Surface wrinkling of two mutually attracting elastic thin films due to van der Waals forces
Surface wrinkling of two mutually attracting elastic thin films due to van der Waals forces
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DOI：
10.1063/1.1418424
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发表时间：
2001-11
影响因子：
3.2
通讯作者：
C. Ru
中科院分区：
文献类型：
--
作者：
C. Ru
本文研究了平面应变条件下两个相互吸引的弹性薄膜在货车范德华力作用下的表面失稳问题。该分析是基于一个近似的方法，减少了一个二维的问题，一个一维的表面问题的弹性膜。这种方法比传统的方法简单得多，并且可以很容易地识别相互作用系数的临界值和表面不稳定模式。该方法的准确性证明了极好的协议（相对误差小于5%）之间的预测结果和已知的精确数据的弹性薄膜与刚性平面相互作用的特殊情况。当厚度比超过临界值时，两个厚度不等的弹性层的各个基本模式的不相容性会导致两种不同的亚稳态不稳定模式，而与刚性平面吸引的弹性膜的表面不稳定模式的唯一性相反。...
This article studies surface instability of two mutually attracting elastic films due to van der Waals forces under plane strain conditions. The analysis is based on an approximate method which reduces a two-dimensional problem of an elastic film to a one-dimensional surface problem. This method is much simpler than the conventional method and allows one to easily identify the critical value of the interaction coefficient and the surface instability mode. The accuracy of this method is demonstrated by the excellent agreement (with relative errors less than 5%) between the predicted results and the known exact data for a special case of an elastic film interacting with a rigid flat surface. The incompatibility of the individual fundamental modes of two elastic layers with unequal thickness results in two distinct metastable instability modes when the thickness ratio exceeds a critical value, in contrast to the uniqueness of the surface instability mode of an elastic film attracted to a rigid flat surface. ...