Assur graphs, marginally jammed packings, and reconfigurable metamaterials
Assur graphs, marginally jammed packings, and reconfigurable metamaterials
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DOI：
10.1103/physrevresearch.5.l042001
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发表时间：
2022-12
影响因子：
4.2
通讯作者：
Jose Ortiz-Tavarez;E. Stanifer;Xiaoming Mao
中科院分区：
文献类型：
--
作者：
Jose Ortiz-Tavarez;E. Stanifer;Xiaoming Mao
等静框架是同时刚性和无自应力状态的机械网络，并且是理解软物质相变和机械超材料设计的有力概念。在这里，我们分析均衡框架的子结构，通过将“阿苏尔图”推广到环面，并在物理系统中检查它们。我们表明，接触网络的边缘堵塞填料的方法环面阿苏尔图的热力学极限，并演示如何阿苏尔图提供了一个新的设计原理，机械超材料中的运动和应力可以传播的可重构的路径，而整个结构的刚度保持。
Isostatic frames are mechanical networks that are simultaneously rigid and free of self-stress states, and is a powerful concept in understanding phase transitions in soft matter and designing of mechanical metamaterials. Here we analyze substructures of isostatic frames, by generalizing ``Assur graphs'' to the torus and examine them in physical systems. We show that the contact network of marginally jammed packings approach torus Assur graphs in the thermodynamic limit, and demostrate how Assur graphs offer a new design principle for mechanical metamaterials in which motion and stress can propagate in reconfigurable pathways, while rigidity of the entire structure is maintained.