ArticleNature materials2011
Hierarchical folding of elastic membranes under biaxial compressive stress.
Article in Nature materials, 2011. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 34 papers.
What it found
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Who cites it
34 citing papers in PubMed.
- Recent Progress on Flexible Electronic Devices Based on Buckled Structures with Polymeric Substrates.Polymers · 2026Review
- Room temperature molding of amorphous dielectrics via van der Waals anisotropy at the nanoscale.Nature communications · 2026Article
- Reciprocal folding dynamics in cellular networks at the stroma-basement membrane interface.Acta biomaterialia · 2025Article
- Radiation protection and structural stability of fungal melanin polylactic acid biocomposites in low Earth orbit.Proceedings of the National Academy of Sciences of the United States of America · 2025Article
- Capillarity-induced fold localization in film-substrate systems.Interface focus · 2025Article
- Exacerbated sonic hedgehog signalling promotes a transition from chemical pre-patterning of chicken reticulate scales to mechanical skin folding.Open biology · 2025Article
- Tissue-scale in vitro epithelial wrinkling and wrinkle-to-fold transition.Nature communications · 2024Article
- Surface-dominant micro/nanofluidics for efficient green energy conversion.Biomicrofluidics · 2024Review
- Fixture-free omnidirectional prestretching fabrication and integration of crumpled in-plane micro-supercapacitors.Science advances · 2022Article
- Hierarchical transitions and fractal wrinkling drive bacterial pellicle morphogenesis.Proceedings of the National Academy of Sciences of the United States of America · 2021Article
- Flow-driven Surface Instabilities of Tubular Chitosan Hydrogel.Chemphyschem : a European journal of chemical physics and physical chemistry · 2021Article
- High-Definition Optophysical Image Construction Using Mosaics of Pixelated Wrinkles.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2020Article
- Folding drives cortical thickness variations.The European physical journal. Special topics · 2020Article
- Bioinspired Multiscale Wrinkling Patterns on Curved Substrates: An Overview.Nano-micro letters · 2020Review
- Tailor-made nanostructures bridging chaos and order for highly efficient white organic light-emitting diodes.Nature communications · 2019Article
- Article
- Fault-Tolerant Electro-Responsive Surfaces for Dynamic Micropattern Molds and Tunable Optics.Scientific reports · 2017Article
- Spontaneous formation of aligned DNA nanowires by capillarity-induced skin folding.Proceedings of the National Academy of Sciences of the United States of America · 2017Article
- Self-organization of maze-like structures via guided wrinkling.Science advances · 2017Article
- Wrinkling Non-Spherical Particles and Its Application in Cell Attachment Promotion.Scientific reports · 2016Article
Corrections and comments
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Authors and funding
3 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Mechanical instabilities that cause periodic wrinkling during compression of layered materials find applications in stretchable electronics and microfabrication, but can also limit an application's performance owing to delamination or cracking under loading and surface inhomogeneities during swelling. In particular, because of curvature localization, finite deformations can cause wrinkles to evolve into folds. The wrinkle-to-fold transition has been documented in several systems, mostly under uniaxial stress. 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 generations. 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 situations where stress impacts two-dimensional pattern formation.
Identifiers
22019942What OpenQuestion holds
Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.