Fabric response to strain probing in granular materials: Two-dimensional, isotropic systems

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...

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Two-dimensional packing in prolate granular materials

Physical Review E ◽

10.1103/physreve.67.051302 ◽

2003 ◽

Vol 67 (5) ◽

Cited By ~ 29

Author(s):

K. Stokely ◽

A. Diacou ◽

Scott V. Franklin

Keyword(s):

Granular Materials ◽

Two Dimensional

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On micromechanical characteristics of the critical state of two-dimensional granular materials

Acta Mechanica ◽

10.1007/s00707-014-1128-y ◽

2014 ◽

Vol 225 (8) ◽

pp. 2301-2318 ◽

Cited By ~ 33

Author(s):

N. P. Kruyt ◽

L. Rothenburg

Keyword(s):

Granular Materials ◽

Critical State ◽

Two Dimensional ◽

Micromechanical Characteristics

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

Materials: Processing, Characterization and Modeling of Novel Nano-Engineered and Surface Engineered Materials ◽

10.1115/imece2002-32494 ◽

2002 ◽

Cited By ~ 2

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.

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

European Journal of Environmental and Civil engineering ◽

10.1080/19648189.2016.1229229 ◽

2016 ◽

Vol 21 (7-8) ◽

pp. 912-935 ◽

Cited By ~ 6

Author(s):

Huaxiang Zhu ◽

Guillaume Veylon ◽

François Nicot ◽

Félix Darve

Keyword(s):

Granular Materials ◽

Two Dimensional ◽

Scale Structures ◽

Meso Scale

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

Physical Review E ◽

10.1103/physreve.82.031306 ◽

2010 ◽

Vol 82 (3) ◽

Cited By ~ 55

Author(s):

Angel Garcimartín ◽

Iker Zuriguel ◽

Luis A. Pugnaloni ◽

Alvaro Janda

Keyword(s):

Granular Materials ◽

Two Dimensional

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

Philosophical Transactions of The Royal Society A Mathematical Physical and Engineering Sciences ◽

10.1098/rsta.2007.2106 ◽

2007 ◽

Vol 366 (1865) ◽

pp. 493-504 ◽

Cited By ~ 33

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.

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A Random Angular Bend Algorithm for Two- Dimensional Discrete Modeling of Granular Materials

Materials ◽

10.3390/ma12132169 ◽

2019 ◽

Vol 12 (13) ◽

pp. 2169 ◽

Cited By ~ 6

Author(s):

Zhenyu Wang ◽

Lin Wang ◽

Wengang Zhang

Keyword(s):

Numerical Simulation ◽

Granular Materials ◽

Geometric Model ◽

Detection Algorithm ◽

Irregular Shape ◽

Particle Flow Code ◽

Particle Model ◽

Two Dimensional ◽

Solid Foundation ◽

Random Particle

Generation of particles with irregular shape and the overlap detection are crucial for numerical simulation of granular materials. This paper presents a systematic approach to develop a two-dimensional random particle model for numerical simulation of granular materials. Firstly, a random angular bend (RAB) algorithm is proposed and coded in Python to simulate the geometric model of individual particle with irregular shape. Three representative parameters are used to quantitatively control the shape feature of generated polygons in terms of three major aspects, respectively. Then, the generated geometrical models are implemented into particle flow code PFC2D to construct the clump library. The clumps are created via the mid-surface method. Besides, an overlap detection algorithm is developed to address the difficulties associated with spatial allocation of irregularly shaped particles. Finally, two application examples are adopted to validate the feasibility of the proposed algorithm in the numerical modeling of realistic granular materials. The study provides a solid foundation for the generation and simulation of the granular materials based on angular bend theory.

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