Subparticle stress fields in granular solids

Topin, Vincent; Radjaï, Farhang; Delenne, Jean‐Yves

doi:10.1103/physreve.79.051302

Cited by 6 publications

(3 citation statements)

References 13 publications

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“…12(a) and 12(b), where the probability density functions (PDFs) of normal forces f n are displayed. The PDF for η = 0 is practically the same as for disks (η = 0) with a roughly exponential falloff of large forces, a peak slightly below the mean force and a nonvanishing PDF as the force tends to zero [44][45][46][47][48][49][50][51][52]. The normal force PDFs in the residual state are shown in Figs.…”

Section: Force Distributionsmentioning

confidence: 77%

Rheology of granular materials composed of nonconvex particles

et al. 2011

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By means of contact dynamics simulations, we investigate the shear strength and internal structure of granular materials composed of two-dimensional nonconvex aggregates. We find that the packing fraction first grows as the nonconvexity is increased but declines at higher nonconvexity. This unmonotonic dependence reflects the competing effects of pore size reduction between convex borders of aggregates and gain in porosity at the nonconvex borders that are captured in a simple model fitting nicely the simulation data both in the isotropic and sheared packings. On the other hand, the internal angle of friction increases linearly with nonconvexity and saturates to a value independent of nonconvexity. We show that fabric anisotropy, force anisotropy, and friction mobilization, all enhanced by multiple contacts between aggregates, govern the observed increase of shear strength and its saturation with increasing nonconvexity. The main effect of interlocking is to dislocate frictional dissipation from the locked double and triple contacts between aggregates to the simple contacts between clusters of aggregates. This self-organization of particle motions allows the packing to keep a constant shear strength at high nonconvexity.

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Section: Force Distributionsmentioning

confidence: 77%

Rheology of granular materials composed of nonconvex particles

et al. 2011

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“…Note that κ increases from −1 (which is the value for the Wigner semicircle distribution) to 0 (the value for a Gaussian) in S 1 and tending to 6 (for an exponential function) in S 4 . The nearly exponential falloff of the stress PDFs at high disorder and porosity recalls the statistics of strong contact forces in a granular material [33][34][35][36]. This analogy can be elaborated by Delaunay triangulation of the matrix using the pore centers.…”

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confidence: 99%

Stress Transmission and Failure in Disordered Porous Media

et al. 2017

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“…Typical examples of CGM are concrete, soil‐cement mixing, sedimentary rocks, 1,2 even bio‐cemented sands 3 . This class of materials has been subjected to numerous theoretical, numerical, and experimental research for a long while 4–11 . In the numerical modelling context, CGM's behaviour could be approached at macro‐ or micro‐scale by either continuum or discrete modelling 6,9,12 .…”

Section: Introductionmentioning

confidence: 99%

FEM×DEM multi‐scale model for cemented granular materials: Inter‐ and intra‐granular cracking induced strain localisation

Nguyen

Desrues

et al. 2022

Num Anal Meth Geomechanics

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In this paper, we present a multi‐scale model that combines the finite element method (FEM) and the discrete element method (DEM) to study the behaviour of cemented granular materials (CGM) at both the sample (macroscopic) and particle (microscopic) scales, taking into account inter‐ and intra‐granular cracking. At the microscopic scale, the material is made up of Volume Elements (VE) composed of particles. Their mechanical behaviour is modelled by the DEM. In the VEs, we find circular grains (single particles) and meso‐grains; the meso‐grains being made up of clusters of particles linked by strong cohesive bonds. All particles interact via normal/tangential contact and rolling resistance laws with cohesive bonds. At the macroscopic scale, the sample is modelled using the FEM. A VE is assigned to each Gauss point of the mesh; the mechanical response of the VE is used to numerically derive the constitutive response of the material to the strain increment exerted at each point. In the models reported in this paper, localised failures in shear band mode are observed at the macroscopic scale. By performing a microscopic analysis, the results show that the occurrence and development of shear bands give rise locally to a strong evolution of microscopic characteristics such as void ratio, number of contacts (total and debonding contacts), and remarkably by inter‐ and intra‐granular cracking in the case of meso‐grains. Furthermore, the stress and strain tensors non‐coaxiality is clearly demonstrated inside the shear band, but almost negligible outside.

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Subparticle stress fields in granular solids

Cited by 6 publications

References 13 publications

Rheology of granular materials composed of nonconvex particles

Rheology of granular materials composed of nonconvex particles

Stress Transmission and Failure in Disordered Porous Media

FEM×DEM multi‐scale model for cemented granular materials: Inter‐ and intra‐granular cracking induced strain localisation

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