Indentation of Ellipsoidal and Cylindrical Elastic Shells

Dominic Vella, Amin Ajdari, Ashkan Vaziri, Arezki Boudaoud

Research output: Contribution to journalArticlepeer-review

50 Scopus citations

Abstract

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 etal. [following paper, Phys. Rev. Lett. 109, 144301 (2012)PRLTAO0031-9007] 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. © 2012 American Physical Society.
Original languageEnglish (US)
JournalPhysical Review Letters
Volume109
Issue number14
DOIs
StatePublished - Oct 5 2012
Externally publishedYes

Fingerprint Dive into the research topics of 'Indentation of Ellipsoidal and Cylindrical Elastic Shells'. Together they form a unique fingerprint.

Cite this