Control of connectivity and rigidity in prismatic assemblies

Control of connectivity and rigidity in prismatic assemblies
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控制棱柱组件的连接性和刚性

DOI:
10.1098/rspa.2020.0485
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发表时间:
2020
期刊:
Physical and Engineering Sciences
影响因子:
--
通讯作者:
Mahadevan, L.
Mahadevan, L.
中科院分区:
--
文献类型:
--
作者:
Choi, Gary P.;Chen, Siheng;Mahadevan, L.

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How can we manipulate the topological connectivity of a three-dimensional prismatic assembly to control the number of internal degrees of freedom and the number of connected components in it? To answer this question in a deterministic setting, we use ideas from elementary number theory to provide a hierarchical deterministic protocol for the control of rigidity and connectivity. We then show that it is possible to also use a stochastic protocol to achieve the same results via a percolation transition. Together, these approaches provide scale-independent algorithms for the cutting or gluing of three-dimensional prismatic assemblies to control their overall connectivity and rigidity.
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