发表机构
Tel Aviv University; Hiroshima University（特拉维夫大学; 广岛大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究通过混合不同梁厚度的受挫三角形网络，利用尺度论证和伊辛映射构建相图，实现局部双稳态与指数级稳定构型，并经实验验证，为编程多稳态和广泛简并性提供了新途径。
AI 中文摘要
我们引入了混合两种不同梁厚度的受挫三角形网络。这两种厚度将二阶屈曲和角度变形的能量成本分离为四个相互竞争的贡献。利用尺度论证和映射到有效伊辛描述，我们构建了系统在无量纲几何参数下的相图。选定的梁排列表现出局部双稳态：六边形图案在相反的扭转状态之间独立切换，而线性图案支持可独立切换的梁状态。在这两种情况下，机械稳定构型的数量随系统尺寸呈指数增长。在制造的硅胶超材料上的实验证实了预测的双稳态和局部切换。更一般地，允许的梁排列映射到菱形平铺，产生了巨大的架构组合空间。因此，该系统在架构和稳定变形状态上均实现了多重性，确立了梁厚度图案化作为在三角形力学超材料中编程受挫、多稳态和广泛简并性的途径。
英文摘要
We introduce frustrated triangular networks that mix two different beam thicknesses. The two thicknesses separate the energetic costs of second-order buckling and angular deformation into four competing contributions. Using scaling arguments and mapping to an effective Ising description, we construct the system's phase diagram in terms of its dimensionless geometric parameters. Selected beam arrangements exhibit local bistability: hexagonal motifs switch independently between opposite twisting states, while linear motifs support independently switchable beam states. In both cases, the number of mechanically stable configurations grows exponentially with system size. Experiments on fabricated silicone metamaterials confirm the predicted bistability and local switching. More generally, the allowed beam arrangements map onto rhombus tilings, producing a large combinatorial space of architectures. The system thus combines multiplicity in both architecture and stable deformation states, establishing beam-thickness patterning as a route for programming frustration, multistability, and extensive degeneracy in triangular mechanical metamaterials.
