论文标题
球形冰晶体碰撞的动力学，具有完美的刚性底物
Dynamics of collision of a spherical ice crystal particle with a perfectly rigid substrate
论文作者
论文摘要
单个粒子对刚性底物的影响会导致其变形和碎片化。撞击后，与粒子在固体基板上扩散的流动非常复杂。在这项理论研究中，开发了具有速率依赖性屈服强度的塑性流的简化模型。粒子中的流动通过不可压缩的无粘性流经过薄的刚性磁盘来近似。压力场分布的表达是在冲击轴附近获得的。粒子的总动量平衡用于通过撞击得出粒子变形的方程。将粒子的典型几何参数，峰值力和及时力的演变的理论预测与现有的实验数据进行了比较。协议相当不错。
Impact of single particle onto a rigid substrate leads to its deformation and fragmentation. The flow associated with the particle spreading on a solid substrate after impact is extremely complicated. In this theoretical study a simplified model for the plastic flow with the rate-dependent yield strength is developed. The flow in the particle is approximated by an incompressible inviscid flow past a thin rigid disk. The expression for the pressure field distribution is obtained in the vicinity of the impact axis. The total momentum balance of the particle is used to derive the equations of the particle deformation by impact. The theoretical predictions of the typical geometrical parameters of the particle, the peak force and the evolution of the force in time are compared with the existing experimental data. The agreement is rather good.
