Xu Fan, Potier-Ferry Michel
Institute of Mechanics and Computational Engineering, Department of Aeronautics and Astronautics, Fudan University, 220 Handan Road, Shanghai, 200433, P. R. China.
Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux, LEM3, UMR CNRS 7239, Université de Lorraine, 7 Rue Félix Savart, 57073 Metz Cedex 03, France.
Sci Rep. 2017 Dec 22;7(1):18081. doi: 10.1038/s41598-017-18267-0.
A basic characteristic of stiff film/soft substrate systems is their ability to experience large deformation under compressive stresses, which inevitably leads to formation of patterns on the surface. Such pattern formation is the result of loss of stability and symmetry breaking. Knowledge on how such instabilities arise and evolve is essential to describe, understand, predict, and ultimately to design complex functional materials and structures, for example the fabrication of stretchable electronic devices and micro/nano-scale surface patterning control. In this paper, quantitative predictions of various instability pattern formations and evolutions, which involve highly nonlinear deformation and multiple bifurcations, will be presented based on advanced mechanical models and methods, from planar to curved geometry. The results can provide further insight into fundamental understanding in a whole view of a variety of surface patterning morphology and imply a potential way to facilitate the design of functional materials and structures by quantitatively harnessing surface instabilities.
硬质薄膜/软质基底系统的一个基本特征是它们在压缩应力下能够经历大变形，这不可避免地导致表面形成图案。这种图案形成是稳定性丧失和对称性破缺的结果。了解这种不稳定性如何产生和演变对于描述、理解、预测以及最终设计复杂的功能材料和结构至关重要，例如可拉伸电子器件的制造和微/纳米尺度表面图案化控制。本文将基于先进的力学模型和方法，从平面几何到曲面几何，给出各种不稳定性图案形成和演变的定量预测，这些预测涉及高度非线性变形和多个分叉。研究结果能够从整体上进一步深入理解各种表面图案形态的基本原理，并暗示了一种通过定量利用表面不稳定性来促进功能材料和结构设计的潜在方法。
