Handle URI:
http://hdl.handle.net/10754/598614
Title:
Indentation of Ellipsoidal and Cylindrical Elastic Shells
Authors:
Vella, Dominic; Ajdari, Amin; Vaziri, Ashkan; Boudaoud, Arezki
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.
Citation:
Vella D, Ajdari A, Vaziri A, Boudaoud A (2012) Indentation of Ellipsoidal and Cylindrical Elastic Shells. Physical Review Letters 109. Available: http://dx.doi.org/10.1103/PhysRevLett.109.144302.
Publisher:
American Physical Society (APS)
Journal:
Physical Review Letters
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
Oct-2012
DOI:
10.1103/PhysRevLett.109.144302
PubMed ID:
23083246
Type:
Article
ISSN:
0031-9007; 1079-7114
Sponsors:
This publication is based on work supported in part by Grant No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST) (D. V.). A. A. and A. V. are thankful for the support of NSF CMMI Grant No. 1149750. A. B. was supported by ANR-10BLAN-1516. During the completion of this work, we benefited from discussions with A. Lazarus and P. Reis about their experiments on a similar system [22].
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorVella, Dominicen
dc.contributor.authorAjdari, Aminen
dc.contributor.authorVaziri, Ashkanen
dc.contributor.authorBoudaoud, Arezkien
dc.date.accessioned2016-02-25T13:33:09Zen
dc.date.available2016-02-25T13:33:09Zen
dc.date.issued2012-10en
dc.identifier.citationVella D, Ajdari A, Vaziri A, Boudaoud A (2012) Indentation of Ellipsoidal and Cylindrical Elastic Shells. Physical Review Letters 109. Available: http://dx.doi.org/10.1103/PhysRevLett.109.144302.en
dc.identifier.issn0031-9007en
dc.identifier.issn1079-7114en
dc.identifier.pmid23083246en
dc.identifier.doi10.1103/PhysRevLett.109.144302en
dc.identifier.urihttp://hdl.handle.net/10754/598614en
dc.description.abstractThin 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.en
dc.description.sponsorshipThis publication is based on work supported in part by Grant No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST) (D. V.). A. A. and A. V. are thankful for the support of NSF CMMI Grant No. 1149750. A. B. was supported by ANR-10BLAN-1516. During the completion of this work, we benefited from discussions with A. Lazarus and P. Reis about their experiments on a similar system [22].en
dc.publisherAmerican Physical Society (APS)en
dc.titleIndentation of Ellipsoidal and Cylindrical Elastic Shellsen
dc.typeArticleen
dc.identifier.journalPhysical Review Lettersen
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
dc.contributor.institutionNortheastern University, Boston, United Statesen
dc.contributor.institutionUniversite de Lyon, Lyon, Franceen
kaust.grant.numberKUK-C1-013-04en

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