Buckling of a stiff film bound to a compliant substrate - Part II: A global scenario for the formation of herringbone pattern
Buckling of a stiff film bound to a compliant substrate - Part II: A global scenario for the formation of herringbone pattern
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DOI：
10.1016/j.jmps.2008.03.002
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发表时间：
2008-07-01
影响因子：
5.3
通讯作者：
Boudaoud, Arezki
中科院分区：
文献类型：
--
作者：
Audoly, Basile;Boudaoud, Arezki
本文研究了弹性薄膜与柔性衬底的压曲问题。我们专注于一个家庭的屈曲模式，这样的膜轮廓是由一个单一的变量的两个功能。这一族包括未屈曲构型、由直条纹构成的经典主模态、由第一篇论文中研究的二次不稳定性得到的波状条纹模态以及最后一篇论文中研究的人字形模态。介绍了一种用于分析这些模式的简化屈曲模型。它是解决了中等或大的残余压应力在膜中的解析。数值模拟的基础上，一个有效的实施。总的来说，分析提供了一个全球性的图片，形成人字形图案下的残余应力增加。膜的形状被示出为在大负载下收敛到具有脊的可展形状。首先由主屈曲分叉选择的图案的波长在随后的载荷增加期间被冻结。(c)2008爱思唯尔有限公司保留所有权利。
We study the buckling of a thin compressed elastic film bonded to a compliant substrate. We focus on a family of buckling patterns, such that the film profile is generated by two functions of a single variable. This family includes the unbuckled configuration, the classical primary mode made of straight stripes, as well the pattern with undulating stripes obtained by a secondary instability investigated in the first companion paper, and the herringbone pattern studied in last companion paper. A simplified buckling model relevant for the analysis of these patterns is introduced. It is solved analytically for moderate or for large residual compressive stress in the film. Numerical simulations are presented, based on an efficient implementation. Overall, the analysis provides a global picture for the formation of herringbone patterns under increasing residual stress. The film shape is shown to converge at large load to a developable shape with ridges. The wavelength of the pattern, selected in a first place by the primary buckling bifurcation, is frozen during the subsequent increase of loading. (c) 2008 Elsevier Ltd. All rights reserved.