Non-coaxial soil model with an anisotropic yield criterion and its application to the analysis of strip footing problems

Yuan, Ran; Yu, Hai‐Sui; Hu, Naibo; He, Yi

doi:10.1016/j.compgeo.2018.02.022

Cited by 32 publications

(26 citation statements)

References 25 publications

(26 reference statements)

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“…In this paper, the yield function proposed for an anisotropic material in plane-strain conditions by Booker and Davis (1972) is used to derive the yield function for two cases of a cracked geomaterial: (1) with isotropic matrix, and (2) with anisotropic matrix. Plane-strain conditions are very common in most geotechnical problems (Wanatowski et al 2010, Wanatowski andChu 2012;Chu et al 2015, Yuan et al 2018. Thus, the yield function proposed by Booker and Davis (1972) can be suitably adapted for the use in geotechnical practice (e.g.…”

Section: Yield Criteria Of Glaciotectonically Deformed Soilsmentioning

confidence: 99%

Yield criteria for glaciotectonically deformed deposits

Florkiewicz

Wanatowski

Flieger-Szymańska

et al. 2018

Engineering Geology

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Most glaciotectonically deformed deposits, including varved clays and glacial tills, are characterised by cracks and fissures. This paper presents a method for describing the yield criteria for glacitectonically deformed cohesive deposits using a model of cracked geomaterial with isotropic or anisotropic matrix. The general representation of the limit conditions for anisotropic materials in plane-strain is used to determine the yield criterion. The yield criterion represents a convex, piece-wise surface in the three-dimensional stress space revealing explicitly global, plastic properties of the materials considered. An example of using proposed yield criteria to solve a bearing capacity problem of a strip foundation constructed on a glaciotectonically cracked layer is presented. The lower and upper-bound estimates of limit loads on the strip footing are given. The limit state analysis presented in this paper can be used to solve many other geotechnical engineering problems, for example, the stability of slopes and reinforced walls or the bearing capacity of pile foundations.

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Section: Yield Criteria Of Glaciotectonically Deformed Soilsmentioning

confidence: 99%

Yield criteria for glaciotectonically deformed deposits

Florkiewicz

Wanatowski

Flieger-Szymańska

et al. 2018

Engineering Geology

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“…To account for the effects of soil strength anisotropy, the coaxial plastic strain rates are defined on the basis of a modified Mohr-Coulomb yield function [26], which can be written in a plain strain stress space as follows [24,27]:…”

Section: Non-coaxial Soil Model With An Anisotropic Yield Criterion Amentioning

confidence: 99%

“…By combining the consistency condition equation for perfect plasticity, the general relationship between total strain rates and stress rates can be given as [24,27]…”

Section: Advances In Materials Science and Engineeringmentioning

confidence: 99%

“…In the past, analyzing the boundary value problems (e.g., bearing capacity of slopes, piles, and strip footings) normally assumed the stress and plastic strain rate to be coaxial [15][16][17][18], even for the seismic loads where severe principal stress rotations can observed [19,20]. Although a couple of authors [21][22][23][24][25] have applied their non-coaxial model in analyzing strip footing problems, these models have not widely been applied to analyze tunnelling problems, in particular, in the frame work of soil strength anisotropy. Yang et al [12] conducted a series of hollow cylinder apparatus (HCA) tests and suggested that non-coaxiality is a significant aspect of soil anisotropy.…”

Section: Introductionmentioning

confidence: 99%

“…Display of the non-coaxial plastic ow rule[24,27]. (a) Geometry and nite element discretization: real size with centrifuge testing.…”

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Application of a Non-Coaxial Soil Model with an Anisotropic Yield Criterion in Tunnelling

Yuan

Zhang

Cui

et al. 2019

Advances in Materials Science and Engineering

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Soil strength isotropy and coaxiality of the principal axes of stress and plastic strain rate tensors are often assumed in modelling the soils around tunnels, in the conventional plastic theory. However, the complexity of the soil response during the excavation of tunnelling cannot be well exhibited. In this paper, a recently developed two-dimensional (2D) elastoplastic constitutive model incorporating both soil strength anisotropy and non-coaxiality is firstly reviewed and then implemented in the finite element platform ABAQUS through the user-defined material subroutine (UMAT). This model is then numerically applied to analyze tunnel excavation problems. Two case studies, i.e., centrifuge testing and field testing, are carried out and compared with the numerical simulations to investigate the influences of soil anisotropy and non-coaxiality on the stress paths of soils around the tunnel crown and the subsurface settlement induced by tunnel excavations. The results show that the representative soil elements around tunnel crown experience severe principal stress orientations. The predictions of normalized subsurface settlement troughs can be improved by considering initial soil strength anisotropy compared to the conventional Mohr–Coulomb model. A larger value of the non-coaxial coefficient results in a larger magnitude of the maximum vertical displacement. The normalized subsurface settlement troughs are better improved in the case of centrifuge testing than that of the field testing.

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Probabilistic pile reinforced slope stability analysis using load transfer factor considering anisotropy of soil cohesion

Wen,

Chu,

et al. 2024

Engineering Reports

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A probabilistic limit equilibrium framework combining empirical load transfer factor and anisotropy of soil cohesion is developed to conduct pile‐reinforced slope reliability analysis. The anisotropy of soil cohesion is determined conditioned on that the thrust force direction is parallel to the major principal direction and it is easily combined with load transfer factor, which are related with soil parameters, and pile parameters. The proposed method is illustrated against a homogeneous soil slope. The sensitivity studies of pile parameters on factor of safety (FS; calculated at respective means of soil parameters) and β demonstrated that the anisotropy of soil cohesion tends to pose significant effect on reliability index β than on FS. The effect of anisotropy of soil cohesion on FS is found to be slightly different under different pile locations, whereas its effect on β is observed to be least if piles are drilled at the middle part of slope and more significant effect is observed when piles are drilled at the lower and upper part of slope. The plots from the sensitivity studies provide an alternative tool for pile designs aiming at the target reliability index β. The proposed method contributes to the pile‐reinforced slope stability within limit equilibrium framework.

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Non-coaxial soil model with an anisotropic yield criterion and its application to the analysis of strip footing problems

Cited by 32 publications

References 25 publications

Yield criteria for glaciotectonically deformed deposits

Yield criteria for glaciotectonically deformed deposits

Application of a Non-Coaxial Soil Model with an Anisotropic Yield Criterion in Tunnelling

Probabilistic pile reinforced slope stability analysis using load transfer factor considering anisotropy of soil cohesion

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