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Indentation of ellipsoidal and cylindrical elastic shells
- Source :
- 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⟩
- Publication Year :
- 2016
-
Abstract
- 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.
- Subjects :
- 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
Subjects
Details
- ISSN :
- 00319007 and 10797114
- Database :
- OpenAIRE
- Journal :
- 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⟩
- Accession number :
- edsair.doi.dedup.....10fb18fdab9090b09d061c17eef7edc0