An exact expression of three-body system for the complex shear modulus of frictional granular materials
An exact expression of three-body system for the complex shear modulus of frictional granular materials
复制标题
摩擦颗粒材料复剪切模量三体系统的精确表达式
DOI：
10.1039/d2sm01565j
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发表时间：
2023
期刊：
影响因子：
3.4
通讯作者：
Hayakawa Hisao
中科院分区：
文献类型：
--
作者：
Otsuki Michio;Hayakawa Hisao
本文提出了一个简单的三质点模型来研究堵塞摩擦颗粒材料在振荡剪切作用下的非线性力学响应。由于简单模型的引入，我们得到了包含多个单分散圆盘的系统的复剪切模量的精确解析表达式，该表达式在阻塞点附近满足标度律。这些表达式完美地再现了低应变幅和摩擦系数的多体系统的剪切模量。即使对于无序的多体系统，该模型通过引入单个拟合参数来再现结果。
We propose a simple model comprising three particles to study the nonlinear mechanical response of jammed frictional granular materials under oscillatory shear. Owing to the introduction of the simple model, we obtain an exact analytical expression of the complex shear modulus for a system including many monodispersed disks, which satisfies a scaling law in the vicinity of the jamming point. These expressions perfectly reproduce the shear modulus of the many-body system with low strain amplitudes and friction coefficients. Even for disordered many-body systems, the model reproduces the results by introducing a single fitting parameter.