Influence of network topology on sound propagation in granular materials.
Granular media, whose features range from the particle scale to the force-chain scale and the bulk scale, are usually modeled as either particulate or continuum materials. In contrast with each of these approaches, network representations are natural for the simultaneous examination of microscopic,...
| Main Authors: | , , , |
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| Format: | Journal article |
| Language: | English |
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2012
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| _version_ | 1826260156897296384 |
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| author | Bassett, D Owens, E Daniels, K Porter, M |
| author_facet | Bassett, D Owens, E Daniels, K Porter, M |
| author_sort | Bassett, D |
| collection | OXFORD |
| description | Granular media, whose features range from the particle scale to the force-chain scale and the bulk scale, are usually modeled as either particulate or continuum materials. In contrast with each of these approaches, network representations are natural for the simultaneous examination of microscopic, mesoscopic, and macroscopic features. In this paper, we treat granular materials as spatially embedded networks in which the nodes (particles) are connected by weighted edges obtained from contact forces. We test a variety of network measures to determine their utility in helping to describe sound propagation in granular networks and find that network diagnostics can be used to probe particle-, curve-, domain-, and system-scale structures in granular media. In particular, diagnostics of mesoscale network structure are reproducible across experiments, are correlated with sound propagation in this medium, and can be used to identify potentially interesting size scales. We also demonstrate that the sensitivity of network diagnostics depends on the phase of sound propagation. In the injection phase, the signal propagates systemically, as indicated by correlations with the network diagnostic of global efficiency. In the scattering phase, however, the signal is better predicted by mesoscale community structure, suggesting that the acoustic signal scatters over local geographic neighborhoods. Collectively, our results demonstrate how the force network of a granular system is imprinted on transmitted waves. |
| first_indexed | 2024-03-06T19:01:11Z |
| format | Journal article |
| id | oxford-uuid:1393a400-d7b4-4e42-8542-8767af22c49f |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T19:01:11Z |
| publishDate | 2012 |
| record_format | dspace |
| spelling | oxford-uuid:1393a400-d7b4-4e42-8542-8767af22c49f2022-03-26T10:14:39ZInfluence of network topology on sound propagation in granular materials.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:1393a400-d7b4-4e42-8542-8767af22c49fEnglishSymplectic Elements at Oxford2012Bassett, DOwens, EDaniels, KPorter, MGranular media, whose features range from the particle scale to the force-chain scale and the bulk scale, are usually modeled as either particulate or continuum materials. In contrast with each of these approaches, network representations are natural for the simultaneous examination of microscopic, mesoscopic, and macroscopic features. In this paper, we treat granular materials as spatially embedded networks in which the nodes (particles) are connected by weighted edges obtained from contact forces. We test a variety of network measures to determine their utility in helping to describe sound propagation in granular networks and find that network diagnostics can be used to probe particle-, curve-, domain-, and system-scale structures in granular media. In particular, diagnostics of mesoscale network structure are reproducible across experiments, are correlated with sound propagation in this medium, and can be used to identify potentially interesting size scales. We also demonstrate that the sensitivity of network diagnostics depends on the phase of sound propagation. In the injection phase, the signal propagates systemically, as indicated by correlations with the network diagnostic of global efficiency. In the scattering phase, however, the signal is better predicted by mesoscale community structure, suggesting that the acoustic signal scatters over local geographic neighborhoods. Collectively, our results demonstrate how the force network of a granular system is imprinted on transmitted waves. |
| spellingShingle | Bassett, D Owens, E Daniels, K Porter, M Influence of network topology on sound propagation in granular materials. |
| title | Influence of network topology on sound propagation in granular materials. |
| title_full | Influence of network topology on sound propagation in granular materials. |
| title_fullStr | Influence of network topology on sound propagation in granular materials. |
| title_full_unstemmed | Influence of network topology on sound propagation in granular materials. |
| title_short | Influence of network topology on sound propagation in granular materials. |
| title_sort | influence of network topology on sound propagation in granular materials |
| work_keys_str_mv | AT bassettd influenceofnetworktopologyonsoundpropagationingranularmaterials AT owense influenceofnetworktopologyonsoundpropagationingranularmaterials AT danielsk influenceofnetworktopologyonsoundpropagationingranularmaterials AT porterm influenceofnetworktopologyonsoundpropagationingranularmaterials |