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Related papers: New universality class for the fragmentation of pl…

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Fragmentation can be observed in nature and in everyday life on a wide range of length scales and for all kinds of technical applications. Most studies on dynamic failure focus on the behaviour of bulk systems in one, two and three…

Soft Condensed Matter · Physics 2015-10-02 Falk K. Wittel , Ferenc Kun , Hans J. Herrmann , Bernd H. Kröplin

The most important characteristics of the fragmentation of heterogeneous solids is that the mass (size) distribution of pieces is described by a power law functional form. The exponent of the distribution displays a high degree of…

Disordered Systems and Neural Networks · Physics 2015-03-10 Gergo Pal , Imre Varga , Ferenc Kun

We present a simple numerical model for investigating the general properties of fragmentation. By use of molecular dynamics simulations, we study the impact fragmentation of a solid disk of interacting particles with a wall. Regardless of…

Statistical Mechanics · Physics 2009-11-13 N. Sator , S. Mechkov , F. Sausset

We present a theoretical and experimental study of the fragmentation of closed thin shells made of a disordered brittle material. Experiments were performed on brown and white hen egg-shells under two different loading conditions: impact…

Disordered Systems and Neural Networks · Physics 2011-03-28 Falk Wittel , Ferenc Kun , Hans J. Herrman , Bernt H. Kroplin

We investigate the fragmentation process of solid materials with crystalline and amorphous phases using the discrete element method. Damage initiates inside spherical samples above the contact zone in a region where the circumferential…

We investigate the fragmentation of ring-like brittle structures under explosive loading using a discrete element model. By systematically varying ring thickness and strain rate, we uncover a transition from one-dimensional (1D)…

Disordered Systems and Neural Networks · Physics 2025-08-01 Csanád Szuszik , Ferenc Kun

The brittle fragmentation of spheres is studied numerically by a 3D Discrete Element Model. Large scale computer simulations are performed with models that consist of agglomerates of many spherical particles, interconnected by beam-truss…

Materials Science · Physics 2015-09-04 Falk K. Wittel , Humberto A. Carmona , Ferenc Kun , Hans J. Herrmann

Plastic yield of amorphous solids occurs by power law distributed slip avalanches whose universality is still debated. Determination of the power law exponents from experiments and molecular dynamics simulations is hampered by limited…

The fragmentation of a two-dimensional circular disc by lateral impact is investigated using a cell model of brittle solid. The disc is composed of numerous unbreakable randomly shaped convex polygons connected together by simple elastic…

Disordered Systems and Neural Networks · Physics 2007-05-23 Bhupalendra Behera , Ferenc Kun , Sean McNamara , Hans J. Herrmann

We study the brittle fragmentation of spheres by using a three-dimensional Discrete Element Model. Large scale computer simulations are performed with a model that consists of agglomerates of many particles, interconnected by beam-truss…

Statistical Mechanics · Physics 2009-11-13 H. A. Carmona , F. K. Wittel , F. Kun , H. J. Herrmann

A theoretical and experimental study of the fragmentation of closed thin shells made of a disordered brittle material is presented. Experiments were performed on brown and white hen egg-shells under two different loading conditions:…

Statistical Mechanics · Physics 2011-03-28 F. K. Wittel , F. Kun , H. J. Herrmann , B. -H. Kroeplin

We investigated two-dimensional brittle fragmentation with a flat impact experimentally, focusing on the low impact energy region near the fragmentation-critical point. We found that the universality class of fragmentation transition…

Statistical Mechanics · Physics 2007-05-23 Hiroaki Katsuragi , Daisuke Sugino , Haruo Honjo

A simple fragmentation model is introduced and analysed. We show that, under very general conditions, an effective power law for the mass distribution arises with realistic exponent. This exponent has a universal limit, but in practice the…

Condensed Matter · Physics 2009-10-28 M. Marsili , Y. -C. Zhang

We present a model of solids made from polygonal cells connected via beams. We calculate the macroscopic elastic moduli from the beam and cell parameters. This modellisation is particularly suited for the simulation of fragmentation…

Condensed Matter · Physics 2015-06-25 Ferenc Kun , Hans J. Herrmann

A bonded particle model is used to explore how variations in the material properties of brittle, isotropic solids affect critical behavior in fragmentation. To control material properties, a new model is proposed which includes breakable…

Soft Condensed Matter · Physics 2023-09-14 Joel T. Clemmer , Mark O. Robbins

This study experimentally examined the explosive fragmentation of thin ceramic tubes using pulsed power. A thin ceramic tube was threaded on a thin copper wire, and high voltage was applied to the wire using a pulsed power generator. This…

Statistical Mechanics · Physics 2007-05-23 Hiroaki Katsuragi , Satoshi Ihara , Haruo Honjo

We present a systematic investigation of the distribution of normal forces at the boundaries of static packings of spheres. A new method for the efficient construction of large hexagonal-close-packed crystals is introduced and used to study…

Soft Condensed Matter · Physics 2009-10-31 Daniel L. Blair , Nathan W. Mueggenburg , Adam H. Marshall , Heinrich M. Jaeger , Sidney R. Nagel

We study the fragment size distributions after crushing of single and many particles under uniaxial compression inside a cylindrical container by means of numerical simulations. Under the assumption that breaking goes through the bulk of…

Soft Condensed Matter · Physics 2019-01-16 Pavel S. Iliev , Falk K. Wittel , Hans J. Herrmann

We study the geometry of forces in some simple models for granular stackings. The information contained in geometry is complementary to that in the distribution of forces in a single inter-particle contact, which is more widely studied. We…

Statistical Mechanics · Physics 2007-05-23 Srdjan Ostojic , Bernard Nienhuis

The dynamic fragmentation of residually stressed solids involves a complex interplay between stored elastic energy, stress wave propagation, and crack instabilities. In this work, we investigate the fracture mechanics of chemically…

Soft Condensed Matter · Physics 2026-02-25 Vineet Dawara , Koushik Viswanathan
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