Geometry-Induced Rigidity in Nonspherical Pressurized Elastic Shells
Name
Lazarus-2012-Geometry-Induced Rigidity in Nonspherical Pressurized Elastic Shells.pdf
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573.23 KB
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Author(s)
Lazarus, Arnaud
Florijn, H. C. B.
Reis, Pedro Miguel
Date Issued
October 2012
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Lazarus, A., H. Florijn, and P. Reis. “Geometry-Induced Rigidity in Nonspherical Pressurized Elastic Shells.” Physical Review Letters 109.14 (2012). © 2012 American Physical Society
Version
Final published version
Abstract
We present results from an experimental investigation of the indentation of nonspherical pressurized elastic shells with a positive Gauss curvature. A predictive framework is proposed that rationalizes the dependence of the local rigidity of an indented shell on the curvature in the neighborhood of the locus of indentation, the in-out pressure differential, and the material properties. In our approach, we combine classic theory for spherical shells with recent analytical developments for the pressurized case, and proceed, for the most part, by analogy, guided by our own experiments. By way of example, our results elucidate why an eggshell is significantly stiffer when compressed along its major axis, as compared to doing so along its minor axis. The prominence of geometry in this class of problems points to the relevance and applicability of our findings over a wide range of length scales.
MIT Department
Massachusetts Institute of Technology. Department of Civil and Environmental Engineering
Massachusetts Institute of Technology. Department of Mechanical Engineering
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevLett.109.144301
