Coefficient of restitution for viscoelastic spheres: The effect of delayed recovery

Coefficient of restitution for viscoelastic spheres: The effect of delayed recovery
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DOI:
10.1103/physreve.78.051304
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发表时间:
2008-11-01
期刊:
影响因子:
2.4
通讯作者:
Poeschel, Thorsten
Poeschel, Thorsten
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Schwager, Thomas;Poeschel, Thorsten

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碰撞粘弹性球的正常恢复系数计算作为一个功能的材料属性和碰撞速度。从简单的论证中可以清楚地看出,在完全排斥相互作用的粒子的碰撞中,粒子在球心的距离达到半径之和之前就失去了接触,也就是说,粒子只有在与碰撞伙伴失去接触之后才恢复形状。这种效应在早期的计算中被忽略了,这导致错误地产生吸引力,从而低估了恢复系数。结果,我们发现一个不同的恢复系数的影响率的依赖关系。
The coefficient of normal restitution of colliding viscoelastic spheres is computed as a function of the material properties and the impact velocity. From simple arguments it becomes clear that, in a collision of purely repulsively interacting particles, the particles lose contact slightly before the distance of the centers of the spheres reaches the sum of the radii, that is, the particles recover their shape only after they lose contact with their collision partner. This effect was neglected in earlier calculations, which leads erroneously to attractive forces and thus to an underestimation of the coefficient of restitution. As a result we find a different dependence of the coefficient of restitution on the impact rate.