An anisotropic plasticity model incorporating fabric evolution for monotonic and cyclic behavior of sand

Wang, Rui; Cao, Wei; Xue, Long; Zhang, Jianmin

doi:10.1007/s11440-020-00984-y

Cited by 70 publications

(22 citation statements)

References 83 publications

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“…The effectiveness of Equations (14) and (15) in capturing the basic characteristics of dependency of plastic modulus on fabric anisotropy and fabric evolution has been validated in Wang et al 61 against laboratory test and DEM results. Figure 3 can be used as a simple case to help explain the influence of fabric anisotropy on plastic modulus in Equation (13).…”

Section: Model Formulation Unifying the Effects Of Principal Stress Vmentioning

confidence: 99%

“…For the simulation of the DEM tests, || F nin || = 0.558 is directly measured in DEM. The calibration of rest fabric anisotropy‐related parameters for sand in the real world follows a fitting process based on results from triaxial or torsional shear tests on specimens with different initial bedding plane angles 61 …”

Section: Model Formulation Unifying the Effects Of Principal Stress Vmentioning

confidence: 99%

“…In most cases, adequate convergence is achieved after two to three iterations, that is,

{\begin{matrix} 1false {normalΔ}_{1} = {normalΔ}_{1, 4} \\ 1false {normalΔ}_{2} = {normalΔ}_{2, 4} \end{matrix}

. The fabric evolution rate parameter c 2 determines how quickly the stress and strain response of samples with different bedding plane angles converge and can then be fitted accordingly 61 . Figure 4 illustrates this iterative solution process for Δ 1 , Δ 2 , where convergence is quickly reached after Δ 1,2 and Δ 2,2 . Parameter c 1 is used to describe the hardening of sand under PSAR, and is closely related with the accumulation of deviatoric strain and hence volume contraction under pure PSAR.…”

Section: Model Formulation Unifying the Effects Of Principal Stress Vmentioning

confidence: 99%

“…The original isotropic model without considering the effects of PSAR has been validated against a wide range of tests on sand of different void ratios and under different confining stresses, 42,61 allowing for this study to mainly focus on the effects of PSAR and fabric anisotropy in assessing the current model's performance.…”

Section: Model Performance For Laboratory Tests On Toyoura Sandmentioning

confidence: 99%

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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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Section: Model Formulation Unifying the Effects Of Principal Stress Vmentioning

confidence: 99%

Section: Model Formulation Unifying the Effects Of Principal Stress Vmentioning

confidence: 99%

“…In most cases, adequate convergence is achieved after two to three iterations, that is,

{\begin{matrix} 1false {normalΔ}_{1} = {normalΔ}_{1, 4} \\ 1false {normalΔ}_{2} = {normalΔ}_{2, 4} \end{matrix}

Section: Model Formulation Unifying the Effects Of Principal Stress Vmentioning

confidence: 99%

Section: Model Performance For Laboratory Tests On Toyoura Sandmentioning

confidence: 99%

See 2 more Smart Citations

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

Self Cite

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“…More complex forms of anisotropy can develop with different depositional and/or stress-strain histories [24]. Anisotropy and fabric evolution are active topics in granular matter research, see for example Cottechia et al [20], Papadimitriou et al [56], Chen et al [15], Vijayan et al [78], Wang et al [79,80], Zhao and Kruyt [84] and others.…”

Section: Introductionmentioning

confidence: 99%

Representation of stress and strain in granular materials using functions of direction

Dean

2020

Granular Matter

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This paper proposes a new way of describing effective stress in granular materials, in which stress is represented by a continuous function of direction in physical space. The proposal provides a rigorous approach to the task of upscaling from particle mechanics to continuum mechanics, but is simplified compared to a full discrete element analysis. It leads to an alternative framework of stress–strain constitutive modelling of granular materials that in particular considers directional dependency. The continuous function also contains more information that the corresponding tensor, and thereby provides space for storing information about history and memory. A work-conjugate set of geometric rates representing strain-rates is calculated, and the fundamental principles of local action, determinism, frame indifference, and rigid transformation indifference are shown to apply. A new principle of freedom from tensor constraint is proposed. Existing thermo-mechanics of granular media is extended to apply for the proposed functions, and a new method is described by which strain-rate equations can be used in large-deformations modelling. The new features are illustrated and explored using simple linear elastic models, producing new results for Poisson’s ratio and elastic modulus. Ways of using the new framework to model elastoplasticity including critical states are also discussed.

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Anisotropic subloading surface Cam‐clay plasticity model with rotational hardening: Deformation gradient‐based formulation for finite strain

Yamakawa

Hashiguchi

Sasaki

et al. 2021

Num Anal Meth Geomechanics

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This study is aimed at developing an anisotropic elastoplastic constitutive model for geomaterials at finite strain and its stress calculation algorithm based on the fully implicit return-mapping scheme. The Cam-clay plasticity model is adopted as a specific prototype model of geomaterials. As a pertinent representation of deformation-induced anisotropy in geomaterials, nonlinear rotational hardening is incorporated into the model in a theoretically reasonable manner by introducing the dual multiplicative decompositions of the deformation gradient tensor. In addition to the usual decomposition into elastic and plastic parts, the plastic part is decomposed further into a part contributing to the rotational hardening and a remainder part. The former part leads to a back stress ratio tensor related to the rotational hardening via a hyperelastic-type hardening rule. The constitutive theory is thereby formulated on proper intermediate configurations entirely in terms of deformation-like tensorial variables possessing invariance property, without resort to any objective rates of stress or stress-like variables. Combining the Cam-clay plasticity with the concept of subloading surface, a class of unconventional plasticity, enables the model to be capable of reproducing complex hardening/softening accompanied by volumetric contractive/dilative responses.Basic characteristics and predictive capability of the proposed model, as well as the accuracy of the developed numerical scheme, are verified through several numerical examples including monotonic and cyclic loadings. K E Y W O R D Sanisotropy, cam-clay plasticity, finite strain, return-mapping algorithm, rotational hardening, subloading surface conceptThis is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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An anisotropic plasticity model incorporating fabric evolution for monotonic and cyclic behavior of sand

Cited by 70 publications

References 83 publications

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

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

Representation of stress and strain in granular materials using functions of direction

Anisotropic subloading surface Cam‐clay plasticity model with rotational hardening: Deformation gradient‐based formulation for finite strain

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