论文标题
三体系统的精确表达，用于摩擦颗粒材料的复杂剪切模量
An exact expression of three-body system for the complex shear modulus of frictional granular materials
论文作者
论文摘要
我们提出了一个简单的模型，该模型包括三个颗粒，用于研究振荡剪切下堵塞的摩擦颗粒材料的非线性机械响应。由于引入了简单模型，我们获得了一个系统的复杂剪切模量的精确分析表达，其中包括许多单分散磁盘，该磁盘满足了卡明点附近的缩放定律。这些表达式完美地重现了具有低应变幅度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，该模型也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 mono-dispersed 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 results by introducing a single fitting parameter.
