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Experimental and numerical investigation of the compression and expansion of a granular bed of repelling magnetic disks

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Abstract

We studied experimentally and numerically the compaction and subsequent expansion dynamics of a granular bed composed of cylindrical repelling magnets contained in a two-dimensional cell. The particles are firstly compressed vertically with a piston at a given strain rate until a maximum force is reached. The piston is then removed at the same strain rate while the bed expands due to the magnetic repulsion of the particles. In the experiments, two different initial configurations were generated, a standard and a loose packing bed. The standard packing bed was simulated, and modelling the dry friction between the magnetic particles and the walls of the cell was crucial for the correct description of the compression and expansion dynamics. We found that the force acting on the piston increases continuously and exponentially with the piston stroke during compression, being very sensitive to the initial packing conditions of the bed. In contrast, a history-independent exponential decrease of this force was found during the expansion phase. The hysteresis in the system was quantified in terms of the average displacement of the particles. The continuous compression contrasts with the sudden force drops observed during the compaction of granular materials with direct particle-particle contacts, where stick-slip motion is induced by friction and force chain breakage. Moreover, we found that the short range of magnetic interaction induces density inversion and crystallization of the system. Our results can be useful to develop a new kind of magnetic granular dampers.

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Acknowledgements

The authors thank Julien Schockmel and Geoffroy Lumay for their help with the initial experiments and discussions, and Prof. Nicolas Vandewalle for the use of GRASP facilities. SD thanks F.R.S.-FNRS for financial support as a Senior Research Associate.

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Authors and Affiliations

  1. Departamento de Matemática, Universidade de Brasília, Campus Universitário Darcy Ribeiro, Brasília, DF, 70910-900, Brazil

    J. A. C. Modesto & Y. D. Sobral

  2. GRASP, Institute of Physics, Building B5a, Sart Tilman, Université de Liège, B4000, Liège, Belgium

    S. Dorbolo

  3. Department of Earth and Space Science, Osaka University, 1-1 Machikaneyama, Toyonaka, 560-0043, Japan

    H. Katsuragi

  4. Instituto de Física, Benemérita Universidad Autónoma de Puebla, Apartado Postal J-48, 72570, Puebla, Mexico

    F. Pacheco-Vázquez

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  1. J. A. C. Modesto
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  3. H. Katsuragi
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  4. F. Pacheco-Vázquez
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Contributions

Design and experiments: S.D. and F.P.V. Numerical simulations: J.A.C.M. and Y.D.S. Analysis and discussion: J.A.C.M., S.D., H.K., F.P.V. and Y.D.S., The initial draft was written by F. Pacheco-Vázquez and Y. Dumaresq Sobral, and all authors revised, discussed and commented on previous versions of the manuscript. All authors read and approved the final manuscript.

Corresponding authors

Correspondence to F. Pacheco-Vázquez or Y. D. Sobral.

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Funding

Research supported by CONACYT Mexico through Frontier Science Project 140604 FORDECYT-PRONACES, VIEP-BUAP 2021-2022, FNRS Belgium and FAP-DF Brazil Project 00193.00001155/2021-40.

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the authors have no relevant financial or non-financial interests to disclose.

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Modesto, J.A.C., Dorbolo, S., Katsuragi, H. et al. Experimental and numerical investigation of the compression and expansion of a granular bed of repelling magnetic disks. Granular Matter 24, 105 (2022). https://doi.org/10.1007/s10035-022-01268-w

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