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Related papers: Jammed frictional tetrahedra are hyperstatic

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The quasistatic behavior of a simple 2D model of a cohesive powder under isotropic loads is investigated by Discrete Element simulations. The loose packing states, as studied in a previous paper, undergo important structural changes under…

Materials Science · Physics 2008-10-27 Francisco Gilabert , Jean-Noël Roux , Antonio Castellanos

We study how solidification of model freely rotating polymers under athermal quasistatic compression varies with their bond angle $\theta_0$. All systems undergo two discrete, first-order-like transitions: entanglement at $\phi =…

Soft Condensed Matter · Physics 2020-05-01 Joseph D. Dietz , Robert S. Hoy

The local structure of disordered jammed packings of monodisperse spheres without friction, generated by the Lubachevsky-Stillinger algorithm, is studied for packing fractions above and below 64%. The structural similarity of the particle…

Soft Condensed Matter · Physics 2015-06-04 Sebastian C. Kapfer , Walter Mickel , Klaus Mecke , Gerd E. Schröder-Turk

We study more than $10^4$ random aggregates of $10^6$ monodisperse sticky hard spheres each, generated by various static algorithms. Their packing fraction varies from 0.370 up to 0.593. These aggregates are shown to be based on two types…

Disordered Systems and Neural Networks · Physics 2019-09-30 M. Blétry , V. Russier , E. Barbé , J. Blétry

We model the quasicrystal-related structure CaCd$_6$, a bcc packing of icosahedral clusters containing tetrahedra which undergo orientational orderings at T<100 K. We use general schemes to evaluate an effective Hamltonian for…

Materials Science · Physics 2012-12-24 Woosong Choi , Christopher L. Henley , Marek Mihalkovic

The problem of a general, symmetric contact, between elastically similar bodies, and capable of idealisation using half-plane theory, is studied in the presence of interfacial friction. It is subject to a constant set of loads - normal…

Soft Condensed Matter · Physics 2019-04-01 Hendrik Andresen , David A. Hills , James R. Barber , Jesus Vazquez

The phase behavior of helical packings of thermoresponsive microspheres inside glass capillaries is studied as a function of volume fraction. Stable packings with long-range orientational order appear to evolve abruptly to disordered states…

Soft Condensed Matter · Physics 2010-04-14 Matthew A. Lohr , Ahmed M. Alsayed , Bryan G. Chen , Zexin Zhang , Randall D. Kamien , Arjun G. Yodh

We present the first study of disordered jammed hard-sphere packings in four-, five- and six-dimensional Euclidean spaces. Using a collision-driven packing generation algorithm, we obtain the first estimates for the packing fractions of the…

Statistical Mechanics · Physics 2009-11-11 M. Skoge , A. Donev , F. H. Stillinger , S. Torquato

Jammed packings' mechanical properties depend sensitively on their detailed local structure. Here we provide a complete characterization of the pair correlation close to contact and of the force distribution of jammed frictionless spheres.…

Statistical Mechanics · Physics 2012-11-15 Patrick Charbonneau , Eric I. Corwin , Giorgio Parisi , Francesco Zamponi

The isostatic jamming limit of frictionless spherical particles from Edwards' statistical mechanics [Song \emph{et al.}, Nature (London) {\bf 453}, 629 (2008)] is generalized to arbitrary dimension $d$ using a liquid-state description. The…

Statistical Mechanics · Physics 2010-11-29 Yuliang Jin , Patrick Charbonneau , Sam Meyer , Chaoming Song , Francesco Zamponi

We numerically study the structure of the interactions occurring in three-dimensional systems of hard spheres at jamming, focusing on the large-scale behavior. Given the fundamental role they play in the configuration of jammed packings, we…

Soft Condensed Matter · Physics 2021-07-15 Paolo Rissone , Eric I. Corwin , Giorgio Parisi

We investigate contact angle hysteresis on chemically patterned and superhydrophobic surfaces, as the drop volume is quasi-statically increased and decreased. We consider both two, and three, dimensions using analytical and numerical…

Soft Condensed Matter · Physics 2008-03-12 H. Kusumaatmaja , J. M. Yeomans

We present a numerical investigation of the size scaling of static friction in incommensurate two dimensional contacts performed for different lateral loading configurations. Results of model simulations show that both the absolute value of…

Mesoscale and Nanoscale Physics · Physics 2018-05-02 Davide Mandelli , Roberto Guerra , Wengen Ouyang , Michael Urbakh , Andrea Vanossi

Equal volume mixtures of small and large polytetrafluorethylene (PTFE) spheres are shaken in an atmosphere of controlled humidity which allows to also control their tribo-charging. We find that the contact numbers are charge-dependent: as…

Soft Condensed Matter · Physics 2017-06-21 Andre Schella , Simon Weis , Matthias Schroeter

The packing and flow of aspherical frictional particles are studied using discrete element simulations. Particles are superballs with shape $|x|^{s}+|y|^{s}+|z|^{s} = 1$ that varies from sphere ($s=2$) to cube ($s=\infty$), constructed with…

The determination of the densest packings of regular tetrahedra (one of the five Platonic solids) is attracting great attention as evidenced by the rapid pace at which packing records are being broken and the fascinating packing structures…

Statistical Mechanics · Physics 2010-01-02 S. Torquato , Y. Jiao

Metal crystals with tetrahedral packing are known as Frank-Kasper phases with large unit cells with the number of atoms from hundreds to thousands. The main factors of the formation and stability of these phases are the atomic size ratio…

Materials Science · Physics 2017-11-29 Valentina F Degtyareva , Natalia S Afonikova

We probe the onset and effect of contact changes in soft harmonic particle packings which are sheared quasistatically. We find that the first contact changes are the creation or breaking of contacts on a single particle. We characterize the…

Contact breaking and Hertzian interactions between grains can both give rise to nonlinear vibrational response of static granular packings. We perform molecular dynamics simulations at constant energy in 2D of frictionless bidisperse disks…

Soft Condensed Matter · Physics 2014-04-03 Carl F. Schreck , Corey S. O'Hern , Mark D. Shattuck

We present measurements of the stress response of packings formed from a wide range of particle shapes. Besides spheres these include convex shapes such as the Platonic solids, truncated tetrahedra, and triangular bipyramids, as well as…

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