Extraction of force-chain network architecture in granular materials using community detection
Danielle S Bassett1, Eli T Owens, Mason A Porter
1Department of Bioengineering, University of Pennsylvania, Philadelphia, PA 19104, USA. dsb@seas.upenn.edu.
Soft Matter
|February 24, 2015
Summary
We developed a network analysis method to quantify force chains in granular materials. This approach allows for consistent comparison of force-chain structures across different materials and experimental conditions.
Area of Science:
- Physics
- Materials Science
- Network Science
Background:
- Force chains are critical for granular material properties but lack quantitative descriptions.
- Comparing force-chain structures across systems is challenging due to inconsistent measurement methods.
Purpose of the Study:
- To develop a quantitative method for analyzing and comparing force chains in granular media.
- To characterize force-chain network architectures and their dependence on pressure.
Main Methods:
- Treated granular materials as spatially-embedded networks with weighted edges representing contact forces.
- Employed community detection algorithms and a geographical null model to identify chain-like structures.
- Proposed three diagnostics to measure and characterize force-chain architectures.
Main Results:
- Successfully extracted and quantified chain-like structures from granular materials.
- Demonstrated the utility of the diagnostics for identifying distinct force-chain network architectures.
- Illustrated pressure-dependent changes in force-chain architecture for experimental and numerical packings.
Conclusions:
- The proposed network analysis method provides a quantitative framework for studying force chains.
- This approach enables robust comparisons between force-chain structures in diverse granular systems.
- Characterizing force-chain architecture offers insights into bulk material properties like stability.
More Related Videos
Related Concept Videos
02:18Network Covalent Solids
16.6K
Network covalent solids contain a three-dimensional network of covalently bonded atoms as found in the crystal structures of nonmetals like diamond, graphite, silicon, and some covalent compounds, such as silicon dioxide (sand) and silicon carbide (carborundum, the abrasive on sandpaper). Many minerals have networks of covalent bonds.
To break or to melt a covalent network solid, covalent bonds must be broken. Because covalent bonds are relatively strong, covalent network solids are typically...
To break or to melt a covalent network solid, covalent bonds must be broken. Because covalent bonds are relatively strong, covalent network solids are typically...
16.6K
01:24Sequence Networks of Rotating Machines
548
A Y-connected synchronous generator, grounded through a neutral impedance, is designed to produce balanced internal phase voltages with only positive-sequence components. The generator's sequence networks include a source voltage that is exclusively in the positive-sequence network. The sequence components of line-to-ground voltages at the generator terminals illustrate this configuration.
Zero-sequence current induces a voltage drop across the generator's neutral impedance and other...
Zero-sequence current induces a voltage drop across the generator's neutral impedance and other...
548
01:17Ziegler–Natta Chain-Growth Polymerization: Overview
4.3K
Ziegler–Natta polymerization is another form of addition or chain‐growth polymerization used for synthesizing linear polymers over branched polymers. The catalyst used for polymerization is the Ziegler–Natta catalyst, named after Karl Ziegler and Giulio Natta, who developed it in 1953. This catalyst is an organometallic complex of titanium tetrachloride and triethyl aluminum, with the active form of the catalyst being an alkyl titanium compound. Using the Ziegler–Natta...
4.3K
01:17Radical Chain-Growth Polymerization: Chain Branching
2.7K
The skeletal structure of polymers synthesized via radical polymerization is always branched. For example, the polymerization of ethylene by radical polymerization results in a low-density grade of polyethylene with a heavily branched skeletal structure. Here, the radical site abstracts hydrogen from the growing chain, and the radical site shifts from the end (a primary carbon center) to anywhere within the growing chain (a secondary carbon center). Consequently, the part of the chain from the...
2.7K
02:26Protein Networks
3.0K
3.0K
02:26Protein Networks
4.7K
An organism can have thousands of different proteins, and these proteins must cooperate to ensure the health of an organism. Proteins bind to other proteins and form complexes to carry out their functions. Many proteins interact with multiple other proteins creating a complex network of protein interactions.
These interactions can be represented through maps depicting protein-protein interaction networks, represented as nodes and edges. Nodes are circles that are representative of a protein,...
These interactions can be represented through maps depicting protein-protein interaction networks, represented as nodes and edges. Nodes are circles that are representative of a protein,...
4.7K