Indentation of ellipsoidal and cylindrical elastic shells
| Autor: | Amin Ajdari, Dominic Vella, Arezki Boudaoud, Ashkan Vaziri |
|---|---|
| Přispěvatelé: | University of Oxford, Dept Mech & Ind Engn, University of Toronto, Reproduction et développement des plantes (RDP), École normale supérieure de Lyon (ENS de Lyon)-Institut National de la Recherche Agronomique (INRA)-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université de Lyon-Centre National de la Recherche Scientifique (CNRS), Université de Lyon (COMUE), King Abdullah University of Science and Technology (KAUST) [KUK-C1-013-04], NSF CMMI Grant [1149750], [ANR-10BLAN-1516], University of Oxford [Oxford], Centre National de la Recherche Scientifique (CNRS)-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université de Lyon-Institut National de la Recherche Agronomique (INRA)-École normale supérieure - Lyon (ENS Lyon) |
| Rok vydání: | 2016 |
| Předmět: |
Materials science
[SDV]Life Sciences [q-bio] Nuclear Theory General Physics and Astronomy PRESSURE MEMBRANES 01 natural sciences SACCHAROMYCES-CEREVISIAE Egg Shell 03 medical and health sciences symbols.namesake Rigidity (electromagnetism) Indentation 0103 physical sciences Gaussian curvature medicine Thin shells Physics::Atomic and Molecular Clusters Animals [SDV.BV]Life Sciences [q-bio]/Vegetal Biology 010306 general physics 030304 developmental biology ATOMIC-FORCE MICROSCOPY 0303 health sciences Stiffness Mechanics Models Theoretical Physics::Classical Physics Ellipsoid Elasticity Biomechanical Phenomena Classical mechanics Buckling symbols medicine.symptom CAPSULES |
| Zdroj: | Physical Review Letters Physical Review Letters, 2012, 109 (14), ⟨10.1103/PhysRevLett.109.144302⟩ Physical Review Letters, American Physical Society, 2012, 109 (14), ⟨10.1103/PhysRevLett.109.144302⟩ |
| ISSN: | 0031-9007 1079-7114 |
| DOI: | 10.1103/PhysRevLett.109.144302⟩ |
| Popis: | International audience; Thin shells are found in nature at scales ranging from viruses to hens' eggs; the stiffness of such shells is essential for their function. We present the results of numerical simulations and theoretical analyses for the indentation of ellipsoidal and cylindrical elastic shells, considering both pressurized and unpressurized shells. We provide a theoretical foundation for the experimental findings of Lazarus et al. [following paper, Phys. Rev. Lett. 109, 144301 (2012)] and for previous work inferring the turgor pressure of bacteria from measurements of their indentation stiffness; we also identify a new regime at large indentation. We show that the indentation stiffness of convex shells is dominated by either the mean or Gaussian curvature of the shell depending on the pressurization and indentation depth. Our results reveal how geometry rules the rigidity of shells. |
| Databáze: | OpenAIRE |
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