在浮动的弹性薄膜边缘的平滑的瀑布状皱纹
A smooth cascade of wrinkles at the edge of a floating elastic film
摘要:
图案化状态的机制,其中容纳打破平移对称性的相边界或样品壁已解决的背景下,在第一型超导体的朗道分支,细化磁畴,和压缩弹性片。我们通过研究漂浮在流体表面上的聚合物薄片来探索这个问题,该聚合物薄片装饰有平行皱纹的图案。在片材的边缘处,该波纹状轮廓与流体弯月面相遇。而不是分支的皱纹成一代又一代的越来越小的尖锐的褶皱,我们发现了一个平滑的级联,其中粗图案在散装相匹配的精细结构的边缘连续引入离散的,更高的波数傅立叶模式。所观察到的多尺度形态是由一个无量纲的参数,量化的相对强度的边缘力和刚度的散装模式。
英文摘要:
The mechanism by which a patterned state accommodates the breaking of translational symmetry by a phase boundary or a sample wall has been addressed in the context of Landau branching in type-I superconductors, refinement of magnetic domains, and compressed elastic sheets. We explore this issue by studying an ultrathin polymer sheet floating on the surface of a fluid, decorated with a pattern of parallel wrinkles. At the edge of the sheet, this corrugated profile meets the fluid meniscus. Rather than branching of wrinkles into generations of ever-smaller sharp folds, we discover a smooth cascade in which the coarse pattern in the bulk is matched to fine structure at the edge by the continuous introduction of discrete, higher wavenumber Fourier modes. The observed multiscale morphology is controlled by a dimensionless parameter that quantifies the relative strength of the edge forces and the rigidity of the bulk pattern.
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