On the attraction power of critical state in granular materials

Deng, Na; Wautier, Antoine; Thiéry, Yannick; Yin, Zhen‐Yu; Hicher, Pierre Yves; Nicot, François

doi:10.1016/j.jmps.2021.104300

Cited by 26 publications

(13 citation statements)

References 45 publications

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“…An example of the 2D loop tessellation is shown in Figure 2(a). The use of grain loops to construct incremental strain fields (instead of coarse graining approach [57,63] for instance) is motivated by existing results highlighting that grain loops are relevant mesoscale structures to capture the mechanical strength of granular materials [33,36,49,50,64]. It enables keeping alive the link with the underlying contact network at the microscopic scale, and correlating meso and micro-scales (see Section 5.1).…”

Section: Incremental Deviatoric Strain Fields Attached To Grain Loopsmentioning

confidence: 99%

Incremental shear strain chain: a mesoscale concept for slip lines in 2D granular materials

et al. 2022

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Constitutive behaviors of granular materials are driven by both particle interactions and geometric arrangements of contact network. To bridge the gap between the grain scale and the sample scale, the mesoscale is of great importance as it corresponds to the smallest scale at which geometrical effect can be accounted for. Meso shear structures (sometimes called microbands) have been observed frequently on incremental strain maps Shear chain concept for granular materials in granular materials under shearing, while the Rudnicki and Rice localization criterion for shear band is not fulfilled yet. These meso structures are thin, quasi-linear and they involve a few grains as well as their surrounding voids. This paper introduces the concept of "incremental shear strain chain" (simply called "shear chain") to provide a specific quantitative definition of such mesostructures. "Shear chains" are defined based on incremental deviatoric strain fields in 2D biaxial simulations. Particular attention is paid to demonstrate that the shear chain orientation is a material scale property, insensitive to boundary conditions, loading paths and sample densities. Since shear chains are shown to be closely related to sliding mechanisms, they can stand for a mesoscale definition of the concept of slip lines as defined in the standard elasto-plasticity theory.

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Section: Incremental Deviatoric Strain Fields Attached To Grain Loopsmentioning

confidence: 99%

Incremental shear strain chain: a mesoscale concept for slip lines in 2D granular materials

et al. 2022

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“…1. The numerical model has been used in previous paper and more details about it can be found in [2,6]. The selected material parameters are quite standard for dry cohesionless granular materials and the following results should remain qualitatively unchanged for different sets of parameters corresponding to realistic granular materials.…”

Section: Simulation Programmentioning

confidence: 99%

“…3, three conditions should be satisfied for a force chain: more than 3 particles, the principal stress of each particle σ p being larger than the averaged assembly stress, the relative orientation between contact and principal stress direction θ being less than 45°. Grain loops, enclosed by contact branches, are categorized into four groups according to the side number [2,7,11]. Note that the wording generating/vanishing relates to incremental evolutions of the sets of chained particles and grain loops during DEM simulations for axial strain increments ∆ε 2 = 0.1%.…”

Section: Dynamics At Critical Statementioning

confidence: 99%

Dynamic view of critical state regime in granular materials: a mesoscale perspective

et al. 2021

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We revisit the Critical State (CS) in a dynamic perspective at a mesoscopic scale to enrich the classical view of the critical state as a steady state. The dynamics of meso-structures has been characterized by recording generating and vanishing processes in discrete element simulations. Our results suggest that meso-structures have a short but regular lifespan at critical state along a biaxial compression loading path.

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“…The elastic–plastic models are quite often used for analyzing wave propagation in granular media [53–56]. Within these models, the usual approach is to split the infinitesimal strain into recoverable elastic ( ε e ) and unrecoverable plastic ( ε pl ) part:…”

Section: Introductionmentioning

confidence: 99%

Seismic barriers filled with solid elastic and granular materials: Comparative analysis

Bratov

Kuznetsov

Морозов

2022

Mathematics and Mechanics of Solids

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A comparative study of the vertical seismic barriers intended for protecting from Rayleigh seismic waves and filled with (1) homogeneous linearly elastic materials and (2) granular metamaterials, is done by the finite-element (FE) modeling. The granular metamaterial obeys the Mohr–Coulomb plasticity model with the associated flow rule, low cohesion value, and small internal friction and dilation angles. The performed numerical analysis reveals a principal ability achieving much higher reduction ratios for magnitudes of accelerations along with much longer shadow zones behind the barrier for barriers filled with metamaterials in comparison with the purely elastic homogeneous barriers.

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On the attraction power of critical state in granular materials

Abstract: The aim of this paper is to offer a fresh perspective on the classic concept of critical state (CS) in granular materials by suggesting that CS can be

Cited by 26 publications

References 45 publications

Incremental shear strain chain: a mesoscale concept for slip lines in 2D granular materials

Incremental shear strain chain: a mesoscale concept for slip lines in 2D granular materials

Dynamic view of critical state regime in granular materials: a mesoscale perspective

Seismic barriers filled with solid elastic and granular materials: Comparative analysis

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