A reciprocal structure (RS) is a mechanical resistant structure formed by a set of self-supporting elements satisfying certain conditions of structural reciprocity (SR) . The first condition is that each element of the structure has to support and be supported by the others. The second condition is that these functions cannot occur in the same part of the element. These two properties make beams and two-dimensional materials very much appropriate to build RSs. Commonly seen in floors or roofs, SR is also present in art, religious symbols and decorative objects. Da Vinci has drawn several examples of such RSs. Here, we propose a simple nano version of a da Vinci's RS based on graphene nanoribbons. The stability and resistance against mechanical impacts (ballistic projectile) were investigated through fully atomistic molecular dynamics (MD) simulations. We considered structures with three and four joins with and without RS topologies. Our MD results showed that structures with RS topologies are more impact resistant than those without SR, despite the fact that the used graphene nanoribbons are highly pliable. We discuss these results in terms of the number of joins, energy absorption and stress on the structures. We discuss possible applications in nanoengineering.

中文翻译：

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达芬奇互易结构的基于石墨烯的纳米级版本

互易结构（RS）是由一组满足一定结构互易（SR）条件的自支撑元件形成的机械抵抗结构。第一个条件是结构的每个元素都必须支持其他元素并被其他元素支持。第二个条件是这些功能不能出现在元素的同一部分。这两个特性使梁和二维材料非常适合构建 RS。SR 常见于地板或屋顶，也存在于艺术、宗教符号和装饰品中。达芬奇已经绘制了几个此类 RS 的例子。在这里，我们提出了一种基于石墨烯纳米带的简单纳米版本的达芬奇 RS。通过完全原子分子动力学 (MD) 模拟研究了对机械冲击（弹道弹丸）的稳定性和抵抗力。我们考虑了具有和不具有 RS 拓扑的具有三个和四个连接的结构。我们的 MD 结果表明，尽管使用的石墨烯纳米带非常柔韧，但具有 RS 拓扑的结构比没有 SR 的结构更耐冲击。我们根据连接数量、能量吸收和结构上的应力来讨论这些结果。我们讨论在纳米工程中的可能应用。我们根据连接数量、能量吸收和结构上的应力来讨论这些结果。我们讨论在纳米工程中的可能应用。我们根据连接数量、能量吸收和结构上的应力来讨论这些结果。我们讨论在纳米工程中的可能应用。