A smooth cascade of wrinkles at the edge of a floating elastic film

Autor:	Huang, Jiangshui, Davidovitch, Benny, Santangelo, Christian, Russell, Thomas P., Menon, Narayanan
Rok vydání:	2009
Předmět:	Condensed Matter - Soft Condensed Matter Condensed Matter - Materials Science Nonlinear Sciences - Pattern Formation and Solitons
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevLett.105.038302
Popis:	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. Comment: 4 pages, 4 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0901.2892 Zobrazit plný text záznamu View this record from Arxiv