Crumples as a Generic Stress-Focusing Instability in Confined Sheets
Thin elastic solids are easily deformed into a myriad of three-dimensional shapes, which may contain sharp localized structures as in a crumpled candy wrapper or have smooth and diffuse features like the undulating edge of a flower. Anticipating and controlling these morphologies is crucial to a var...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2020-04-01
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| Series: | Physical Review X |
| Online Access: | http://doi.org/10.1103/PhysRevX.10.021008 |
| _version_ | 1818428025335709696 |
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| author | Yousra Timounay Raj De Jessica L. Stelzel Zachariah S. Schrecengost Monica M. Ripp Joseph D. Paulsen |
| author_facet | Yousra Timounay Raj De Jessica L. Stelzel Zachariah S. Schrecengost Monica M. Ripp Joseph D. Paulsen |
| author_sort | Yousra Timounay |
| collection | DOAJ |
| description | Thin elastic solids are easily deformed into a myriad of three-dimensional shapes, which may contain sharp localized structures as in a crumpled candy wrapper or have smooth and diffuse features like the undulating edge of a flower. Anticipating and controlling these morphologies is crucial to a variety of applications involving textiles, synthetic skins, and inflatable structures. Here, we show that a “wrinkle-to-crumple” transition, previously observed in specific settings, is a ubiquitous response for confined sheets. This unified picture is borne out of a suite of model experiments on polymer films confined to liquid interfaces with spherical, hyperbolic, and cylindrical geometries, which are complemented by experiments on macroscopic membranes inflated with gas. We use measurements across this wide range of geometries, boundary conditions, and length scales to quantify several robust morphological features of the crumpled phase, and we build an empirical phase diagram for crumple formation that disentangles the competing effects of curvature and compression. Our results suggest that crumples are a generic microstructure that emerge at large curvatures due to a competition of elastic and substrate energies. |
| first_indexed | 2024-12-14T14:55:03Z |
| format | Article |
| id | doaj.art-5708983a7de04ef4bd3802fa6c8c4742 |
| institution | Directory Open Access Journal |
| issn | 2160-3308 |
| language | English |
| last_indexed | 2024-12-14T14:55:03Z |
| publishDate | 2020-04-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review X |
| spelling | doaj.art-5708983a7de04ef4bd3802fa6c8c47422022-12-21T22:57:01ZengAmerican Physical SocietyPhysical Review X2160-33082020-04-0110202100810.1103/PhysRevX.10.021008Crumples as a Generic Stress-Focusing Instability in Confined SheetsYousra TimounayRaj DeJessica L. StelzelZachariah S. SchrecengostMonica M. RippJoseph D. PaulsenThin elastic solids are easily deformed into a myriad of three-dimensional shapes, which may contain sharp localized structures as in a crumpled candy wrapper or have smooth and diffuse features like the undulating edge of a flower. Anticipating and controlling these morphologies is crucial to a variety of applications involving textiles, synthetic skins, and inflatable structures. Here, we show that a “wrinkle-to-crumple” transition, previously observed in specific settings, is a ubiquitous response for confined sheets. This unified picture is borne out of a suite of model experiments on polymer films confined to liquid interfaces with spherical, hyperbolic, and cylindrical geometries, which are complemented by experiments on macroscopic membranes inflated with gas. We use measurements across this wide range of geometries, boundary conditions, and length scales to quantify several robust morphological features of the crumpled phase, and we build an empirical phase diagram for crumple formation that disentangles the competing effects of curvature and compression. Our results suggest that crumples are a generic microstructure that emerge at large curvatures due to a competition of elastic and substrate energies.http://doi.org/10.1103/PhysRevX.10.021008 |
| spellingShingle | Yousra Timounay Raj De Jessica L. Stelzel Zachariah S. Schrecengost Monica M. Ripp Joseph D. Paulsen Crumples as a Generic Stress-Focusing Instability in Confined Sheets Physical Review X |
| title | Crumples as a Generic Stress-Focusing Instability in Confined Sheets |
| title_full | Crumples as a Generic Stress-Focusing Instability in Confined Sheets |
| title_fullStr | Crumples as a Generic Stress-Focusing Instability in Confined Sheets |
| title_full_unstemmed | Crumples as a Generic Stress-Focusing Instability in Confined Sheets |
| title_short | Crumples as a Generic Stress-Focusing Instability in Confined Sheets |
| title_sort | crumples as a generic stress focusing instability in confined sheets |
| url | http://doi.org/10.1103/PhysRevX.10.021008 |
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