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Related Concept Videos

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Structures of Solids

Solids in which the atoms, ions, or molecules are arranged in a definite repeating pattern are known as crystalline solids. Metals and ionic compounds typically form ordered, crystalline solids. A crystalline solid has a precise melting temperature because each atom or molecule of the same type is held in place with the same forces or energy. Amorphous solids or non-crystalline solids (or, sometimes, glasses) which lack an ordered internal structure and are randomly arranged. Substances that...
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Recall that a particle in equilibrium is one for which the external forces are balanced. Static equilibrium involves objects at rest, and dynamic equilibrium involves objects in motion without acceleration; but it is important to remember that these conditions are relative. For instance, an object may be at rest when viewed from one frame of reference, but that same object would appear to be in motion when viewed by someone moving at a constant velocity.
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Crystals with various point group symmetries belong to different crystal classes, which are synonymous terms. Despite being in the same class, crystals may have distinct shapes, like cubes and octahedra. There are 32 three-dimensional point groups, all of which are systematically divided into seven crystal systems.The basic cubic crystal system, exemplified by NaCl, features orthogonal vectors (α = β = �� = 90°) of equal lengths (a = b = c). When specific requirements are not imposed on the...
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Metallic Solids

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Related Experiment Video

Updated: Jul 4, 2026

Visualization of Failure and the Associated Grain-Scale Mechanical Behavior of Granular Soils under Shear using Synchrotron X-Ray Micro-Tomography
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Visualization of Failure and the Associated Grain-Scale Mechanical Behavior of Granular Soils under Shear using Synchrotron X-Ray Micro-Tomography

Published on: September 29, 2019

Structural characterization and statistical properties of two-dimensional granular systems.

Gad Frenkel1, Raphael Blumenfeld, Zdenek Grof

  • 1Earth Science and Engineering, Imperial College, London SW7 2AZ, United Kingdom. g.frenkel@imperial.ac.uk

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 4, 2008
PubMed
Summary

Quadrons offer a more effective entropic characterization of disordered granular systems than individual grains. Friction influences overall structure, while grain properties dictate conditional distributions, revealing distinct roles in granular assembly.

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Visualization of Failure and the Associated Grain-Scale Mechanical Behavior of Granular Soils under Shear using Synchrotron X-Ray Micro-Tomography
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Area of Science:

  • Physics
  • Materials Science
  • Statistical Mechanics

Background:

  • Disordered granular assemblies are common in nature and industry.
  • Understanding their structure is crucial for predicting material behavior.
  • Existing methods may not fully capture the complexity of these systems.

Purpose of the Study:

  • To compare the entropic characterization of granular assemblies using grains versus quadrons.
  • To investigate the influence of friction, grain shape, and size distributions on structure.
  • To quantify the statistics of basic volume elements for entropic analysis.

Main Methods:

  • A recently developed method for analyzing planar disordered granular assemblies.
  • Partitioning assemblies into volume elements: grains and quadrons.
  • Quantitative analysis of volume distributions and conditional distributions.

Main Results:

  • Quadrons are superior to grains as fundamental units for entropic formalism.
  • Volume distributions exhibit complex features, best understood through quadron-based conditional distributions.
  • Friction increases mean cell size but does not alter conditional distributions; grain properties govern these distributions.

Conclusions:

  • Grain size/shape distributions determine conditional distributions; friction and packing influence their relative weights.
  • Gamma distributions are inadequate for describing general granular systems' volume statistics.
  • The study provides quantitative insights into granular system structures and their comparison to foam-like models.