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Shear modulus and reversible particle trajectories of frictional granular materials under oscillatory shear

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Abstract

In this study, we numerically investigated the mechanical responses and trajectories of frictional granular particles under oscillatory shear in the reversible phase where particle trajectories form closed loops below the yielding point. When the friction coefficient is small, the storage modulus exhibits softening, and the loss modulus remains finite in the quasi-static limit. As the friction coefficient increases, the softening and residual loss modulus are suppressed. The storage and loss moduli satisfy scaling laws if they are plotted as functions of the areas of the loop trajectories divided by the strain amplitude and diameter of grains, at least for small values of the areas.

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Notes

  1. We have also checked that particles in the reversible phase exhibit almost the same trajectories for ten cycles in all samples.

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Acknowledgements

The authors thank K. Saitoh and D. Ishima for fruitful discussion. This work was supported by JSPS KAKENHI Grant Nos. JP16H04025, JP19K03670, and JP21H01006, and ISHIZUE 2020 of the Kyoto University Research Development Program.

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Authors and Affiliations

  1. Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka, 560-8531, Japan

    Michio Otsuki

  2. Yukawa Institute for Theoretical Physics, Kyoto University, Sakyo-ku, Kyoto, 606-8502, Japan

    Hisao Hayakawa

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  1. Michio Otsuki
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  2. Hisao Hayakawa
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Contributions

M.O. carried out the simulations. Both authors interpreted the results and wrote the manuscript.

Corresponding author

Correspondence to Michio Otsuki.

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Otsuki, M., Hayakawa, H. Shear modulus and reversible particle trajectories of frictional granular materials under oscillatory shear. Eur. Phys. J. E 44, 70 (2021). https://doi.org/10.1140/epje/s10189-021-00075-0

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