Otsuki Michio, Hayakawa Hisao
Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka, 560-8531, Japan.
Yukawa Institute for Theoretical Physics, Kyoto University, Sakyo-ku, Kyoto, 606-8502, Japan.
Eur Phys J E Soft Matter. 2021 May 20;44(5):70. doi: 10.1140/epje/s10189-021-00075-0.
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.
在本研究中，我们对处于可逆相的摩擦颗粒在振荡剪切作用下的力学响应和轨迹进行了数值研究，在该相中颗粒轨迹在屈服点以下形成闭环。当摩擦系数较小时，储能模量表现出软化现象，并且在准静态极限下损耗模量保持有限。随着摩擦系数的增加，软化现象和残余损耗模量受到抑制。如果将储能模量和损耗模量绘制为环路轨迹面积除以应变幅值和颗粒直径的函数，那么它们至少在环路面积较小时满足标度律。
