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The Shape of Hanging Elastic Cylinders
- Source :
- Soft Matter, Soft Matter, Royal Society of Chemistry, 2019, 15 (27), pp.5464-5473. ⟨10.1039/C9SM00625G⟩
- Publication Year :
- 2019
- Publisher :
- arXiv, 2019.
-
Abstract
- International audience; Deformations of heavy elastic cylinders with their axis in the direction of earth's gravity field are investigated. The specimens, made of polyacrylamide hydrogels, are attached from their top circular cross section to a rigid plate. An equilibrium configuration results from the interplay between gravity that tends to deform the cylinders downwards under their own weight, and elasticity that resists these distortions. The corresponding steady state exhibits fascinating shapes which are measured with lab-based micro-tomography. For any given initial radius to height ratio, the deformed cylinders are no longer axially symmetric beyond a critical value of a control parameter that depends on the volume force, the height and the elastic modulus: self-similar wrinkling hierarchies develop, and dimples appear at the bottom surface of the shallowest samples. We show that these patterns are the consequences of elastic instabilities.
- Subjects :
- Gravity (chemistry)
Materials science
FOS: Physical sciences
02 engineering and technology
General Chemistry
Mechanics
Radius
[CHIM.MATE]Chemical Sciences/Material chemistry
Condensed Matter - Soft Condensed Matter
010402 general chemistry
021001 nanoscience & nanotechnology
Condensed Matter Physics
Critical value
01 natural sciences
0104 chemical sciences
Cross section (physics)
[CHIM.POLY]Chemical Sciences/Polymers
Gravitational field
Soft Condensed Matter (cond-mat.soft)
Elasticity (economics)
0210 nano-technology
Axial symmetry
Elastic modulus
[PHYS.COND.CM-SCM]Physics [physics]/Condensed Matter [cond-mat]/Soft Condensed Matter [cond-mat.soft]
Subjects
Details
- ISSN :
- 1744683X and 17446848
- Database :
- OpenAIRE
- Journal :
- Soft Matter, Soft Matter, Royal Society of Chemistry, 2019, 15 (27), pp.5464-5473. ⟨10.1039/C9SM00625G⟩
- Accession number :
- edsair.doi.dedup.....65b693d18fc9205c32f1565f373c4c7d
- Full Text :
- https://doi.org/10.48550/arxiv.1901.03969