School of Engineering and Applied Sciences, Harvard University, Cambridge, Massachusetts 02138, USA.
Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA.
Phys Rev Lett. 2014 Mar 7;112(9):098701. doi: 10.1103/PhysRevLett.112.098701. Epub 2014 Mar 5.
Geometrical frustration arises when a local order cannot propagate throughout the space because of geometrical constraints. This phenomenon plays a major role in many systems leading to disordered ground-state configurations. Here, we report a theoretical and experimental study on the behavior of buckling-induced geometrically frustrated triangular cellular structures. To our surprise, we find that buckling induces complex ordered patterns which can be tuned by controlling the porosity of the structures. Our analysis reveals that the connected geometry of the cellular structure plays a crucial role in the generation of ordered states in this frustrated system.
当局部有序由于几何约束而无法在整个空间中传播时，就会出现几何阻挫。这种现象在许多导致无序基态构型的系统中起着重要作用。在这里，我们报告了对屈曲诱导的几何阻挫三角形多孔胞结构的行为的理论和实验研究。令我们惊讶的是，我们发现屈曲会诱导复杂的有序模式，通过控制结构的孔隙率可以对其进行调节。我们的分析表明，多孔胞结构的连通几何形状在这个受阻系统中产生有序状态方面起着关键作用。
