A numerical investigation of the structure of persistent shear bands in granular media

Bardet, Jean-Pierre; Proubet, J.

doi:10.1680/geot.1991.41.4.599

Cited by 241 publications

(61 citation statements)

References 13 publications

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“…When they yield under slow shear, the relative motion is confined to narrow regions (between large solid-like parts) called shear bands [1][2][3]. Shear bands are observed in many complex materials, which range from foams [4] and emulsions [5,6] to colloids [7] and granular matter [1,2,[8][9][10][11][12][13][14][15][16][17]. There has been tremendous effort to understand the shear banding in flow of non-cohesive grains [1,2,[8][9][10][11][12][13][14][15][16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

“…Shear bands are observed in many complex materials, which range from foams [4] and emulsions [5,6] to colloids [7] and granular matter [1,2,[8][9][10][11][12][13][14][15][16][17]. There has been tremendous effort to understand the shear banding in flow of non-cohesive grains [1,2,[8][9][10][11][12][13][14][15][16][17][18][19]. However, real granular materials often experience inter-particle attractive forces due to many physical phenomena: van der Waals due to atomic forces for small grains [20][21][22], capillary forces due to presence of humidity [23], solid bridges [24,25], coagulation of particles [26], and many more.…”

Section: Introductionmentioning

confidence: 99%

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Effect of cohesion on shear banding in quasistatic granular materials

et al. 2014

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It is widely recognized in particle technology that adhesive powders show a wide range of different bulk behavior due to the peculiarity of the particle interaction. We use Discrete Element simulations to investigate the effect of contact cohesion on the steady state of dense powders in a slowly sheared split-bottom Couette cell, which imposes a wide stable shear band. The intensity of cohesive forces can be quantified by the granular Bond number (Bo), namely the ratio between maximum attractive force and average force due to external compression. We find that the shear banding phenomenon is almost independent of cohesion for Bond numbers Bo < 1, but for Bo ≥ 1 cohesive forces start to play an important role, as both width and center position of the band increase for Bo > 1. Inside the shear band, the mean normal contact force is always independent of cohesion and depends only on the confining stress. In contrast, when the behavior is analyzed focusing on the eigen-directions of the local strain rate tensor, a dependence on cohesion shows up. Forces carried by contacts along the compressive and tensile directions are symmetric about the mean force (larger and smaller respectively), while the force along the third, neutral direction follows the mean force. This anisotropy of the force network increases with cohesion, just like the heterogeneity in all (compressive, tensile and neutral) directions.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Effect of cohesion on shear banding in quasistatic granular materials

et al. 2014

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“…From a microscopic point of view, both the particle rotation and grain length scale structure can influence the mechanical behaviour of soil [4,5], which can be investigated numerically by the discrete element method (DEM) [6]. In the standard DEM, the particle rotation is assumed to be either free or strictly prevented [7]. The simulations using free particle rotations may lead to a reduced granular internal friction and develop a soil structure different from that of natural soils [8][9][10].…”

Section: Introductionmentioning

confidence: 99%

A composite particle model for non-spherical particles in DEM simulations

Zhao

Dai

et al. 2015

Granular Matter

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This paper presents a composite particle model with sphere clumps for modelling non-spherical particles in discrete element method (DEM) simulations. The formulation of the sphere clumps uses random selections of particle radii and positions, thus it can theoretically simulate all possible non-spherical particles encountered in engineering projects. In this study, the generation of sphere clumps in space was discussed in detail, and different particle nonsphericities were compared. This numerical model has been employed to study the shear behaviour of granular assemblies under undrained triaxial compression conditions. It is evident that the use of composite particle model in the DEM can largely increase the shear strengths of granular assemblies. For granular samples consisting of various types of sphere clumps, different mechanical responses have been observed. In particular, the sphere clumps with high non-sphericity can lead to very high peak/residual shear strength, and high material internal friction angle. The use of sphere clumps mixture can modulate the shear behaviour, with its mechanical properties being close to those of real quartz sand grains.

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“…In the next section, Eq. (19) for the brittle materials (M1, M2, M3, and M4) will be solved using these boundary conditions [Eq. (20)].…”

Section: Numerical Simulation Of the Micropolar Theorymentioning

confidence: 99%

“…(19)] for the cylindrical specimens under compressive loading by means of the corresponding boundary conditions [Eq (20)…”

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confidence: 99%

Numerical simulation of elastic linear micropolar media based on the pore space length scale assumption

2008

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The 3D micropolar theory numerical simulations have been performed on the brittle isotropic materials (amorphous glass, brittle rock and two different lightweight concretes) with different pore sizes using the cylindrical models under uniaxial compressive loading. To pursue this goal, it is assumed that first, second and third microrotation constants (α, β, and γ), which appear in the couple stress equilibrium equation, are proportional to the square of average pore diameter or so called characteristic length. Unexpectedly such an assumption leads to a constant polar ratio and consequently, the polar ratio cannot be accounted for as a material constant. The present phenomenon substantiates the existence of a redundant material constant for the 3D micropolar media. Accordingly, the micropolar shear constant κ is a material constant. Different coupling numbers N , with relevant domain are numerically investigated to explore the characteristic features of the micropolar shear constant κ. According to the results obtained, the present methodology shows a very good convergence and is consistent with the physically accepted results for the heterogeneous and homogeneous materials including nano-and microscale pores, whereas several unconverted or discontinuous stress fields are found out when using mesoscale pores. The latter disadvantage is believed to be caused by the impact of voids' ratio variation under quasistatic loading.

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A numerical investigation of the structure of persistent shear bands in granular media

Cited by 241 publications

References 13 publications

Effect of cohesion on shear banding in quasistatic granular materials

Effect of cohesion on shear banding in quasistatic granular materials

A composite particle model for non-spherical particles in DEM simulations

Numerical simulation of elastic linear micropolar media based on the pore space length scale assumption

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