Rheology of granular flows across the transition from soft to rigid particles

Coulomb, Adeline Favier de; Bouzid, Mehdi; Claudin, Philippe; Clément, Éric; Andreotti, Bruno

doi:10.1103/physrevfluids.2.102301

Cited by 38 publications

(54 citation statements)

References 42 publications

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“…First, the validity of the binary vision distinguishing elastic and plastic regions has been challenged for hard particles, such as grains (Bouzid et al, 2015a). de Coulomb et al (2017) thus recently contended that, as particles become stiffer, this binary picture fades into complex reorganizations of the network of contacts via cooperative motion of the particles. It is very tempting to relate these changes to the surge of delocalized low-energy excitations in emulsions and packings of frictionless spheres (Andreotti et al, 2012;Wyart et al, 2005) as pressure is reduced and they approach jamming from above: These spatially extended and structurally complex soft modes are swept away upon compression and leave the floor to more localized excitations at higher pressure and energies.…”

Section: Quantitative Descriptionmentioning

confidence: 99%

Deformation and flow of amorphous solids: Insights from elastoplastic models

et al. 2018

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CONTENTSFrequently used notations 3 FIG. 1 Overview of amorphous solids. From left to right, top row : cellular phone case made of metallic glass (1); toothpaste (2); mayonnaise (3); coffee foam (4); soya beans (5). Second row : a transmission electron microscopy (TEM) image of a fractured bulk metallic glass (Cu50Zr45Ti5) by X. Tong et. al (Shanghai University, China); TEM image of blend (PLLA/PS) nanoparticles obtained by miniemulsion polymerization, from L. Becker Peres et al. (UFSC, Brazil); emulsion of water droplets in silicon oil observed with an optical microscope by N. Bremond (ESPCI Paris); a soap foam filmed in the lab by M. van Hecke (Leiden University, Netherlands); thin nylon cylinders of different diameters pictured with a camera, from T. Miller et al. (University of Sydney, Australia). The white scale bars are approximate. Just below, a chart of different amorphous materials, classified by the size and the damping regime of their elementary particles. At the bottom: some popular modeling approaches, arranged according to the length scales of the materials for which they were originally developed. STZ stands for the shear transformation zone theory of Langer (2008), and SGR for the soft glassy rheology theory of Sollich et al. (1997).

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Section: Quantitative Descriptionmentioning

confidence: 99%

Deformation and flow of amorphous solids: Insights from elastoplastic models

et al. 2018

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“…Numerical simulations were also performed based on the discrete element methods (DEM) with Hertz interactions (and rigid particles), but by considering arbitrary overlaps between particles (much larger than allowed by the Hertz model). Although, in these studies the global properties were quite appropriately estimated, the particle-scale parameters were not well predicted [7,8]. Recently some numerical works using methodologies combining features of the DEM with appropriate methods for the simulation of particle deformations were carried out [9][10][11][12].…”

Section: Numerical Simulations Of the Compaction Of Assemblies Of Rubmentioning

confidence: 99%

Numerical simulations of the compaction of assemblies of rubberlike particles: A quantitative comparison with experiments

Vu¹,

Barés²,

Mora³

et al. 2019

Phys. Rev. E

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Using the contact dymanics method together with the finite element method, we simulate the uniaxial compression of assemblies of elastic cylinders. The numerical model accounts for finite deformations of the particles through the neo-Hookean constitutive equation and solid friction between the particles. A quantitative comparison with experiments carried out with centimetric rubberlike cylinders, with local deformations of the particles determined by image correlation, is proposed. We show that the simulations accurately capture the details of both the microstructure and the macroscopic behavior of the real granular system, demonstrating the relevancy of the numerical approach.

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“…Later this law has been extended to the frictional and adhesive contact cases [3][4][5][6]. Nowadays these simple, though accurate, law is still widely used in fields of physics and mechanics as different as atomic force microscope explorations [7,8], granular matter [9][10][11][12][13], chemistry [14] [15], bio-mechanics [8,16], etc. However, while the Hertzian contact theory gives a clear description of the contact in the ubiquitous limit of infinitesimal deformations, for finite deformations a wide range of behaviours is observed depending on the material properties (see Fig.…”

Section: Introductionmentioning

confidence: 99%

Deformation Field in Diametrically Loaded Soft Cylinders

Barés

Mora

et al. 2019

Exp Mech

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Deformation fields at the surface of diametrically squeezed shallow cylinders in the large deformation regime are measured experimentally and numerically for different material behaviour in the large deformation regime. By means of a digital image correlation method optimized for large displacements, strain fields are measured and compared with finite element simulations. Assuming a neo-Hookean behaviour for cylinders made of rubber silicone, the strain field is found to be in quantitative agreement with non-linear finite element simulations up to the highest deformations reached in our experiments (15%). For materials that follow an elastoplastic constitutive law, agreement is lost after few percents of deformation and location of the strain field differences are identified up to strains as high as 30%. Strain field evolution is also measured for solid foam cylinders up to 60% of global deformation strain. This method that can be applied to a broad variety of materials, even in the occurrence of large deformations, provides a way to study quantitatively local features of the mechanical contact.

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Rheology of granular flows across the transition from soft to rigid particles

Abstract: International audienc

Cited by 38 publications

References 42 publications

Deformation and flow of amorphous solids: Insights from elastoplastic models

Deformation and flow of amorphous solids: Insights from elastoplastic models

Numerical simulations of the compaction of assemblies of rubberlike particles: A quantitative comparison with experiments

Deformation Field in Diametrically Loaded Soft Cylinders

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