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We present an experimental and theoretical study of the shape of fragments generated by explosive and impact loading of closed shells. Based on high speed imaging, we have determined the fragmentation mechanism of shells. Experiments have…

Disordered Systems and Neural Networks · Physics 2011-03-28 F. Kun , F. K. Wittel , H. J. Herrmann , B. H. Kroplin , K. J. Maloy

A statistical model of fragmentation of aggregates is proposed, based on the stochastic propagation of cracks through the body. The propagation rules are formulated on a lattice and mimic two important features of the process -- a crack…

Statistical Mechanics · Physics 2014-10-15 F. Spahn , E. V. Neto , A. H. F. Guimaraes , A. N. Gorban , N. V. Brilliantov

Cohesive particles form agglomerates that are usually very porous. Their geometry, particularly their fractal dimension, depends on the agglomeration process (diffusion-limited or ballistic growth by adding single particles or…

Soft Condensed Matter · Physics 2023-12-07 Dietrich E. Wolf , Thorsten Pöschel

The way granular materials response to an applied shear stress is of the utmost relevance to both human activities and natural environment. One of the their most intriguing and less understood behavior, is the stick-instability, whose most…

Soft Condensed Matter · Physics 2018-11-07 Andrea Baldassarri , Mario A. Annunziata , Andrea Gnoli , Giorgio Pontuale , Alberto Petri

The role of grain size in determining fracture toughness in metals is incompletely understood with apparently contradictory experimental observations. We study this grain-size dependence computationally by building a model that combines the…

Materials Science · Physics 2025-07-01 Jean-Michel Scherer , Mythreyi Ramesh , Blaise Bourdin , Kaushik Bhattacharya

Processes of coalescence and fragmentation are used to understand the time-evolution of the mass distribution of various systems and may result in a steady state or in stable deterministic or stochastic cycles. Motivated by applications in…

Other Condensed Matter · Physics 2023-10-09 Brennen T. Fagan , Niall J. MacKay , A. Jamie Wood

The flow of frictionless granular particles is studied with stress-controlled discrete element modeling simulations for systems varying in size from 300 to 100,000 particles. The volume fraction and shear stress ratio $\mu$ are relatively…

Soft Condensed Matter · Physics 2022-01-12 A. P. Santos , Ishan Srivastava , Leonardo E. Silbert , Jeremy B. Lechman , Gary S. Grest

Nearly all dense suspensions undergo dramatic and abrupt thickening transitions in their flow behaviour when sheared at high stresses. Such transitions occur when the dominant interactions between the suspended particles shift from…

A model which accounts for cracking avalanches in piles of grains subject to external load is introduced and numerically simulated. The stress is stochastically transferred from higher layers to lower ones. Cracked areas exhibit various…

Disordered Systems and Neural Networks · Physics 2009-10-31 Frantisek Slanina

We study fracture processes within a stochastic fiber-bundle model where it is assumed that after the failure of a fiber, each intact fiber obtains a random fraction of the failing load. Within a Markov approximation, the breakdown…

Materials Science · Physics 2013-03-27 Jörg Lehmann , Jakob Bernasconi

Hydrated granular packings often crack into discrete clusters of grains when dried. Despite its ubiquity, accurate prediction of cracking remains elusive. Here, we elucidate the previously overlooked role of individual grain shrinkage---a…

Soft Condensed Matter · Physics 2022-06-07 H. Jeremy Cho , Sujit S. Datta

We investigate how the macroscopic response and the size scaling of the ultimate strength of materials change when their local strength is sampled from a fat-tailed distribution and the degree of disorder is varied in a broad range. Using…

Disordered Systems and Neural Networks · Physics 2023-07-26 Zsuzsa Danku , Gergő Pál , Ferenc Kun

We analyze the fragmentation behavior of random clusters on the lattice under a process where bonds between neighboring sites are successively broken. Modeling such structures by configurations of a generalized Potts or random-cluster model…

Statistical Mechanics · Physics 2016-08-08 Eren Metin Elçi , Martin Weigel , Nikolaos G. Fytas

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

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

The evolution of occupied volume under progressive fragmentation of granular matter is studied using a purely geometric model. Rather than modelling disorder directly, properties are investigated by analysing highly ordered reference…

Soft Condensed Matter · Physics 2026-03-25 Malkhazi A. Meladze

The plastic flow of a polycrystal is analyzed assuming grains as fine that the rate limiting process is grain boundary sliding, and grains readily accommodate their shapes by slip to preserve spatial continuity. It is shown that thinking of…

Materials Science · Physics 2009-11-19 Miguel Lagos , César Retamal

During plastic deformation of granular materials due to loading, the stress-strain and strength characteristics of sand grains are influenced with grain size, their distribution and packing. Also the macroscopic behaviour of granular…

Geophysics · Physics 2019-08-22 M. N. Islam , A. Siddika , M. B. Hossain , A. Rahman , M. A Asad

We use a model whose rules were inspired by population genetics, the random capability growth model, to describe the statistical details observed in experiments of fragmentation of brittle platelike objects, and in particular the existence…

Statistical Mechanics · Physics 2016-12-21 M. A. F. Gomes , Viviane M. de Oliveira

In established theories of grain coarsening, grains disappear either by shrinking or by rotating as a rigid object to coalesce with an adjacent grain. Here we report a third mechanism for grain coarsening, in which a grain splits apart into…