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Large scale molecular dynamics (MD) simulations are performed to study and to model the ejecta production from the dynamic fragmentation of shock-loaded metals under melt conditions. A generic 3D crystal in contact with vacuum containing…

Materials Science · Physics 2015-01-06 O. Durand , L. Soulard

In the paper (Goloveshkin and Myagkov 2014) we proposed a two-dimensional energy-based model of fragmentation of rapidly expanding cylinder under plane strain conditions. The model allowed one to estimate the average fragment length and the…

Classical Physics · Physics 2018-03-28 V. A. Goloveshkin , N. N. Myagkov

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

Fracture toughness is the material property characterizing resistance to failure. Predicting its value from the solid structure at the atomistic scale remains elusive, even in the simplest situations of brittle fracture. We report here…

Soft Condensed Matter · Physics 2024-10-30 Thuy Nguyen , Daniel Bonamy

Impact-induced fragmentation is a fundamental dissipative process in geosciences, yet its stochastic nature makes predicting debris evolution a persistent challenge. Here, we introduce a discrete element framework to resolve fragmentation…

Geophysics · Physics 2026-02-04 Alvaro Vergara , Sergio Palma , Raul Fuentes

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

A two-dimensional energy-based model of fragmentation of rapidly expanding cylinder under plane strain conditions is proposed. The model allows us to estimate the average fragment length and the number of fragments produced by ductile…

Materials Science · Physics 2017-09-27 V. A. Goloveshkin , N. N. Myagkov

We performed vertical and horizontal sandwich 2D brittle fragmentation experiments. The weighted mean fragment mass was scaled using the multiplicity $\mu$. The scaling exponent crossed over at $\log \mu_c \simeq -1.4$. In the small $\mu…

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

In this study, we experimentally investigated the time dependence of the statistical properties of two-dimensional drying crack patterns to determine the functional form of fragment size distribution. Experiments using a thin layer of a…

Soft Condensed Matter · Physics 2020-09-30 Shin-ichi Ito , Akio Nakahara , Satoshi Yukawa

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

In order to understand characteristics common to distributions which have both fractal and non-fractal scale regions in a unified framework, we introduce a concept of typical scale. We employ a model of 2d gravity modified by the $R^2$ term…

Statistical Mechanics · Physics 2014-10-13 Masahiro Anazawa , Atushi Ishikawa , Tadao Suzuki , Masashi Tomoyose

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

The close packing density of log-normal and bimodal distributed, surface-adsorbed particles or discs in 2D is studied by numerical simulation. For small spread in particle size, the system orders in a polycrystalline structure of hexagonal…

Soft Condensed Matter · Physics 2012-01-27 Robert D. Groot , Simeon D. Stoyanov

In recent paper (Goloveshkin and Myagkov 2014) we proposed a two-dimensional energy-based model of fragmentation of rapidly expanding cylinder under plane strain conditions. The model allowed one to estimate the average fragment length and…

Soft Condensed Matter · Physics 2016-09-23 V. A. Goloveshkin , N. N. Myagkov

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 analyze the failure process of a two-component system with widely different fracture strength in the framework of a fiber bundle model with localized load sharing. A fraction 0\leq \alpha \leq 1 of the bundle is strong and it is…

Disordered Systems and Neural Networks · Physics 2013-10-08 K. Kovacs , R. C. Hidalgo , I. Pagonabarraga , F. Kun

Most of the research concerting crack propagation in discrete media is concerned with specific types of external loading: displacements on the boundaries, or constant energy fluxes or feeding waves originating from infinity. In this paper…

Soft Condensed Matter · Physics 2017-08-03 Nikolai Gorbushin , Gennady Mishuris

In this letter we address the fragmentation of thin, brittle layers due to the impact of high-velocity projectiles. Our approach is a geometric statistical one, with lines and circles playing the role of cracks, randomly distributed over…

Soft Condensed Matter · Physics 2014-09-30 Rebeca C. Falcão , Fernando Parisio

The fractal structure of spin clusters and their boundaries in the critical two-dimensional (2D) Ising model is investigated numerically. The fractal dimensions of these geometrical objects are estimated by means of Monte Carlo simulations…

Statistical Mechanics · Physics 2009-11-10 Wolfhard Janke , Adriaan M. J. Schakel

We investigate the approach to catastrophic failure in a model porous granular material undergoing uniaxial compression. A discrete element computational model is used to simulate both the micro-structure of the material and the complex…

Disordered Systems and Neural Networks · Physics 2014-02-27 F. Kun , I. Varga , S. Lennartz-Sassinek , I. G. Main