Meso-structure evolution in a 2D granular material during biaxial loading

Zhu, Huaxiang; Nicot, François; Darve, Félix

doi:10.1007/s10035-016-0608-2

Cited by 49 publications

(34 citation statements)

References 27 publications

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“…As the shear band develops further, the contacts within it gradually unload elastically to induce void expansion whose contribution may be negligible compared to the one driven by the granular plastic rearrangement. The development of such process along a strain controlled compression was confirmed in [32] through a comprehensive description of the above mentioned aspects at the microscopic and mesoscopic scales.…”

Section: Elastic Unloadingmentioning

confidence: 93%

“…The decreasing of ΔW ext before failure is mainly due to a Δσ 1 /Δε 1 slope decrease, while the continuous decrease in ΔE el is mainly due to the dilation of the granular material. Actually, a link between the variation of the elastic energy stored at contacts and the macroscopic volume change was established in [32] based on a mesoscopic analysis conducted on similar granular packings that were subjected to strain-controlled biaxial compression. According to Figs.…”

Section: Non-effective Versus Effective Localized Failurementioning

confidence: 99%

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Failure in granular media from an energy viewpoint

Hadda

Sibille

Nicot³

et al. 2016

Granular Matter

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The present paper examines failure in discrete granular media with respect to its mode and nature based on energetic considerations through a comprehensive discrete element modelling computational analysis. The mode of failure refers to whether deformations will localize into an intense shear band or be diffuse. More subtly, a given failure mode can be effective with a burst of kinetic energy, or noneffective with a more controlled release of kinetic energy, depending on the control parameter. Physical quantities based on energy considerations with elementary decompositions of externally applied energy into elastic, plastic and kinetic contributions at the particle level are computed for a number of granular assemblies under a variety of failure scenarios. With the picture of a particle system experiencing macroscopic deformations according to underlying microand meso-mechanisms, it is concluded that computed grainenergy components depend on the microstructural detail that emerges as a function of loading program and control parameter. The relationship between elastic unloading outside a shear band and plastic dissipation inside it under both strain and stress control modes determines the genesis of shear banding in terms of plastic work dissipation minimization. Most interestingly, it is found that the energy signature inside the shear band in a dense granular packing is germane to This article is part of the Topical Collection on Micro origins for macro behavior of granular matter.B Nejib Hadda energy characteristics of diffuse failure in a loose assembly, suggesting some similarities in microscopic failure processes between shear banding and diffuse failure.

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Section: Elastic Unloadingmentioning

confidence: 93%

Section: Non-effective Versus Effective Localized Failurementioning

confidence: 99%

Failure in granular media from an energy viewpoint

Hadda

Sibille

Nicot³

et al. 2016

Granular Matter

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“…More recently (Tordesillas et al 2012), other meso-structures have been characterized by considering contacting grains forming closed loops [in two-dimensional (2D) conditions], which have been called "force loops". These force loops can comprise three, four, five, or even more grains in contact, but the number of such loops decreases rapidly as the number of grains involved decreases (Tordesillas and Muthuswamy 2009;Tordesillas et al 2012;Kruyt 2012;Zhu et al 2016).…”

Section: Introductionmentioning

confidence: 99%

Mesoscopic Scale Instability in Particulate Materials

Nicot¹,

Veylon²,

Zhu³

et al. 2016

J. Eng. Mech.

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This manuscript investigates some instability features in granular materials by considering an elementary grain arrangement on the intermediate scale. Although force chains have long been recognized as playing a basic role in the strength of granular specimens, the collaborative contribution of grain loops (grain arrangement) has been highlighted more recently. As a result, the stability of grain loops is expected to strongly govern the stability of the whole assembly. This paper shows that such elementary patterns can be destabilized even though the contact law between granules is elastic. This behavior stems from the nature of the kinematical model describing the geometrical interaction between neighboring grains.

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“…In the past, various homogenisation methods are developed to derive micro‐macro relationships of granular materials, such as Voigt's hypothesis ( kinematic assumption ), Reuss's hypothesis ( static assumption ) , best‐fit hypothesis , and Piece‐wide fit hypothesis. Some recent works aimed at defining a relevant mesoscale to link continuum‐based mechanics at the macroscopic scale, precisely to circumvent the noncontinuum microscopic characteristics at the contact scale.…”

Section: Introductionmentioning

confidence: 99%

A hybrid calibration approach to Hertz‐type contact parameters for discrete element models

Feng

Zhao

et al. 2020

Num Anal Meth Geomechanics

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This study aims at providing a hybrid calibration framework to estimate Hertztype contact parameters (particle-scale shear modulus and Poisson ratio) for both two-dimensional and three-dimensional discrete element modelling (DEM). On the basis of statistically isotropic granular packings, a set of analytical formulae between macroscopic material parameters (Young modulus and Poisson ratio) and particle-scale Hertz-type contact parameters for granular systems are derived under small-strain isotropic stress conditions. However, the derived analytical solutions are only estimated values for general models.By viewing each DEM modelling as an implicit mathematical function taking the particle-level parameters as independent variables and employing the derived analytical solutions as the initial input parameters, an automatic iterative scheme is proposed to obtain the calibrated parameters with higher accuracies. Considering highly nonlinear features and discontinuities of the macro-micro relationship in Hertz-based discrete element models, the adaptive moment estimation algorithm is adopted in this study because of its capacity of dealing with noise gradients of cost functions. The proposed method is validated with several numerical cases including randomly distributed monodisperse and polydisperse packings. Noticeable improvements in terms of calibration efficiency and accuracy have been made. K E Y W O R D Sadaptive moment estimation, calibration, constitutive law, discrete element method, Hertz-Mindilin contact model, nonlinear elastic model

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Meso-structure evolution in a 2D granular material during biaxial loading

Cited by 49 publications

References 27 publications

Failure in granular media from an energy viewpoint

Failure in granular media from an energy viewpoint

Mesoscopic Scale Instability in Particulate Materials

A hybrid calibration approach to Hertz‐type contact parameters for discrete element models

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