An evolution law for fabric anisotropy and its application in micromechanical modelling of granular materials

Zhao, Chao-Fa; Kruyt, Nicolaas P.

doi:10.1016/j.ijsolstr.2020.04.007

Cited by 30 publications

(27 citation statements)

References 86 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In order to understand the evolution of fabric in granular soils under loading, three aspects are important: (1) inherent, initial anisotropy, (2) fabric evolution, and (3) fabric at the critical state [41,49].…”

Section: Introductionmentioning

confidence: 99%

“…Then a fabric evolution law is required. Fabric evolution laws can be categorised with respect to the variables considered to be relevant for the fabric rate: (i) stress ratio rate, current fabric tensor, and void ratio [55,56]; (ii) (plastic) strain rate, current fabric tensor and void ratio [49,57,58]; (iii) (plastic) strain rate as well as stress ratio rate, current stress and fabric tensors and void ratio [49,50,59,60]; and (iv) a plastic loading index, and the current fabric tensor [41, 50-53, 61, 62].…”

Section: Introductionmentioning

confidence: 99%

“…With such DEM simulations, samples with various inherent anisotropy can be generated by gravity deposition or by the radius expansion method, and the evolution of fabric can be quantitatively determined, see for instance [14,40,[65][66][67]73]. The DEM simulation results show that inherent fabric anisotropy, initial void ratio and loading direction have a significant influence on the behaviour of granular soils [18,24,40,49,67].…”

Section: Introductionmentioning

confidence: 99%

“…To describe the evolution of fabric, a rate-form evolution law for the fabric tensor has recently been proposed by Zhao and Kruyt [49], based on DEM simulation results from the literature. This evolution law involves critical-state fabric anisotropy, current fabric, stress ratio, loading direction and rate of deviatoric plastic strain.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Evolution of fabric anisotropy of granular soils: x-ray tomography measurements and theoretical modelling

Zhao

Pinzón

Wiebicke

et al. 2021

Computers and Geotechnics

Self Cite

View full text Add to dashboard Cite

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Evolution of fabric anisotropy of granular soils: x-ray tomography measurements and theoretical modelling

Zhao

Pinzón

Wiebicke

et al. 2021

Computers and Geotechnics

Self Cite

View full text Add to dashboard Cite

“…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

View full text Add to dashboard Cite

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.

show abstract

A framework for constructing elasto‐plastic constitutive models for frozen and unfrozen soils

Guo

2021

Num Anal Meth Geomechanics

View full text Add to dashboard Cite

The need for unified constitutive models for frozen and unfrozen soils in simulating frost heave and thaw consolidation has been recognized. However, a reliable and easy‐to‐implement model is not yet available. This paper extends the one‐dimensional elasto‐plastic model proposed by Yu et al. to solve multi‐dimensional problems. In the extended model, total and effective stresses are taken as the stress variables for frozen and unfrozen soils, respectively. A critical‐state‐based mode, Clay And Sand Model (CASM), is employed for soil at unfrozen states. The emphasis is placed on how a basic constitutive model for unfrozen soils is extended to describe the elasto‐plastic behavior for both unfrozen and frozen soils in two steps: (1) extension of the constitutive model from unfrozen to frozen soils by considering ice‐bonding effect, and (2) integration of descriptions for soils at unfrozen and frozen states using the concept of residual stress (by Nixon and Morgenstern). The freeze‐thaw cycling effect is naturally incorporated by the introduction of residual stress line that is used to determine the initial stress state and preconsolidation pressure of thawed soil. After being implemented into FORTRAN subroutines for ABAQUS, the performance of the proposed model is demonstrated by simulating triaxial compression tests on frozen sand at different temperatures under confining pressures, and freeze‐thaw cycling processes of silty clay under loading.

show abstract

An evolution law for fabric anisotropy and its application in micromechanical modelling of granular materials

Cited by 30 publications

References 86 publications

Evolution of fabric anisotropy of granular soils: x-ray tomography measurements and theoretical modelling

Evolution of fabric anisotropy of granular soils: x-ray tomography measurements and theoretical modelling

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

A framework for constructing elasto‐plastic constitutive models for frozen and unfrozen soils

Contact Info

Product

Resources

About