Davidovitch Benny
Department of Physics, University of Massachusetts, Amherst, Massachusetts 01003, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Aug;80(2 Pt 2):025202. doi: 10.1103/PhysRevE.80.025202. Epub 2009 Aug 24.
We study the shapes of elastic membranes under the simultaneous exertion of tensile and compressive forces when the translational symmetry along the tension direction is broken. We predict a multitude of morphological phases in various regimes of a two-dimensional parameter space (in ,nu) that defines the relevant mechanical and geometrical conditions. These parameters are, respectively, the ratio between compression and tension, and the wavelength contrast along the tension direction. The predicted patterns emerge through new transition and instability mechanisms and include several types of irregular and smooth cascades composed of wrinkles and sharp folds. In particular, the hierarchical morphology predicted under high tension and large wavelength contrast (in< 1, nu> 1) , explains recent experimental observations on ultrathin membranes floating on liquid.
当沿拉伸方向的平移对称性被打破时，我们研究了在拉伸力和压缩力同时作用下弹性膜的形状。我们预测了二维参数空间（in，nu）的各种区域中的多种形态相，该参数空间定义了相关的力学和几何条件。这些参数分别是压缩与拉伸之比，以及沿拉伸方向的波长对比度。预测的图案通过新的转变和不稳定性机制出现，包括由皱纹和尖锐褶皱组成的几种不规则和平滑的级联。特别是，在高张力和大波长对比度（in<1，nu>1）下预测的分层形态，解释了最近关于漂浮在液体上的超薄膜的实验观察结果。
