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Stress transmission through three-dimensional granular crystals with stacking faults

机译：应力通过具有堆积缺陷的三维粒状晶体传递

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摘要

We explore the effect of stacking fault defects on the transmission of forces in three-dimensional face-centered-cubic granular crystals. An external force is applied to a small area at the top surface of a crystalline packing of granular beads containing one or two stacking faults at various depths. The response forces at the bottom surface are measured and found to correspond to predictions based on vector force balance within the geometry of the defects. We identify the elementary stacking fault as a boundary between two pure face-centered-cubic crystals with different stacking orders. Other stacking faults produce response force patterns that can be viewed as resulting from repetitions of this basic defect. As the number of stacking faults increases, the intensity pattern evolves toward that of an hexagonal-close-packed crystal. This leads to the conclusion that the force pattern of that crystal structure can be viewed as the extreme limit of a face-centered-cubic crystal with a stacking fault at every layer.
机译：我们探索了堆叠缺陷缺陷对三维面心立方粒状晶体中力传递的影响。外力作用于颗粒状小球的晶体堆积顶表面的一小部分区域，该小球包含一个或两个不同深度的堆垛层错。测量底表面的响应力，并发现其对应于基于缺陷几何内矢量力平衡的预测。我们将基本堆垛层错确定为两个具有不同堆垛顺序的纯面心立方晶体之间的边界。其他堆叠故障会产生响应力模式，可以将其视为重复此基本缺陷而导致的结果。随着堆垛层错的数量增加，强度模式向六角密堆积晶体的方向发展。由此得出的结论是，该晶体结构的力图可以看作是面心立方晶体在每一层都具有堆叠缺陷的极限。

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