Regular Article - Flowing Matter
Shear modulus and reversible particle trajectories of frictional granular materials under oscillatory shear
Graduate School of Engineering Science, Osaka University, 560-8531, Toyonaka, Osaka, Japan
2 Yukawa Institute for Theoretical Physics, Kyoto University, 606-8502, Sakyo-ku, Kyoto, Japan
Accepted: 5 May 2021
Published online: 20 May 2021
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.
© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2021