Meso-structure organization in two-dimensional granular materials along biaxial loading path

Zhu, Huaxiang; Nicot, François; Darve, Félix

doi:10.1016/j.ijsolstr.2016.06.025

Cited by 51 publications

(32 citation statements)

References 34 publications

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“…As recently shown for 2D granular assemblies, force chain loss of stability results from the opening of contacting grain cycles . To investigate this feature in 3D, the time evolutions of the number of contacts between two chained particles ( N c c ), two non‐chained particles ( N n n ) and a non‐chained and a chained particle ( N n c ) are represented in Figure .…”

Section: Micromechanical Analysis Of the Onset And Development Of Inssupporting

confidence: 87%

“…The evolution of N c c , N n n , and N n c for the whole sample confirms this mechanism with a generalized drop in N n c observed during the propagation of the burst of kinetic energy. This failure mechanism is consistent with the 2D opening of the 3 particles loops around force chains mentioned in Tordesillas et al or Zhu et al In the end, following the generalized collapse of force chains, the initially loose sample gets denser and the number of contacts between non‐chained particles increases. The decrease in N c c follows qualitatively the trend mentioned in Section 4.2 for the number of chained particles.…”

Section: Micromechanical Analysis Of the Onset And Development Of Insmentioning

confidence: 99%

“…In particular, it has been shown that the strength of a granular material results from its ability to build relatively long force chains and its ability to constantly rearrange existing ones to cope with any change in the boundary conditions. In addition, as shown by Zhu et al and Tordesillas et al in 2D, for instance, the particles not included in these chains forms cycles that have an important stabilizing role.…”

Section: Introductionmentioning

confidence: 99%

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Micro‐inertia origin of instabilities in granular materials

Wautier

Bonelli²,

Nicot

2018

Num Anal Meth Geomechanics

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Summary Within the framework of the second‐order work theory, the onset of instabilities is explored numerically in loose granular materials through three‐dimensional DEM simulations. Stress controlled directional analysis are performed in Rendulic's plane, and a particular attention is paid to transient evolutions at the microscale. Thanks to a micromechanical analysis, the onset and development of transient mechanical instabilities is explored. It is shown that these instabilities result from the unjamming and bending of a few force chains associated with a local burst of kinetic energy. This burst of kinetic energy propagates to the whole sample and provokes a generalized unjamming of force chains. As force chains buckle, a phase transition from a quasi‐static to an inertial regime is observed. At the macroscopic scale, this results in a transient softening and a loss of controllability. After the collapse of existing force chains, the development of plastic strain is eventually stopped as new stable force chains are built.

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Section: Micromechanical Analysis Of the Onset And Development Of Inssupporting

confidence: 87%

Section: Micromechanical Analysis Of the Onset And Development Of Insmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Micro‐inertia origin of instabilities in granular materials

Wautier

Bonelli²,

Nicot

2018

Num Anal Meth Geomechanics

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“…Figure 3b shows the spatial distribution of large loops within the specimen at states (4) and (6). In accordance with findings in [3], it is found that the large loops are concentrated within localized strain zones prior to failure and within the shear band later. Moreover, the steady increase of large loops is responsible for to the intensification of slip planes and volumetric behavior change (see Fig.…”

Section: Evolution and Spatial Distribution Of N-cyclessupporting

confidence: 90%

“…In this paper, the development of slip planes within a granular assembly was analyzed from an energetic viewpoint by considering the distribution of the plastic work resulting from particles sliding within the granular assembly. Additionally, meso-structural aspects were examined by exploring the topological evolutions of so-called minimal closed loops [2][3][4] (n-cycles). By definition, minimal closed loops refer to the minimal simple polygons that are formed by joining the centers of particles through the existing contacts.…”

Section: Introductionmentioning

confidence: 99%

Strain Localization as a Function of Topological Changes in Mesoscopic Granular Structures

Hadda

Wan

Nicot³

et al. 2017

Springer Series in Geomechanics and Geoengineering

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In this paper, the microphysical aspects leading to the occurrence of a localized failure were investigated by examining the initial emergence of ubiquitous potential slip planes and their link to the shear band development. A Discrete Element Model (DEM) representing a dense granular assembly was considered and subjected to a biaxial compression such that it undergoes localized failure into a persistent shear band. The paper includes both energetic and meso-structural analyses based on so-called minimal closed loops.

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