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Geometry-induced rigidity in nonspherical pressurized elastic shells.
MedLine Citation:
PMID:  23083245     Owner:  NLM     Status:  In-Data-Review    
Abstract/OtherAbstract:
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.
Authors:
A Lazarus; H C B Florijn; P M Reis
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Publication Detail:
Type:  Journal Article     Date:  2012-10-05
Journal Detail:
Title:  Physical review letters     Volume:  109     ISSN:  1079-7114     ISO Abbreviation:  Phys. Rev. Lett.     Publication Date:  2012 Oct 
Date Detail:
Created Date:  2012-10-22     Completed Date:  -     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  0401141     Medline TA:  Phys Rev Lett     Country:  United States    
Other Details:
Languages:  eng     Pagination:  144301     Citation Subset:  IM    
Affiliation:
EGS. Lab: Elasticity, Geometry and Statistics Laboratory, Department of Mechanical Engineering, Department of Civil & Environmental Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.
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