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The properties of a particle diffusing on a one-dimensional lattice where at each site a random barrier and a random trap act simultaneously on the particle are investigated by numerical and analytical techniques. The combined effect of…

凝聚态物理 · 物理学 2009-10-28 Achille Giacometti , K. P. N. Murthy

This article reports results concerning the fracture of a 2d triangular lattice of atoms linked by springs. The lattice is submitted to controlled strain tests and the influence of both porosity and temperature on failure is investigated.…

经典物理 · 物理学 2007-05-23 Harold Auradou , Maria Zei , Elisabeth Bouchaud

Architected materials can exhibit remarkable combinations of stiffness, strength, and toughness, yet their application is currently limited by an incomplete understanding of how cracks initiate and propagate through their discrete…

软凝聚态物质 · 物理学 2026-04-24 Alessandra Lingua , Arturo Chao Correas , François Hild , David S. Kammer

In this paper, we present a 2D numerical model developed to simulate the dynamics of soft, deformable particles. To accommodate significant particle deformations, the particle surface is represented as a narrow shell composed of mass points…

计算物理 · 物理学 2025-04-01 Yohann Trivino , Vincent Richefeu , Farhang Radjai , Komlanvi Lampoh , Jean-Yves Delenne

The problem of the lattice diffusion of two particles coupled by a contact repulsive interaction is solved by finding analytical expressions of the two-body probability characteristic function. The interaction induces anomalous drift with a…

凝聚态物理 · 物理学 2009-10-31 Claude Aslangul

A one-dimensional driven diffusive system with two types of particles and nearest neighbors interactions has been considered on a finite lattice with open boundaries. The particles can enter and leave the system from both ends of the…

统计力学 · 物理学 2009-11-11 Farhad H. Jafarpour

We study quasi-static deformation of dense granular packings. The packing is deformed by imposing external boundary conditions, which model engineering experiments such as shear and compression. We propose a two-dimensional network model of…

最优化与控制 · 数学 2007-05-23 K. A. Ariyawansa , Leonid Berlyand , Alexander Panchenko

We propose a novel model for the shear failure of a glued interface between two solid blocks. We model the interface as an array of elastic beams which experience stretching and bending under shear load and break if the two deformation…

材料科学 · 物理学 2015-06-25 F. Raischel , F. Kun , H. J. Herrmann

The transition from static to dynamic friction when an elastic body is slid over another is now known to result from the motion of interface rupture fronts. These fronts may be either crack-like or pulse-like, with the latter involving…

软凝聚态物质 · 物理学 2024-03-06 Vineet Dawara , Koushik Viswanathan

We present results on tagged particle diffusion in a meso-scale lattice model for sheared amorphous material in athermal quasi-static conditions. We find a short time diffusive regime and a long time diffusive regime whose diffusion…

软凝聚态物质 · 物理学 2018-10-10 Botond Tyukodi , Craig E Maloney , Damien Vandembroucq

In this paper we propose a continuum variational model for a two-dimensional deformable lattice of atoms interacting with a two-dimensional rigid lattice. The two lattices have slightly different lattice parameters and there is a small…

材料科学 · 物理学 2018-04-04 Malena I. Español , Dmitry Golovaty , J. Patrick Wilber

Highly-deformable materials, from synthetic hydrogels to biological tissues, are becoming increasingly important from both fundamental and practical perspectives. Their mechanical behaviors, in particular the dynamics of crack propagation…

材料科学 · 物理学 2015-06-09 Tamar Goldman Boué , Roi Harpaz , Jay Fineberg , Eran Bouchbinder

The systematic errors due to the practical implementation of the Contact Dynamics method for simulation of dense granular media are examined. It is shown that, using the usual iterative solver to simulate a chain of rigid particles,…

软凝聚态物质 · 物理学 2009-11-07 Tamas Unger , Lothar Brendel , Dietrich E. Wolf , Janos Kertesz

This work presents a general thermodynamic approach to describe particle diffusion on a lattice, a model used to study transport processes in solids and on surfaces. By treating each lattice site as an open thermodynamic system, the effects…

统计力学 · 物理学 2026-05-05 Matías A. Di Muro , Miguel Hoyuelos

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…

软凝聚态物质 · 物理学 2024-10-30 Thuy Nguyen , Daniel Bonamy

Linear Elastic Fracture Mechanics (LEFM) provides a consistent framework to evaluate quantitatively the energy flux released to the tip of a growing crack. Still, the way in which the crack selects its velocity in response to this energy…

材料科学 · 物理学 2016-02-26 Davy Dalmas , Claudia Guerra , Julien Scheibert , Daniel Bonamy

Two models for quasistatic adhesive unilateral contact delaminating in mixed fracture mode, i.e. distinguishing the less-dissipative Mode I (opening) from the more-dissipative Mode II (shearing), and allowing rigorous mathematical and…

数值分析 · 数学 2015-12-01 Christos G. Panagiotopoulos , Vladislav Mantic , Tomas Roubicek

We introduce a numerical method for investigating interfacial flows coupled with frictional solid particles. Our method combines the lattice Boltzmann method (LBM) to model the dynamics of a two-component fluid and the discrete element…

流体动力学 · 物理学 2025-05-16 Abhinav Naga , Xitong Zhang , Junyu Yang , Halim Kusumaatmaja

The paper addresses the problem of a Mode III interfacial crack advancing quasi-statically in a heterogeneous composite material, that is a two-phase material containing elastic inclusions, both soft and stiff, and defects, such as…

数学物理 · 物理学 2011-10-25 Andrea Piccolroaz , Gennady Mishuris , Alexander Movchan , Natasha Movchan

We have developed a simulation technique that uses non-linear finite element analysis and elastic fracture mechanics to compute physically plausible motion for three-dimensional, solid objects as they break, crack, or tear. When these…

图形学 · 计算机科学 2023-03-21 James F. O'Brien , Jessica K. Hodgins