Chen Ziguang, Yang Jiashi, Tan Li
Department of Engineering Mechanics, University of Nebraska, Lincoln, Nebraska 68588-0526, USA.
J Phys Chem B. 2008 Nov 27;112(47):14766-71. doi: 10.1021/jp8046399.
Periodic soft nanostructures are building blocks for small devices. However, mechanical failure in the form of structure buckling or distortion from their original shape is often reported when the dimension of these soft structures were reduced to below submicron scale. Such a phenomenon seriously limits a reliable impact of these nanostructures to greater applications. Current understandings of buckling of soft 2-D nanostructures are limited. The substrate for these soft nanostructures is usually very compliant. Neighboring nanostructures could interact through the deformation of the substrate. We analyze the collective buckling of a two-dimensional array of nanoscale columns with their lower ends built into an elastic substrate. Buckling of these nanostructures is mathematically described by an eigenvalue problem. Numerical analyses show patterned collapse for these 2-D nanostructures, qualitatively matching reported experimental findings. Our efforts are useful toward the understanding and manufacturing of many two-dimensional nanoscale features.
周期性软纳米结构是小型器件的构建单元。然而，当这些软结构的尺寸减小到亚微米尺度以下时，经常会出现结构屈曲或从其原始形状变形等机械故障。这种现象严重限制了这些纳米结构在更广泛应用中的可靠影响。目前对软二维纳米结构屈曲的理解有限。这些软纳米结构的基底通常非常柔顺。相邻的纳米结构可以通过基底的变形相互作用。我们分析了纳米级柱二维阵列的集体屈曲，其下端嵌入弹性基底中。这些纳米结构的屈曲在数学上由一个特征值问题描述。数值分析显示了这些二维纳米结构的图案化坍塌，定性地与报道的实验结果相符。我们的工作有助于理解和制造许多二维纳米级特征。
