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arXiv 0708.1389cond-mat.soft
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颗粒棘轮效应的微观起源

Microscopic origin of granular ratcheting

S. McNamara, R. García-Rojo, H. J. Herrmann

摘要:

循环载荷下的晶粒组件的数值模拟表现出“颗粒棘轮效应”:每个循环都会发生小的净变形,导致变形随循环次数线性累积。我们表明,这是由于最常用的粒子-粒子相互作用模型的一个奇怪的属性:即,储存在接触的势能是路径依赖的。存在改变存储能量的闭合路径,即使粒子保持接触并且不滑动。用于计算切向力的替代方法消除了颗粒棘轮效应。

英文摘要:

Numerical simulations of assemblies of grains under cyclic loading exhibit ``granular ratcheting'': a small net deformation occurs with each cycle, leading to a linear accumulation of deformation with cycle number. We show that this is due to a curious property of the most frequently used models of the particle-particle interaction: namely, that the potential energy stored in contacts is path-dependent. There exist closed paths that change the stored energy, even if the particles remain in contact and do not slide. An alternative method for calculating the tangential force removes granular ratcheting.

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