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We study propagating mode-I fracture in two dimensional amorphous materials using atomistic simulations. We used the continuous random network (CRN) model of an amorphous material, creating samples using a two dimensional analogue of the…

Materials Science · Physics 2015-05-20 Shay I Heizler , David A. Kessler , Herbert Levine

Collisional fragmentation is a ubiquitous phenomenon arising in a variety of astrophysical systems, from asteroid belts to debris and protoplanetary disks. Numerical studies of fragmentation typically rely on discretizing the size…

Earth and Planetary Astrophysics · Physics 2020-04-15 Roman R. Rafikov , Kedron Silsbee , Richard A. Booth

We investigate classical scattering off a harmonically oscillating target in two spatial dimensions. The shape of the scatterer is assumed to have a boundary which is locally convex at any point and does not support the presence of any…

Using an elastostatic description of crack growth based on the Griffith criterion and the principle of local symmetry, we present a stochastic model describing the propagation of a crack tip in a 2D heterogeneous brittle material. The model…

Materials Science · Physics 2007-05-23 E. Katzav , M. Adda-Bedia , B. Derrida

The complex configurations of dynamic friction patterns-regarding real time contact areas- are transformed into appropriate networks. With this transformation of a system to network space, many properties can be inferred about the structure…

Geophysics · Physics 2014-01-03 H. O. Ghaffari , R. P. Young

We present a jamming diagram for 2D bidisperse granular systems, capturing two distinct jamming transitions. The first occurs as large particles form a jammed structure, while the second, emerging at a critical small-particle concentration,…

Soft Condensed Matter · Physics 2025-05-20 Juan C. Petit , Matthias Sperl

We study the failure properties of fiber bundles with a finite lower cutoff of the strength disorder varying the range of interaction between the limiting cases of completely global and completely local load sharing. Computer simulations…

Statistical Mechanics · Physics 2009-11-11 Frank Raischel , Ferenc Kun , Hans J. Herrmann

I review the status of next-to-leading-order calculations for hadronic final states in deeply-inelastic lepton--nucleon scattering. In more detail, I focus on calculations of (2+1)-jet-type cross sections, describe recent progress in…

High Energy Physics - Phenomenology · Physics 2008-11-26 Dirk Graudenz

While crack nucleation and propagation in the brittle or quasi-brittle regime can be predicted via variational or material-force-based phase field fracture models, these models often assume that the underlying elastic response of the…

Computational Engineering, Finance, and Science · Computer Science 2020-08-13 Hyoung Suk Suh , WaiChing Sun , Devin O'Connor

A directed polymer is allowed to branch, with configurations determined by global energy optimization and disorder. A finite size scaling analysis in 2D shows that, if disorder makes branching more and more favorable, a critical transition…

Statistical Mechanics · Physics 2016-08-31 Giovanni Sartoni , Attilio L. Stella

Molecular dynamics simulations with varying damping are used to examine the effects of inertia and spatial dimension on sheared disordered solids in the athermal, quasistatic limit. In all cases the distribution of avalanche sizes follows a…

Soft Condensed Matter · Physics 2015-03-17 K. Michael Salerno , Mark O. Robbins

We consider dense random packing of disks with a power-law distribution of radii and investigate their correlation properties. We study the corresponding structure factor, mass-radius relation and pair distribution function of the disk…

Soft Condensed Matter · Physics 2023-01-26 Alexander Yu. Cherny , Eugen M. Anitas , Vladimir A. Osipov

We propose a one-dimensional, nonconvex elastic constitutive model with higher gradients that can predict spontaneous fracture at a critical load via a bifurcation analysis. It overcomes the problem of discontinuous deformations without…

Analysis of PDEs · Mathematics 2021-03-17 Phoebus Rosakis , Timothy J. Healey , Ugur Alyanak

Impacted with sufficiently large stress, a dense, initially liquid-like suspension can be forced into a solid-like state through the process of shear jamming. While the onset of shear jamming has been investigated extensively, less is known…

Soft Condensed Matter · Physics 2025-11-25 Malcolm Slutzky , Alice Pelosse , Michael van der Naald , Heinrich M. Jaeger

We develop a model in the framework of nuclear fragmentation at thermodynamic equilibrium which can be mapped onto an Ising model with constant magnetization. We work out the thermodynamic properties of the model as well as the properties…

Nuclear Theory · Physics 2009-10-31 J. M. Carmona , J. Richert , A. Tarancon

Traditional computational approaches in simulating crack propagation in perfectly brittle materials rely on the estimate of stress intensity factors along the rupture front. This proves highly challenging in 3D when the crack geometry…

Materials Science · Physics 2023-06-27 Mathias Lebihain , Manish Vasoya , Véronique Lazarus

We study size effects in the fracture strength of notched disordered samples using numerical simulations of lattice models for fracture. In particular, we consider the random fuse model, the random spring model and the random beam model,…

Materials Science · Physics 2008-04-15 Mikko J. Alava , Phani K. V. V. Nukala , Stefano Zapperi

In this contribution, a variational diffuse modeling framework for cracks in heterogeneous media is presented. A static order parameter smoothly bridges the discontinuity at material interfaces, while an evolving phase-field captures the…

Materials Science · Physics 2021-04-07 Arne Claus Hansen-Dörr , Jörg Brummund , Markus Kästner

We study the crackling noise emerging during single crack propagation in a specimen under three-point bending conditions. Computer simulations are carried out in the framework of a discrete element model where the specimen is discretized in…

Disordered Systems and Neural Networks · Physics 2011-04-28 Gabor Timar , Ferenc Kun

We study a stochastic model based on a modified fragmentation of a finite interval. The mechanism consists in cutting the interval at a random location and substituting a unique fragment on the right of the cut to regenerate and preserve…

Statistical Mechanics · Physics 2018-04-25 Jean-Yves Fortin