Structural evolution of granular systems: theory
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Author(s)
Wanjura, Clara
Gago, Paula
Matsushima, Takashi
Blumenfeld, Raphael
Type
Journal Article
Abstract
A general theory is developed for the evolution of the cell order (CO) distribution in planar granular systems. Dynamic equations are constructed and solved in closed form for several examples: systems under compression; dilation of very dense systems; and the general approach to steady state. We find that all the steady states are stable and that they satisfy a detailed balance-like condition when the CO≤6. Illustrative numerical solutions of the evolution are shown. Our theoretical results are validated against an extensive simulation of a sheared system. The formalism can be readily extended to other structural characteristics, paving the way to a general theory of structural organisation of granular systems.
Date Issued
2020-10-21
Date Acceptance
2020-09-01
Citation
Granular Matter, 2020, 22
ISSN
1434-5021
Publisher
Springer
Journal / Book Title
Granular Matter
Volume
22
Copyright Statement
© The Author(s) 2020. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
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Subjects
Fluids & Plasmas
0904 Chemical Engineering
0905 Civil Engineering
0913 Mechanical Engineering
Publication Status
Published
Article Number
ARTN 91