The coefficient of restitution for normal incident, low velocity particle impacts
The coefficient of restitution for normal incident, low velocity particle impacts
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DOI：
10.1016/j.ces.2005.01.040
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发表时间：
2005-07
影响因子：
4.7
通讯作者：
G. Weir;S. Tallon
中科院分区：
文献类型：
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作者：
G. Weir;S. Tallon
本文研究了弹塑性粒子在低速正碰撞中碰撞和反冲的理论机制。恢复系数被示出为是一个近似的函数的相对冲击速度的比率的系统压缩波的速度，和屈服压力的比率的杨氏模量。系统的压缩波的速度是进一步的函数的相对半径的影响颗粒，它是预测的恢复系数相等大小的球体-球体的影响是约19%，小于球-板的影响，否则相同的颗粒。这一结果得到了实验的证实。理论也被开发来量化恢复系数的增加，在同一点相同的影响。撞击点附近的渐进塑性变形导致越来越有弹性的碰撞，典型颗粒的恢复系数在大约5到10次撞击后接近1。这一点也在实验中得到了近似的证实。
This paper examines the theoretical regimes underlying the collision and recoil of elasto-plastic particles in low-velocity normal impacts. The coefficient of restitution is shown to be an approximate function of the ratio of the relative impact velocity to the system compressional wave speed, and the ratio of yield pressure to Young's modulus. The system compressional wave speed is further a function of the relative radii of the impacting particles, and it is predicted that the coefficient of restitution for equally sized sphere–sphere impacts is about 19% small than for sphere–plate impacts of otherwise identical particles. This result is confirmed experimentally. Theory is also developed to quantify an increase in restitution coefficient following identical impacts at the same point. Progressive plastic deformation about the impact point leads to a collision that is increasingly more elastic, and the restitution coefficient for typical particles approaches unity after about five to 10 impacts. This is also approximately confirmed experimentally.