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Mass-velocity correlation in impact induced fragmentation of heterogeneous solids

机译：碰撞引起的非均质固体碎裂中的质速相关性

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摘要

We study the impact fragmentation of disordered solids by means of a discrete element model focusing on the velocity and mass-velocity correlation of fragments. Simulations are performed with plate-like objects varying the plate thickness and the impact velocity in broad ranges. Depending on the impact velocity the breakup process has two different outcomes: at low velocities the sample gets only damaged, to achieve fragmentation, where no large residues survive, the impact velocity has to surpass a critical value. In the fragmented phase the velocity components of fragments are power law distributed with a stretched exponential cutoff, where the impact velocity and plate thickness mainly control the standard deviation of the distributions. Mass velocity correlation is only pointed out for thin plates, while it disappears for three-dimensional bulk samples. In the damage phase of thin plates the mass and velocity of fragments proved to be strongly correlated, however, in the fragmented phase correlation occurs in the vicinity of the critical velocity and it is limited to the large fragments only. The correlation function decays as a power law with different exponents for small and large fragments in good agreement with recent experimental findings. We show that the mass-velocity correlation originates from the spatial dependence of the mass and velocity of pieces inside the fragmenting body.
机译：我们通过关注碎片的速度和质量-速度相关性的离散元模型研究无序固体的撞击碎裂。用板状物体进行模拟，可在宽范围内改变板厚度和冲击速度。根据撞击速度，破碎过程会产生两种不同的结果：在低速度下，样品仅受到破坏，以实现破碎，而没有大的残留物存活，则撞击速度必须超过临界值。在破碎阶段，碎片的速度分量是幂律分布，具有拉伸的指数截止值，其中冲击速度和板厚主要控制着分布的标准偏差。仅针对薄板指出了质量速度相关性，而对于三维散装样品则消失了。在薄板的损伤阶段，碎片的质量和速度被证明是高度相关的，但是在碎片阶段，相关性发生在临界速度附近，并且仅限于大碎片。相关函数作为幂律衰减，与大片段的指数不同，与最近的实验结果很好地吻合。我们显示质量速度相关性源自碎片体内碎片的质量和速度的空间依赖性。

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