Ye Xiaoyan, Wang Dengming, Zheng Xiaojing
Key Laboratory of Mechanics on Disaster and Environment in Western China attached to the Ministry of Education of China, and Department of Mechanics and Engineering Sciences, College of Civil Engineering and Mechanics, Lanzhou University, Lanzhou, Gansu 730000, People's Republic of China.
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Dec;86(6 Pt 1):061304. doi: 10.1103/PhysRevE.86.061304. Epub 2012 Dec 7.
The rotation of a particle has significant influence on the dynamic response of a granular bed subjected to the oblique impact of a spherical projectile. Based on the discrete element method, the dynamical behavior of two-dimensional granular media impacted obliquely by rotating particles has been examined in this work, especially for the influence of rotational angular velocity on its penetration depth. The simulations show that the incident rotational velocity will not only act on the characteristics of velocity distribution of the bed after impacting, but also influence the trajectory of the projectile qualitatively. For low angular velocities, particle rotations will significantly increase the vertical penetration depths, while the different directions of rotation will exert opposite effects on the horizontal penetration depths. In addition, the influence of particle rotation on its penetration depth will be enhanced with increasing angular velocity, but such effect will reach an asymptotic plateau for sufficiently large angular velocities. This indicates that the angular velocity has an obvious criticality. Furthermore, the variation of critical angular velocity may be linear with the impact velocity and square with the impacting angle, approximately. Finally, the influence of the initial particle rotation on the scaling law of penetration depth is also considered, and we find that the linear scaling with impact velocity is still applicable for most impact conditions.
颗粒的旋转对受球形抛射体斜向冲击的颗粒床的动态响应有显著影响。基于离散元方法，本文研究了旋转颗粒斜向冲击二维颗粒介质的动力学行为，特别是旋转角速度对其穿透深度的影响。模拟结果表明，入射旋转速度不仅会影响冲击后床层速度分布的特征，还会定性地影响抛射体的轨迹。对于低角速度，颗粒旋转会显著增加垂直穿透深度，而不同的旋转方向对水平穿透深度会产生相反的影响。此外，颗粒旋转对其穿透深度的影响会随着角速度的增加而增强，但对于足够大的角速度，这种影响将达到渐近平稳状态。这表明角速度具有明显的临界性。此外，临界角速度的变化可能近似地与冲击速度呈线性关系，与冲击角度呈平方关系。最后，还考虑了初始颗粒旋转对穿透深度标度律的影响，我们发现对于大多数冲击条件，与冲击速度的线性标度关系仍然适用。
