Directed force chain networks and stress response in static granular materials
| Autor: | David G. Schaeffer, P. Claudin, Joshua E. S. Socolar |
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| Přispěvatelé: | Laboratoire des Milieux Désordonnés et Hétérogènes (LMDH), Université Pierre et Marie Curie - Paris 6 (UPMC)-Centre National de la Recherche Scientifique (CNRS), Arxiv, Import |
| Rok vydání: | 2016 |
| Předmět: |
Physics
Mathematical analysis Crossover Condensed Matter (cond-mat) Biophysics FOS: Physical sciences Surfaces and Interfaces General Chemistry Condensed Matter Fixed point Granular material 01 natural sciences Boltzmann equation 010305 fluids & plasmas Stress (mechanics) Nonlinear system [PHYS.COND.CM-GEN] Physics [physics]/Condensed Matter [cond-mat]/Other [cond-mat.other] [PHYS.COND.CM-GEN]Physics [physics]/Condensed Matter [cond-mat]/Other [cond-mat.other] 0103 physical sciences General Materials Science Statistical physics Soft matter Force chain 010306 general physics Biotechnology |
| Zdroj: | European Physical Journal E: Soft matter and biological physics European Physical Journal E: Soft matter and biological physics, EDP Sciences: EPJ, 2002, 8, pp.453-453 European Physical Journal E: Soft matter and biological physics, 2002, 8, pp.453-453 |
| ISSN: | 1292-8941 1292-895X |
| Popis: | A theory of stress fields in two-dimensional granular materials based on directed force chain networks is presented. A general equation for the densities of force chains in different directions is proposed and a complete solution is obtained for a special case in which chains lie along a discrete set of directions. The analysis and results demonstrate the necessity of including nonlinear terms in the equation. A line of nontrivial fixed point solutions is shown to govern the properties of large systems. In the vicinity of a generic fixed point, the response to a localized load shows a crossover from a single, centered peak at intermediate depths to two propagating peaks at large depths that broaden diffusively. 18 pages, 12 figures. Minor corrections to one figure |
| Databáze: | OpenAIRE |
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