kirigami拓扑的确定性与随机控制
Deterministic and stochastic control of kirigami topology
摘要：
剪纸艺术是一种创造性的剪纸艺术，是机械超材料的一个很有前途的范例。然而，要使kirigami启发的结构成为现实，需要控制kirigami的拓扑结构，以实现连通性和刚性。我们解决这个问题，推导出的最大数量的削减（最小数量的链接），仍然允许我们保持全球刚性和连接的kirigami。一个确定性的层次结构方法产生一个有效的拓扑方式来控制连接件的数量和总的自由度。一个统计方法来控制kirigami的刚性和连通性与随机削减补充了确定性的途径，并表明，连接件的数量和自由度显示渗流过渡作为一个函数的密度削减（链接）。这为平面kirigami的刚性和连通性控制提供了一个通用框架。
英文摘要：
Kirigami, the creative art of paper cutting, is a promising paradigm for mechanical metamaterials. However, to make kirigami-inspired structures a reality requires controlling the topology of kirigami to achieve connectivity and rigidity. We address this question by deriving the maximum number of cuts (minimum number of links) that still allow us to preserve global rigidity and connectivity of the kirigami. A deterministic hierarchical construction method yields an efficient topological way to control both the number of connected pieces and the total degrees of freedom. A statistical approach to the control of rigidity and connectivity in kirigami with random cuts complements the deterministic pathway, and shows that both the number of connected pieces and the degrees of freedom show percolation transitions as a function of the density of cuts (links). Together this provides a general framework for the control of rigidity and connectivity in planar kirigami.
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