物理可实现kagome超材料的理论框架及其对对偶性和拓扑边缘模的启示
A theoretical framework for physically-realizable kagome metamaterials and its implications on dualities and topological edge modes
AI总结：
针对现有kagome超材料理论缺乏真实结构效应考量的问题，本文提出将三角形和韧带分别建模为刚体和弹性弹簧的理论框架，经有限元验证后推导出色散对偶性等特性的实现条件，为波调控超材料设计提供新思路。
摘要：
自理想化球-弹簧kagome晶格中发现拓扑模以来，研究人员投入大量工作通过实用制造技术实现这些理想晶格的力学类似物。尽管已有针对这些力学类似物的数值和实验表征研究，但考虑真实结构效应（例如细韧带的弯曲行为——这与允许自由旋转的理想铰链不同）的理论建模一直较为缺乏。本文提出了一个理论框架，用于研究由实心三角形和韧带构成的物理可实现kagome超材料的动力学特性，其中三角形和韧带分别被建模为刚体和弹性弹簧。将经有限元分析验证的该框架应用于扭曲和变形的kagome超材料，我们从理论上推导了实现包括色散对偶性和拓扑边缘模在内的若干独特动力学特性所需的条件。本研究明确揭示了结构组分对这些特性的影响，可为基于kagome的超材料中的波传播调控提供新的设计策略。
英文摘要：
Since the discovery of topological modes in idealized ball-and-spring kagome lattices, significant efforts have been devoted to realizing mechanical analogues of these ideal lattices via practical fabrication techniques. While numerical and experimental characterizations of these mechanical analogues have been reported, theoretical modeling that accounts for realistic structural effects (e.g., the bending behavior of thin ligaments-a departure from ideal hinges allowing free rotation) has been lacking. Here we propose a theoretical framework to investigate the dynamic properties of physically-realizable kagome metamaterials consisting of solid triangles and ligaments, in which triangles and ligaments are modeled as rigid bodies and elastic springs, respectively. By applying the framework, validated through finite element analysis, to twisted and deformed kagome metamaterials, we theoretically show the required conditions for achieving certain unique dynamic properties, including dispersion dualities and topological edge modes. The presented study unequivocally reveals the effects of structural components on these properties, which could enable new design strategies for wave propagation manipulation in kagome-based metamaterials.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
