On a fabric evolution law incorporating the effects of b-value

Yuan, Ran; Yu, Hai‐Sui; Yang, Dun-Shun; Hu, Naibo

doi:10.1016/j.compgeo.2018.09.019

Cited by 28 publications

(29 citation statements)

References 43 publications

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“…In most cases of three-dimensional materials, the frequency distribution of contact normals in a granular assembly can be expressed by a spherical harmonic series with the second-order approximation [21,93] where n denotes the unit contact normal at a contact. According to Kanatani [23], the tensor F in Eq.…”

Section: Definition Of Fabric Tensormentioning

confidence: 99%

“…1. In a general stress space, it is found that both M and M F are dependent on the b value [93]. For simplicity, we first take M and M F as constants here, and their dependency on the b value will be discussed in Sect.…”

Section: Description Of the Anisotropic Critical Statementioning

confidence: 99%

“…The derivation and validation of the fabric evolution law refer to the reference of [21], and an extension for incorporating the intermediate stress ratio effect is presented in the Ref. [93].…”

Section: Fabric Evolution Lawmentioning

confidence: 99%

“…Upon continuous shearing, the evolution law transitions from the first type to the second type gradually, and hence, the aforementioned disadvantages that exist in evolution laws taking the form of only one of them may be overcome. From a microstructural perspective, the evolution laws (15) and (16) may roughly represent two typical mechanisms of fabric evolution, respectively [21,93]. At the initial stage of shearing, contacts are forced to reorganise to stabilise the potential buckling of force chain responding to the applied shear stress [71].…”

Section: Fabric Evolution Lawmentioning

confidence: 99%

“…[72,88] and numerical simulations (e.g. [70,87,93]) demonstrated that the shear mode has a significant influence on the strength and deformation behaviour of granular materials. The shear mode is normally measured by the intermediate stress ratio (b value) or Lode's angle h l .…”

Section: Effects Of Shear Modementioning

confidence: 99%

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Constitutive modelling of granular materials using a contact normal-based fabric tensor

Yang

et al. 2019

Acta Geotech.

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This paper presents a fabric tensor-based bounding surface model accounting for anisotropic behaviour (e.g. the dependency of peak strength on loading direction and non-coaxial deformation) of granular materials. This model is developed based on a well-calibrated isotropic bounding surface model. The yield surface is modified by incorporating the back stress which is proportional to a contact normal-based fabric tensor for characterising fabric anisotropy. The evolution law of the fabric tensor, which is dependent on both rates of the stress ratio and the plastic strain, rules that the material fabric tends to align with the loading direction and evolves towards a unique critical state fabric tensor under monotonic shearing. The incorporation of the evolution law leads to a rotational hardening of the yield surface. The anisotropic critical state is assumed to be independent of the initial values of void ratio and fabric tensor. The critical state fabric tensor has the same intermediate stress ratio (i.e. b value) and principal directions as the critical state stress tensor. A non-associated flow rule in the deviatoric plane is adopted, which is able to predict the non-coaxial flow naturally. The stress-strain relation and fabric evolution of model predictions show a satisfactory agreement with DEM simulation results under monotonic shearing with different loading directions. The model is also validated by comparing with laboratory test results of Leighton Buzzard sand and Toyoura sand under various loading paths. The comparison results demonstrate encouraging applicability of the model for predicting the anisotropic behaviour of granular materials.

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Section: Definition Of Fabric Tensormentioning

confidence: 99%

Section: Description Of the Anisotropic Critical Statementioning

confidence: 99%

Section: Fabric Evolution Lawmentioning

confidence: 99%

Section: Fabric Evolution Lawmentioning

confidence: 99%

Section: Effects Of Shear Modementioning

confidence: 99%

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Constitutive modelling of granular materials using a contact normal-based fabric tensor

Yang

et al. 2019

Acta Geotech.

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Three‐dimensional anisotropic plasticity model for sand subjected to principal stress value change and axes rotation

Xue

Pan

et al. 2020

Num Anal Meth Geomechanics

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A three‐dimensional (3D) anisotropic plasticity model for sand is formulated in this study to provide a constitutive description for both radial and principal stress axes rotation (PSAR) loading‐induced behavior under various conditions with a single set of model parameters. The model has zero elastic range, with plastic loading and flow direction dependent on both current stress and stress rate direction. Fabric tensor is introduced along with its evolution to achieve anisotropic plastic modulus, dilatancy, and flow rule formulations. Increase in plastic modulus under continuous PSAR achieves eventual convergence of strain accumulation. A unique decomposition of dilatancy controls the overall contraction and periodic dilatancy oscillation under PSAR. The performance of the model is first thoroughly evaluated based on drained/undrained, monotonic shear/PSAR tests on Toyoura sand, showing its effectiveness in reproducing the behavior of real sand. Discrete element method numerical test results are then adopted for comprehensive calibration of the model parameters, and then for validation of the model under 3D PSAR in any arbitrary direction. These comparisons highlight the model's capability in simulating the behavior of granular soil under 3D stress paths.

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Quantification of fabric evolution in granular material under cyclic loading

Mo,

Wang,

Zhang

et al. 2023

Num Anal Meth Geomechanics

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Fabric influences the macro scale mechanical properties and behavior of granular materials as a continuum and can be represented by an appropriately defined evolving fabric tensor entering the constitutive equations. In this study, the evolution of fabric tensors under cyclic loading is investigated and quantified by a series of cyclic loading DEM tests. Simulations of the DEM data are made by two different continuum evolution rate equations for the contact normal‐based fabric tensor, both within the Anisotropic Critical State Theory (ACST) framework: the first, is a Basic Fabric Evolution (BFE) equation and the second, is a novel Combined Fabric Evolution (CFE) equation, where a quantity related to particle‐based fabric tensor is considered. The comparison with DEM results highlights the capability of the CFE equation in simulating fabric evolution under cyclic loading for different anisotropy, density, and loading conditions. In addition, such simulations are significantly more accurate in comparison with those obtained by the BFE equation. The reason for the superiority of CFE over the BFE is the incorporation of the influence of the particle orientation fabric on contact normal fabric evolution. Analytical evaluation of CFE further identifies a total of seven periodic stable contact normal fabric evolution patterns that exist under cyclic loading, governed by initial void ratio, intensity of anisotropy, and stress amplitude. The limitation of current fabric evolution equations in being able to only reflect the proportional coaxial part of the fabric tensor with respect to the loading direction is discussed.

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On a fabric evolution law incorporating the effects of b-value

Cited by 28 publications

References 43 publications

Constitutive modelling of granular materials using a contact normal-based fabric tensor

Constitutive modelling of granular materials using a contact normal-based fabric tensor

Three‐dimensional anisotropic plasticity model for sand subjected to principal stress value change and axes rotation

Quantification of fabric evolution in granular material under cyclic loading

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