Analytical study of induced anisotropy in idealized granular materials

Rothenburg, L.; Bathurst, Richard J.

doi:10.1680/geot.1989.39.4.601

Cited by 673 publications

(390 citation statements)

References 13 publications

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“…The probability density function P(θ) of contact normals provides detailed statistical information about the fabric. It is π-periodic in the absence of an intrinsic polarity for n. At the lowest order, we have [14,15] …”

Section: Anisotropies Of the Contact And Force Networkmentioning

confidence: 99%

Does modifying the particle size distribution of a granular material (i.e., material scalping) alters its shear strength?

Azéma

Linero²,

Estrada

et al. 2017

EPJ Web Conf.

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Abstract. By means of two dimensional contact dynamics simulations, we analyzed the effect of the particle size distribution (PSD) on the shear strength of granular materials composed of un-breakable disks. We modelled PSDs with a normalized beta function, which allows for building S-shaped gradation curves, such as those that typically occur in soils. We systematically controlled and varied the size span and the shape of the PSD, and found that the shear strength is independent both characteristics. This implies that PSD modification procedures such as material scalping (i.e., removing the smallest and/or largest particles in the sample) should not affect significantly the shear strength of the material composed of unbreakable discs. In order to explore the origins of the invariance of the shear strength with PSD, we analyzed the connectivity, force transmission, and friction mobilization in terms of anisotropies, finding that the constant shear strength is due to a subtle compensation of anisotropies.

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Section: Anisotropies Of the Contact And Force Networkmentioning

confidence: 99%

Does modifying the particle size distribution of a granular material (i.e., material scalping) alters its shear strength?

Azéma

Linero²,

Estrada

et al. 2017

EPJ Web Conf.

View full text Add to dashboard Cite

show abstract

“…For sufficiently large systems, the dependence of volume averages on individual discrete parameters vanishes [22,45] and the discrete sums can be replaced by integrals as follows:…”

Section: Stress Tensormentioning

confidence: 99%

“…(21) can be reduced by integrating first with respect to the forces and branch vector lengths. Considering the components of the forces and branch vectors in contact frames (n, t), and neglecting the branch/force correlations (see Fig.16), we get [16,22,45]:…”

Section: Stress Tensormentioning

confidence: 99%

Force chains and contact network topology in sheared packings of elongated particles

2012

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By means of contact dynamic simulations, we investigate the contact network topology and force chains in two-dimensional packings of elongated particles modeled by rounded-cap rectangles. The morphology of large packings of elongated particles in quasistatic equilibrium is complex due to the combined effects of local nematic ordering of the particles and orientations of contacts between particles. We show that particle elongation affects force distributions and force/fabric anisotropy via various local structures allowed by steric exclusions and the requirement of force balance. As a result, the force distributions become increasingly broader as particles become more elongated. Interestingly, the weak force network transforms from a passive stabilizing agent with respect to strong force chains to an active force-transmitting network for the whole system. The strongest force chains are carried by side/side contacts oriented along the principal stress direction.

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“…By using Fourier series Rothenburg and Bathurst [11] show that the distribution of the contact normals distribution, E(n), can be presented as follows:…”

Section: Definition Of Stress-induced Anisotropymentioning

confidence: 99%

“…The effect of inherent anisotropy that is due to the particle shape and apparent long axes in its deposition is discussed and formulated. Induced anisotropy is accounted by the parameters that were proposed by Rothenburg and Bathurst [11]. These two factors are combined to show and models the effect of inherent and induced anisotropy in the failure strength of the granular materials.…”

Section: Introductionmentioning

confidence: 99%

Effect of fabric on the strength of granular materials in biaxial compression

Shaverdi¹,

Taha²,

Kalantary³

2013

AIP Conference Proceedings

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Abstract. An equation is presented to unify the strength of granular materials in the presence of inherent and induced anisotropy. By applying a Fourier series that was developed to model fabric, direct incorporation of the fabric in the strength of granular materials is done. Based on the experimental data, in the presence of the same density, fabric is a main parameter to determine the shear strength of the granular materials. The difference between ሺߪ ଵ ߪ ଶ ሻ Τ for the specimens have a same density (or void ratio), is attributed to this equation. Applying this equation the different trends between the samples with different bedding angles can be simulated. Verifying with the experimental data reveals the validity of this formulation.

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Analytical study of induced anisotropy in idealized granular materials

Cited by 673 publications

References 13 publications

Does modifying the particle size distribution of a granular material (i.e., material scalping) alters its shear strength?

Does modifying the particle size distribution of a granular material (i.e., material scalping) alters its shear strength?

Force chains and contact network topology in sheared packings of elongated particles

Effect of fabric on the strength of granular materials in biaxial compression

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