed a linear increase as the confining pressure increased from 2 to 30 MPa, while the peak deviatoric stress exhibited a slight decrease. At a confining pressure of 30 MPa, the peak deviatoric stress showed a logarithmic increase with the strain rate increasing from 5 × 10−6 to 5 × 10−4 s−1, and the failure strain nearly doubled. A power law relationship between the time to failure and the strain rate was also observed. In this study, each test consistently demonstrated a ductile failure mode, with a noticeable reduction in cracking as the confining pressure increased. Due to the effect of the high confining pressure, crack propagation was suppressed, and an apparent recrystallization after peak stress was observed.

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

Cited by 2 publications

References 25 publications

Research on the Elastoplastic Theory and Evolution Law of Plastic Zone Contours of Horizontal Frozen Walls under Nonuniform Loads

Research on the Elastoplastic Theory and Evolution Law of Plastic Zone Contours of Horizontal Frozen Walls under Nonuniform Loads

Mechanical properties of pressure-frozen ice under triaxial compressive stress

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