Hierarchical folding of elastic membranes under biaxial compressive stress
| Autor: | Howard A. Stone, Manouk Abkarian, Pilnam Kim |
|---|---|
| Přispěvatelé: | Laboratoire Charles Coulomb (L2C), Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS) |
| Jazyk: | angličtina |
| Rok vydání: | 2011 |
| Předmět: |
réseau réticulé
Morphology (linguistics) Materials science nervures 02 engineering and technology Substrate (electronics) 010402 general chemistry film 01 natural sciences Viscoelasticity [PHYS.MECA.STRU]Physics [physics]/Mechanics [physics]/Structural mechanics [physics.class-ph] General Materials Science Boundary value problem Composite material Thin film Mechanical Engineering plis [SDV.BDD.MOR]Life Sciences [q-bio]/Development Biology/Morphogenesis General Chemistry 021001 nanoscience & nanotechnology Condensed Matter Physics 0104 chemical sciences Folding (chemistry) Compressive strength Membrane Mechanics of Materials [SPI.MECA.STRU]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Structural mechanics [physics.class-ph] rides 0210 nano-technology [PHYS.COND.CM-SCM]Physics [physics]/Condensed Matter [cond-mat]/Soft Condensed Matter [cond-mat.soft] Instabilité élastique |
| Zdroj: | Nature Materials Nature Materials, Nature Publishing Group, 2011, pp.1-6. ⟨10.1038/NMAT3144⟩ |
| ISSN: | 1476-1122 1476-4660 |
| DOI: | 10.1038/NMAT3144⟩ |
| Popis: | International audience; Mechanical instabilities that cause periodic wrinkling during compression of layered materials find applications in stretch- able electronics1-3 and microfabrication4-7 , but can also limit an application's performance owing to delamination or cracking under loading8 and surface inhomogeneities during swelling9. In particular, because of curvature localization, finite defor- mations can cause wrinkles to evolve into folds. The wrinkle- to-fold transition has been documented in several systems, mostly under uniaxial stress10-13. However, the nucleation, the spatial structure and the dynamics of the invasion of folds in two-dimensional stress configurations remain elusive. Here, using a two-layer polymeric system under biaxial compressive stress, we show that a repetitive wrinkle-to-fold transition generates a hierarchical network of folds during reorganization of the stress field. The folds delineate individual domains, and each domain subdivides into smaller ones over multiple gen- erations. By modifying the boundary conditions and geometry, we demonstrate control over the final network morphology. The ideas introduced here should find application in the many situa- tions where stress impacts two-dimensional pattern formation. |
| Databáze: | OpenAIRE |
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