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A device for absorbing and storing short duration impulses in an initially uncompressed one-dimensional granular chain is presented. Simply stated, short regions of sufficiently soft grains are embedded in a hard granular chain. These…

Computational Physics · Physics 2016-01-13 Michelle A. Przedborski , Thad A. Harroun , Surajit Sen

The study of granular crystals, metamaterials that consist of closely packed arrays of particles that interact elastically, is a vibrant area of research that combines ideas from disciplines such as materials science, nonlinear dynamics,…

Pattern Formation and Solitons · Physics 2017-10-11 C. Chong , Mason A. Porter , P. G. Kevrekidis , C. Daraio

We present here a detailed numerical study of the dynamical behaviour of `soft' uncompressed grains in a granular chain where the grains interact via the intrinsically nonlinear Hertz force. It is well known that such a chain supports the…

Computational Physics · Physics 2015-07-07 Michelle Przedborski , Thad A. Harroun , Surajit Sen

Small-scale clumps of dark matter are gravitationally bounded structures that have masses comparable to or lower than stellar masses and consist of noninteracting or weakly interacting dark matter particles. In this paper, the current…

High Energy Astrophysical Phenomena · Physics 2014-05-12 V. S. Berezinsky , V. I. Dokuchaev , Yu. N. Eroshenko

Discrete element (DEM) simulations demonstrate that granular materials are non-simple, meaning that the incremental stiffness of a granular assembly depends on the gradients of the strain increment as well as on the strain increment itself.…

Soft Condensed Matter · Physics 2018-12-20 Matthew R. Kuhn , Ching S. Chang

A granular metal is an array of metallic nano-particles imbedded into an insulating matrix. Tuning the intergranular coupling strength a granular system can be transformed into either a good metal or an insulator and, in case of…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 I. S. Beloborodov , K. B. Efetov , A. V. Lopatin , V. M. Vinokur

Nanocrystalline metals, i.e. metals with grain sizes from 5 to 50 nm, display technologically interesting properties, such as dramatically increased hardness, increasing with decreasing grain size. Due to the small grain size, direct…

Materials Science · Physics 2009-10-31 J. Schiøtz , T. Vegge , K. W. Jacobsen

Granular materials are ubiquitous in our daily lives. While they have been a subject of intensive engineering research for centuries, in the last decade granular matter attracted significant attention of physicists. Yet despite a major…

Soft Condensed Matter · Physics 2009-11-11 Igor S. Aranson , Lev S. Tsimring

We study particle-scale motion in sheared highly polydisperse amorphous materials, in which the largest particles are as much as ten times the size of the smallest. We find strikingly different behavior from the more commonly studied…

Soft Condensed Matter · Physics 2023-11-14 Yonglun Jiang , Daniel M. Sussman , Eric R. Weeks

Dense suspensions of fine particles are significant in numerous biological, industrial, and natural phenomena. They also provide an ideal tool to develop statistical mechanics description for out-of-equilibrium systems. Predicting the bulk…

Soft Condensed Matter · Physics 2023-05-24 Abhinendra Singh

Dense granular media have a compaction between the random loose and random close packings. For these dense media the concept of a granular pressure depending on compaction is not unanimously accepted because they are often in a "frozen"…

Materials Science · Physics 2016-08-16 Christophe Josserand , Pierre-Yves Lagrée , Daniel Lhuillier

The shape of materials is often subject to a number of geometric constraints that limit the size of the system or fix the structure of its boundary. In soft and biological materials, however, these constraints are not always hard, but are…

Soft Condensed Matter · Physics 2013-10-09 Luca Giomi

Granular media such as sand and sugar are ubiquitous in nature and industry but are less well understood than fluids or solids. We consider the behavior of rapid granular flows where the transfer of momenta by collisions dominates. The…

Soft Condensed Matter · Physics 2009-09-29 Harry L. Swinney , E. C. Rericha

Granular materials are complex multi-particle ensembles in which macroscopic properties are largely determined by inter-particle interactions between their numerous constituents. In order to understand and to predict their macroscopic…

The weak form is a ubiquitous, well-studied, and widely-utilized mathematical tool in modern computational and applied mathematics. In this work we provide a survey of both the history and recent developments for several fields in which the…

Machine Learning · Computer Science 2024-09-12 Daniel A. Messenger , April Tran , Vanja Dukic , David M. Bortz

The mechanical properties of soft matter are of great importance in countless applications, in addition of being an active field of academic research. Given the relative ease with which soft materials can be deformed, their non-linear…

Soft Condensed Matter · Physics 2020-05-25 Luca Cipelletti , Kirsten Martens , Laurence Ramos

Soft, amorphous solids such as tissues, foams, and emulsions are composed of deformable particles. However, the effect of single-particle deformability on the collective behavior of soft solids is still poorly understood. We perform…

Soft Condensed Matter · Physics 2021-06-02 John D. Treado , Dong Wang , Arman Boromand , Michael P. Murrell , Mark D. Shattuck , Corey S. O'Hern

The penetration by a gravity driven impact of a solid sphere into a granular medium is studied by two-dimensional simulations. The scaling laws observed experimentally for both the final penetration depth and the stopping time with the…

Soft Condensed Matter · Physics 2012-12-24 Antoine Seguin , Yann Bertho , Philippe Gondret , Jerome Crassous

We study the Poisson Boolean model where the grains are random convex bodies with a rotation-invariant distribution. We say that a grain distribution is dense if the union of the grains covers the entire space and robust if the union of the…

Probability · Mathematics 2024-10-18 Peter Gracar , Marilyn Korfhage , Peter Mörters

Granular materials often present correlations between particle size and shape due to their geological formation and mechanisms of weathering and fragmentation. It is known that particle shape strongly affects shear strength. However, the…

Soft Condensed Matter · Physics 2022-03-14 Sergio Carrasco , David Cantor , Carlos Ovalle