ArticleNature materials2015
Curvature-induced symmetry breaking determines elastic surface patterns.
Article in Nature materials, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 36 papers.
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Who cites it
36 citing papers in PubMed.
- Sequential buckling in fluid-filled cylindrical shells.Communications physics · 2026Article
- A model for boundary-driven tissue morphogenesis.Proceedings of the National Academy of Sciences of the United States of America · 2025Article
- Symmetry Breaking in Meniscus Splitting: Effects of Boundary Conditions and Polymeric Membrane Growth.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2025Article
- Candidate transmission survival genome ofProceedings of the National Academy of Sciences of the United States of America · 2025Article
- Article
- Wrinkling of fluid deformable surfaces.Journal of the Royal Society, Interface · 2024Article
- Kirigami enabled reconfigurable three-dimensional evaporator arrays for dynamic solar tracking and high efficiency desalination.Science advances · 2024Article
- Preparation of a self-matting, anti-fingerprint and skin-tactile wood coating via biomimetic self-wrinkling patterns.Scientific reports · 2024Article
- The Fractal Geometry of the Human Brain: An Evolutionary Perspective.Advances in neurobiology · 2024Article
- Surface manipulation for prevention of migratory viscous crude oil fouling in superhydrophilic membranes.Nature communications · 2023Article
- Cellular adaptations leading to coral fragment attachment on artificial substrates in Acropora millepora (Am-CAM).Scientific reports · 2022Article
- Chiral topographic instability in shrinking spheres.Nature computational science · 2022Article
- Impact of environmental asymmetry on epithelial morphogenesis.Scientific reports · 2022Article
- Mechanics of tension-induced film wrinkling and restabilization: a review.Proceedings. Mathematical, physical, and engineering sciences · 2022Review
- Wrinkle force microscopy: a machine learning based approach to predict cell mechanics from images.Communications biology · 2022Article
- Active elastocapillarity in soft solids with negative surface tension.Science advances · 2022Article
- Direct numerical simulations of three-dimensional surface instability patterns in thin film-compliant substrate structures.Scientific reports · 2021Article
- Turing conditions for pattern forming systems on evolving manifolds.Journal of mathematical biology · 2021Article
- Transient structures in rupturing thin films: Marangoni-induced symmetry-breaking pattern formation in viscous fluids.Science advances · 2020Article
- Epithelial tissue folding pattern in confined geometry.Biomechanics and modeling in mechanobiology · 2020Article
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Authors and funding
5 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Symmetry-breaking transitions associated with the buckling and folding of curved multilayered surfaces-which are common to a wide range of systems and processes such as embryogenesis, tissue differentiation and structure formation in heterogeneous thin films or on planetary surfaces-have been characterized experimentally. Yet owing to the nonlinearity of the underlying stretching and bending forces, the transitions cannot be reliably predicted by current theoretical models. Here, we report a generalized Swift-Hohenberg theory that describes wrinkling morphology and pattern selection in curved elastic bilayer materials. By testing the theory against experiments on spherically shaped surfaces, we find quantitative agreement with analytical predictions for the critical curves separating labyrinth, hybrid and hexagonal phases. Furthermore, a comparison to earlier experiments suggests that the theory is universally applicable to macroscopic and microscopic systems. Our approach builds on general differential-geometry principles and can thus be extended to arbitrarily shaped surfaces.
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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.