Self-encapsulation, or the 'dripping' of an elastic rod

Proceedings. Mathematical, Physical, and Engineering Sciences
F BosiD Bigoni

Abstract

A rod covering a fixed span is loaded at the middle with a transverse force, such that with increasing load a progressive deflection occurs. After a certain initial deflection, a phenomenon is observed where two points of the rod come in contact with each other. This is defined as the 'dripping point' and is when 'self-encapsulation' of the elastic rod occurs. Dripping seems at a first glance to be impossible and definitely cannot occur in the presence of 'ordinary' constraints (such as simple supports or clamps) at the ends of the span. However, the elastica governs oscillating pendulums, buckling rods and pendant drops, so that a possibility for self-encapsulation might be imagined. This phenomenon is indeed demonstrated (both theoretically and experimentally) to occur when at least one of the constraints at the ends of the rod is a sliding sleeve. This mechanical device generates a configurational force, causing the dripping of the rod, in a fully elastic set-up.

References

Jun 15, 2011·Proceedings of the National Academy of Sciences of the United States of America·Arnaud AntkowiakMarco Rivetti
Mar 28, 2012·Proceedings of the National Academy of Sciences of the United States of America·Jongmin ShimPedro M Reis
Feb 11, 2014·Proceedings. Mathematical, Physical, and Engineering Sciences·Dominic VellaAlain Goriely
Sep 10, 2014·Proceedings. Mathematical, Physical, and Engineering Sciences·F BosiD Bigoni
Nov 11, 2014·Proceedings. Mathematical, Physical, and Engineering Sciences·D BigoniF Bosi

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Citations

Jul 21, 2016·Proceedings. Mathematical, Physical, and Engineering Sciences·Alexandre HuynenVincent Denoël
Sep 3, 2019·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·G CartaA B Movchan
Sep 3, 2019·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·F Dal CorsoD Bigoni
Jan 14, 2017·Physical Review. E·F BosiD Bigoni
Sep 28, 2017·Physical Review. E·Rodolfo Brandão, José A Miranda
Oct 22, 2016·Soft Matter·Etienne Jambon-PuilletSuzie Protière
Mar 16, 2021·Materials Today. Bio·M C PugnoN M Pugno

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