scholarly journals Stress propagation in locally loaded packings of disks and pentagons

Soft Matter ◽  
2021 ◽  
Author(s):  
Ryan Kozlowski ◽  
Hu Zheng ◽  
Karen E Daniels ◽  
Joshua E.S Socolar
Keyword(s):  
Mechanical Strength ◽  
Granular Materials ◽  
Two Dimensional ◽  
Quantitative Results ◽  
Stress Propagation ◽  
Individual Grains

The mechanical strength and flow of granular materials can depend strongly on the shapes of individual grains. We report quantitative results obtained from photoelasticimetry experiments on locally loaded, quasi-two-dimensional granular...

Turbulent-like velocity fluctuations in two-dimensional granular materials subject to cyclic shear

Soft Matter ◽  
2022 ◽  
Author(s):  
Aile Sun ◽  
Yinqiao Wang ◽  
Yangrui Chen ◽  
Jin Shang ◽  
Jie Zheng ◽  
...  
Keyword(s):  
Experimental Study ◽  
Granular Materials ◽  
Granular Matter ◽  
Two Dimensional ◽  
Friction Coefficients ◽  
Velocity Fluctuations ◽  
Cyclic Shear

We perform a systematic experimental study to investigate the velocity fluctuations in the two-dimensional granular matter of low and high friction coefficients subjected to cyclic shear of a range of...

scholarly journals Two-dimensional packing in prolate granular materials

2003 ◽  
Vol 67 (5) ◽  
Author(s):  
K. Stokely ◽  
A. Diacou ◽  
Scott V. Franklin
Keyword(s):  
Granular Materials ◽  
Two Dimensional

Maximum Entropy Methods in the Mechanics of Quasi-Static Deformation of Granular Materials

2002 ◽  
Author(s):  
N. P. Kruyt ◽  
L. Rothenburg
Keyword(s):  
Probability Density ◽  
Maximum Entropy ◽  
Granular Materials ◽  
Probability Density Functions ◽  
Contact Forces ◽  
Static Deformation ◽  
Density Functions ◽  
Two Dimensional ◽  
Entropy Methods ◽  
Theoretical Predictions

In statistical physics of dilute gases maximum entropy methods are widely used for theoretical predictions of macroscopic quantities in terms of microscopic quantities. In this study an analogous approach to the mechanics of quasi-static deformation of granular materials is proposed. The reasoning is presented that leads to the definition of an entropy that is appropriate to quasi-static deformation of granular materials. This entropy is formulated in terms of contact quantities, since contacts constitute the relevant microscopic level for granular materials that consist of semirigid particles. The proposed maximum entropy approach is then applied to two cases. The first case deals with the probability density functions of contact forces in a two-dimensional assembly with frictional contacts under prescribed hydrostatic stress. The second case deals with the elastic behaviour of two-dimensional assemblies of non-rotating particles with bonded contacts. For both cases the probability density functions of contact forces are determined from the proposed maximum entropy method, under the constraints appropriate to the case. These constraints form the macroscopic information available about the system. With the probability density functions for contact forces thus determined, theoretical predictions of macroscopic quantities can be made. These theoretical predictions are then compared with results obtained from two-dimensional Discrete Element simulations and from experiments.

On the mechanics of meso-scale structures in two-dimensional granular materials

2016 ◽  
Vol 21 (7-8) ◽  
pp. 912-935 ◽  
Author(s):  
Huaxiang Zhu ◽  
Guillaume Veylon ◽  
François Nicot ◽  
Félix Darve
Keyword(s):  
Granular Materials ◽  
Two Dimensional ◽  
Scale Structures ◽  
Meso Scale

scholarly journals Shape of jamming arches in two-dimensional deposits of granular materials

2010 ◽  
Vol 82 (3) ◽  
Author(s):  
Angel Garcimartín ◽  
Iker Zuriguel ◽  
Luis A. Pugnaloni ◽  
Alvaro Janda
Keyword(s):  
Granular Materials ◽  
Two Dimensional

Fluctuations, correlations and transitions in granular materials: statistical mechanics for a non-conventional system

2007 ◽  
Vol 366 (1865) ◽  
pp. 493-504 ◽  
Author(s):  
R.P Behringer ◽  
Karen E Daniels ◽  
Trushant S Majmudar ◽  
Matthias Sperl
Keyword(s):  
Statistical Mechanics ◽  
Granular Materials ◽  
Granular Systems ◽  
Dimensional System ◽  
Two Dimensional ◽  
Conventional System ◽  
Dynamical Transition ◽  
Jamming Transition ◽  
System Experiment ◽  
Two Dimensional System

In this work, we first review some general properties of dense granular materials. We are particularly concerned with a statistical description of these materials, and it is in this light that we briefly describe results from four representative studies. These are: experiment 1: determining local force statistics, vector forces, force distributions and correlations for static granular systems; experiment 2: characterizing the jamming transition, for a static two-dimensional system; experiment 3: characterizing plastic failure in dense granular materials; and experiment 4: a dynamical transition where the material ‘freezes’ in the presence of apparent heating for a sheared and shaken system.

Mechanistic Quantification of Thermodynamic Stability and Mechanical Strength for Two-Dimensional Transition-Metal Carbides

2018 ◽  
Vol 122 (8) ◽  
pp. 4710-4722 ◽  
Author(s):  
Zhongheng Fu ◽  
Hang Zhang ◽  
Chen Si ◽  
Dominik Legut ◽  
Timothy C. Germann ◽  
...  
Keyword(s):  
Transition Metal ◽  
Mechanical Strength ◽  
Thermodynamic Stability ◽  
Two Dimensional ◽  
Metal Carbides ◽  
Transition Metal Carbides
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