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Related papers: Depinning of a discrete elastic string from a two …

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We investigate the depinning transition occurring in dislocation assemblies. In particular, we consider the cases of regularly spaced pileups and low angle grain boundaries interacting with a disordered stress landscape provided by solute…

Statistical Mechanics · Physics 2009-11-10 Paolo Moretti , M. -Carmen Miguel , Michael Zaiser , Stefano Zapperi

We study a generalization of the standard trapping problem of random walk theory in which particles move subdiffusively on a one-dimensional lattice. We consider the cases in which the lattice is filled with a one-sided and a two-sided…

Statistical Mechanics · Physics 2007-05-23 S. B. Yuste , L. Acedo

We study the mechanics and statistical physics of dislocations interacting on cylinders, motivated by the elongation of rod-shaped bacterial cell walls and cylindrical assemblies of colloidal particles subject to external stresses. The…

Soft Condensed Matter · Physics 2013-05-15 Ariel Amir , Jayson Paulose , David R. Nelson

Elastic constants are among the most fundamental and important properties of solid materials, which is why they are routinely characterized in both experiments and simulations. While conceptually simple, the treatment of elastic constants…

Materials Science · Physics 2023-08-01 Jan Grießer , Lucas Frérot , Jonas A. Oldenstaedt , Martin H. Müser , Lars Pastewka

Constitutive modeling of dielectric elastomers has been of long standing interest in mechanics. Over the last two decades rigorous constitutive models have been developed that couple the electrical response of these polymers with large…

Soft Condensed Matter · Physics 2021-10-19 Matthew Grasinger , Kaushik Dayal , Gal deBotton , Prashant K. Purohit

The transformation theory of optics and acoustics is developed for the equations of linear anisotropic elasticity. The transformed equations correspond to non-unique material properties that can be varied for a given transformation by…

Materials Science · Physics 2011-06-28 A. N. Norris , A. L. Shuvalov

Diffusion of colloidal particles in a complex environment such as polymer networks or biological cells is a topic of high complexity with significant biological and medical relevance. In such situations, the interaction between the…

Statistical Mechanics · Physics 2015-11-10 Andreas M. Menzel

The main idea in the present work is the definition of an experimental proposal for the detection of the number of extra{compact dimensions contained as a core feature in String Theory. This goal will be achieved as a consequence of the…

General Relativity and Quantum Cosmology · Physics 2017-07-26 Sergio Gutiérrez , Abel Camacho , Héctor Hernández

We investigate the electromechanical coupling in 2d materials. For non-Bravais lattices, we find important corrections to the standard macroscopic strain - microscopic atomic-displacement theory. We put forward a general and systematic…

Mesoscale and Nanoscale Physics · Physics 2016-02-03 Daniel Midtvedt , Caio H. Lewenkopf , Alexander Croy

We investigate numerically the relaxation dynamics of an elastic string in two-dimensional random media by thermal fluctuations starting from a flat configuration. Measuring spatial fluctuations of its mean position, we find that the…

Statistical Mechanics · Physics 2015-05-14 Jae Dong Noh , Hyunggyu Park

The transient network literature up to now has considered that the connection probability of a free strand does not depend on the strand extension, in contrast with the disconnection probability. We argue that, on thermodynamic grounds,…

Materials Science · Physics 2007-05-23 J. -F. Palierne

We study the deformations of elastic filaments confined within slowly-shrinking circular boundaries, under contact forces with friction. We perform computations with a spring-lattice model that deforms like a thin inextensible filament of…

Soft Condensed Matter · Physics 2022-02-23 Silas Alben

We report complex plasma experiments, assisted by numerical simulations, providing an alternative qualitative link between the macroscopic response of polycrystalline solid matter to small shearing forces and the possible underlying…

This paper investigates an elastic dislocation problem within a bounded and multi-layered solid governed by the Lam\'e system. We address the simultaneous reconstruction of the faults, the jumps in displacement and traction fields across…

Analysis of PDEs · Mathematics 2025-05-28 Huaian Diao , Hongyu Liu , Qingle Meng

The interaction of screw dislocations with an applied stress is studied using atomistic simulations in conjunction with a continuum treatment of the role played by the far field boundary condition. A finite cell of atoms is used to consider…

Materials Science · Physics 2009-10-28 Vijay B. Shenoy , Rob Phillips

In this work, a higher-order irrotational strain gradient plasticity theory is studied in the small strain regime. A detailed numerical study is based on the problem of simple shear of a non-homogeneous block comprising an elastic-plastic…

Materials Science · Physics 2019-06-26 Nothando Mhlongo , B Daya Reddy

We introduce a system where an elastic lattice of particles is moved slowly at a constant velocity under the influence of a local external potential, construct a rigid-body model through simplification processes, and show that the two…

Computational Physics · Physics 2015-05-30 Young-noh Yoon , Jonghee Lee

Thermodynamic dislocation theory incorporating dislocation impediment by the grain boundaries is developed to analyze the shear test of polycrystals. With a small set of physics based material parameters, we are able to simulate the…

Materials Science · Physics 2021-04-13 Yinguang Piao , Khanh Chau Le

Vertical loads acting on the surface of a half-space made of discrete and elastic particles are supported by a network of force chains that changes with the specific realization of the packing. These force chains can be transformed into…

Soft Condensed Matter · Physics 2019-09-20 Ignacio G. Tejada

We study the creep motion of an elastic string in a two dimensional pinning landscape by Langevin dynamics simulations. We find that the Velocity-Force characteristics are well described by the creep formula predicted from phenomenological…

Disordered Systems and Neural Networks · Physics 2007-05-23 Alejandro B. Kolton , Alberto Rosso , Thierry Giamarchi