论文标题
Assur图，略有堵塞的包装和可重新配置的超材料
Assur graphs, marginally jammed packings, and reconfigurable metamaterials
论文作者
论文摘要
等静力帧是机械网络，它们同时具有刚性且没有自我压力状态，并且是理解软物质和机械超材料设计相位过渡的强大概念。在这里，我们通过将``Assur graphs''概括为圆环并在物理系统中检查它们来分析等静态帧的子结构。我们表明，在热力学极限中，边缘封装的接触网络接近圆环图形，并撤销了Assur图为机械材料提供的新设计原理，其中运动和压力可以在可重构的途径中繁殖，而整个结构的刚性也可以维持。
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.
