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Under shear, a system of particles changes its contact network and becomes unstable as it transitions between mechanically stable states. For hard spheres at zero pressure, contact breaking events necessarily generate an instability, but…

Soft Condensed Matter · Physics 2020-05-20 Peter K. Morse , Sven Wijtmans , Merlijn van Deen , Martin van Hecke , M. Lisa Manning

The modeling of the elastic properties of granular or nanoscale systems requires the foundations of the theory of elasticity to be revisited, as one explores scales at which this theory may no longer hold. The only cases for which a…

Statistical Mechanics · Physics 2007-05-23 I. Goldhirsch , C. Goldenberg

In horizontally shaken granular material different types of pattern formation have been reported. We want to deal with the convection instability which has been observed in experiments and which recently has been investigated numerically.…

Materials Science · Physics 2007-05-23 Clara Saluena , Thorsten Poeschel

Clustering is one of the mayor collective phenomena observed in active matter. We study the overdamped motion of interacting active Brownian particles in two dimensions. An instability in the pair correlation function causes the onset of…

Soft Condensed Matter · Physics 2024-03-18 Rüdiger Kürsten

It was discovered recently that frictional granular materials can exhibit an important mechanism for instabilities, i.e the appearance of pairs of complex eigenvalues in their stability matrix. The consequence is an oscillatory exponential…

Soft Condensed Matter · Physics 2019-10-09 Joyjit Chattoraj , Oleg Gendelman , Massimo Pica Ciamarra , Itamar Procaccia

In order to understand the nature of friction in closely-packed granular materials, a discrete element simulation on granular layers subjected to isobaric plain shear is performed. It is found that the friction coefficient increases as the…

Soft Condensed Matter · Physics 2007-06-15 Takahiro Hatano

We perform numerical simulations of a two-dimensional frictional granular system under oscillatory shear confined by constant pressure. We found that the system undergoes dilatancy as the strain increases. We confirmed that compaction also…

Soft Condensed Matter · Physics 2021-06-23 Daisuke Ishima , Hisao Hayakawa

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…

Soft Condensed Matter · Physics 2015-06-18 Abhinendra Singh , Vanessa Magnanimo , Kuniyasu Saitoh , Stefan Luding

Unilateral interparticle interactions have an effect on the elastic response of granular materials due to the opening and closing of contacts during quasi-static shear deformations. A simplified model is presented, for which constitutive…

Soft Condensed Matter · Physics 2012-05-22 M. Reza Shaebani , Jens Boberski , Dietrich E. Wolf

The scaling theory of irreversible aggregation is discussed in some detail. First, we review the general theory in the simplest case of binary reactions. We then extend consideration to ternary reactions, multispecies aggregation,…

Statistical Mechanics · Physics 2009-11-10 F. Leyvraz

Our knowledge of the strengths of small bodies in the Solar System is limited by our poor understanding of their internal structures, and this, in turn, clouds our understanding of the formation and evolution of these bodies. Observations…

Earth and Planetary Astrophysics · Physics 2014-09-24 Ronald-Louis Ballouz , Derek C Richardson , Patrick Michel , Stephen R. Schwartz , Yang Yu

Shear strain localization into shear bands is associated with velocity weakening instabilities and earthquakes. Here, we simulate steady-state plane-shear flow of numerical granular material (gouge), confined between parallel surfaces. Both…

Soft Condensed Matter · Physics 2021-11-09 Stanislav Parez , Tereza Travnickova , Martin Svoboda , Einat Aharonov

We investigate the rheology of strain-hardening spherical capsules, from the dilute to the concentrated regime under a confined shear flow using three-dimensional numerical simulations. We consider the effect of capillary number, volume…

Fluid Dynamics · Physics 2021-01-27 Othmane Aouane , Andrea Scagliarini , Jens Harting

Granular convergence is a property of a granular pack as it is repeatedly sheared in a cyclic, quasistatic fashion, as the packing configuration changes via discrete events. Under suitable conditions the set of microscopic configurations…

Soft Condensed Matter · Physics 2023-08-25 Anna Movsheva , Thomas A. Witten

Odd elasticity describes the unusual elastic response of solids whose stress-strain relationship is not compatible with an elastic potential. Here, we present a study of odd elasticity in a driven granular matter system composed of grains…

Soft Condensed Matter · Physics 2023-12-01 Rosalind Huang , Rituparno Mandal , Colin Scheibner , Vincenzo Vitelli

Shear thickening denotes the reversible increase in viscosity of a suspension of rigid particles under external shear. This ubiquitous phenomenon has been documented in a broad variety of multiphase particulate systems, while its…

Soft Condensed Matter · Physics 2026-03-16 Philippe Bourrianne , Vincent Niggel , Gatien Polly , Thibaut Divoux , Gareth H. McKinley

Many materials of contemporary interest, such as gels, biological tissues and elastomers, are easily deformed but essentially incompressible. Traditional linear theory of elasticity implements incompressibility only to first order and thus…

Soft Condensed Matter · Physics 2015-06-22 J. S. Biggins , Z. Wei , L. Mahadevan

We derive the incremental equations for a hyperelastic solid that incorporate surface tension effect by assuming that the surface energy is a general function of the surface deformation gradient. The incremental equations take the same…

Soft Condensed Matter · Physics 2024-07-30 Xiang Yu , Yibin Fu

Aggregates consisting of submicron-sized cohesive dust grains are ubiquitous, and understanding the collisional behavior of dust aggregates is essential. It is known that low-speed collisions of dust aggregates result in either sticking or…

We report three-dimensional particle mechanics static calculations that predict the microstructure evolution during die-compaction of elastic spherical particles up to relative densities close to one. We employ a nonlocal contact…

Soft Condensed Matter · Physics 2016-08-03 Marcial Gonzalez , Alberto M. Cuitino