论文标题
八个气泡压实中的对称断裂
Symmetry break in the eight bubble compaction
论文作者
论文摘要
几何和力学在确定泡沫结构中分配的8个气泡的三维堆积中具有相关的作用。我们假设气泡的空间排列遵守一个几何原理，最大程度地提高了气泡质心之间的最小相互距离。然后，通过在体积保护的约束下径向填充气泡来获得压实结构。我们在中央球体上产生一个多边形瓷砖，并具有平坦和弯曲界面的外围气泡。我们验证在合适的物理标准下获得的Polyhedra是最佳的。最后，我们强制实施机械平衡，从而施加了体积保护的约束。我们发现力场分布的各向异性：在气泡骨料的圆周方向上，气泡裂口界面的表面张力大于正常单位矢量径向从聚集体中指向的气泡聚集体的表面张力大。我们建议这种机械提示是该气泡配置对称断裂的关键。
Geometry and mechanics have both a relevant role in determining the three-dimensional packing of 8 bubbles displyaed in a foam structure. We assume that the spatial arrangement of bubbles obeys a geometrical principle maximizing the minimum mutual distance between the bubble centroids. The compacted structure is then obtained by radially packing the bubbles under constraint of volume conservation. We generate a polygonal tiling on the central sphere and peripheral bubbles with both flat and curved interfaces. We verify that the obtained polyhedra is optimal under suitable physical criteria. Finally, we enforce the mechanical balance imposing the constraint of conservation of volume. We find an anisotropy in the distribution of the field of forces: surface tensions of bubble-bubble interfaces with normal oriented in the circumferential direction of bubbles aggregate are larger than the ones with normal unit vector pointing radially out of the aggregate. We suggest that this mechanical cue is key for the symmetry break of this bubbles configuration.
