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The aim of this paper is to provide new results and insights for a screw dislocation in functionally graded media within the gauge theory of dislocations. We present the equations of motion for dislocations in inhomogeneous media. We…

Materials Science · Physics 2011-02-21 Markus Lazar

When amorphous solids are subjected to simple or pure strain, they exhibit elastic increase in stress, punctuated by plastic events that become denser (in strain) upon increasing the system size. It is customary to assume in theoretical…

Soft Condensed Matter · Physics 2023-05-22 Chandana Mondal , Michael Moshe , Itamar Procaccia , Saikat Roy

Probability distributions of the magnetic work are computed for the 2D Ising model by means of Monte Carlo simulations. The system is first prepared at equilibrium for three temperatures below, at and above the critical point. A magnetic…

Statistical Mechanics · Physics 2007-05-23 Christophe Chatelain , Dragi Karevski

Shear stress is an important physical factor that regulates proliferation, migration and morphogenesis. In particular, the homeostasis of blood vessels is dependent on shear stress. To mimic this process ex vivo, efforts have been made to…

Soft Condensed Matter · Physics 2013-01-15 K. Youssef , J. J. Mack , M. L. Iruela-Arispe , L. -S. Bouchard

This paper develops a geometrical model of dislocations and disclinations in single crystals at the mesoscopic scale. In the continuation of previous work the distribution theory is used to represent concentrated effects in the defect lines…

Mathematical Physics · Physics 2015-03-13 Nicolas Van Goethem , Francois Dupret

We investigate dilation-induced surface deformations in a Discontinuous Shear Thickening (DST) suspension to determine the relationship between dilation and stresses in DST. Video is taken at two observation points on the surface of the…

Soft Condensed Matter · Physics 2021-01-13 Rijan Maharjan , Ethan O'Reilly , Thomas Postiglione , Nikita Klimenko , Eric Brown

Numerous models have been developed in the literature to simulate the thermomechanical behavior of amorphous polymer at large strain. These models generally show a good agreement with experimental results when the material is submitted to…

Soft Condensed Matter · Physics 2021-06-23 Ca Bernard , D George , S Ahzi , Y Rémond

We report on experimentally observed shear stress fluctuations in both granular solid and fluid states, showing that they are non-Gaussian at low shear rates, reflecting the predominance of correlated structures (force chains) in the…

Statistical Mechanics · Physics 2009-11-11 Fergal Dalton , Francis Farrelly , Alberto Petri , Luciano Pietronero , Luca Pitolli , Giorgio Pontuale

Traditional theories of the NMR autocorrelation function for intramolecular dipole pairs assume single-exponential decay, yet the calculated autocorrelation of realistic systems display a rich, multi-exponential behavior resulting in…

We consider a model dense colloidal dispersion at the glass transition, and investigate the connection between equilibrium stress fluctuations, seen in linear shear moduli, and the shear stresses under strong flow conditions far from…

Soft Condensed Matter · Physics 2009-11-13 J. J. Crassous , M. Siebenbürger , M. Ballauff , M. Drechsler , D. Hajnal , O. Henrich , M. Fuchs

Based on the cross correlation analysis of the Kikuchi diffraction patterns high-resolution EBSD is a well established method to determine the internal stress in deformed crystalline materials. In many cases, however, the stress values…

Materials Science · Physics 2017-04-05 Szilvia Kalácska , István Groma , András Borbély , Péter Dusan Ispánovity

We use the normal mode formalism to study the shear rheology of the vertex model for epithelial tissue mechanics in the overdamped linear response regime. We consider systems with external (e.g., cell-substrate) and internal (e.g.,…

Soft Condensed Matter · Physics 2023-02-27 Sijie Tong , Rastko Sknepnek , Andrej Kosmrlj

We give a statistical-mechanical theory of stress transmission in disordered arrays of rigid grains with perfect friction. Starting from the equations of microscopic force and torque balance we derive the fundamental equations of stress…

Disordered Systems and Neural Networks · Physics 2009-10-31 S. F. Edwards , D. V. Grinev

The rheological behaviour of dense suspensions of ideally conductive particles in the presence of both electric field and shear flow is studied using large-scale numerical simulations. Under the action of an electric field, these particles…

Soft Condensed Matter · Physics 2023-11-16 Siamak Mirfendereski , Jae Sung Park

In their paper "Stability to weak dissipative bresse system", Alabau et al. studied the exponential and polynomial stability of the Bresse system with one globally distributed dissipation law. Our goal is to extend their results, by taking…

Optimization and Control · Mathematics 2012-02-23 Nahla Noun , Ali Wehbe

At low temperature, T -> 0, the yield stress of a perfect crystal is equal to its so called theoretical strength. The yield stress of non-perfect crystals is controlled by the stress threshold of dislocation mobility. A non-crystalline…

Materials Science · Physics 2011-07-01 Nikolai Lazarev , Alexander Bakai

We show that the maximum entropy hypothesis can successfully explain the distribution of stresses on compact clusters of particles within disordered mechanically stable packings of soft, isotropically stressed, frictionless disks above the…

Soft Condensed Matter · Physics 2015-10-13 Yegang Wu , S. Teitel

The yield surface in crystal plasticity can be approached from various directions during mechanical loading. We consider the competition between nanoindentation and tensile loading towards plastic yielding. For this purpose, we develop a…

Materials Science · Physics 2017-07-14 Hengxu Song , Hakan Yavas , Erik Van der Giessen , Stefanos Papanikolaou

We consider extensional flows of a dense layer of spheres in a viscous fluid and employ force and torque balances to determine the trajectory of particle pairs that contribute to the stress. In doing this, we use Stokesian dynamics…

Fluid Dynamics · Physics 2021-07-08 James T. Jenkins , Ryohei Seto , Luigi La Ragione

We study, using both theory and simulations, a system of self-gravitating sheets. A new statistical mechanics theory - free of any adjustable parameters - is derived to quantitatively predict the final stationary state achieved by this…

Astrophysics of Galaxies · Physics 2013-05-14 Tarcísio Nunes Teles , Yan Levin , Renato Pakter
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