تقرير
Wrinkles and folds in a fluid-supported sheet of finite size
| العنوان: | Wrinkles and folds in a fluid-supported sheet of finite size |
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| المؤلفون: | Oshri, Oz, Brau, Fabian, Diamant, Haim |
| المصدر: | Phys. Rev. E 91, 052408 (2015) |
| سنة النشر: | 2015 |
| المجموعة: | Condensed Matter Nonlinear Sciences |
| مصطلحات موضوعية: | Condensed Matter - Soft Condensed Matter, Nonlinear Sciences - Pattern Formation and Solitons, Nonlinear Sciences - Exactly Solvable and Integrable Systems |
| الوصف: | A laterally confined thin elastic sheet lying on a liquid substrate displays regular undulations, called wrinkles, characterized by a spatially extended energy distribution and a well-defined wavelength $\lambda$. As the confinement increases, the deformation energy is progressively localized into a single narrow fold. An exact solution for the deformation of an infinite sheet was previously found, indicating that wrinkles in an infinite sheet are unstable against localization for arbitrarily small confinement. We present an extension of the theory to sheets of finite length $L$, accounting for the experimentally observed wrinkle-to-fold transition. We derive an exact solution for the periodic deformation in the wrinkled state, and an approximate solution for the localized, folded state. We show that a second-order transition between these two states occurs at a critical confinement $\Delta_F=\lambda^2/L$. Comment: 15 pages |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevE.91.052408 |
| URL الوصول: | http://arxiv.org/abs/1503.01674 |
| رقم الأكسشن: | edsarx.1503.01674 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevE.91.052408 |
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