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SUMMARY:Playing with magnetic chains: from self-buckling to self-assembly 
 - Alain Goriely (University of Oxford)
DTSTART:20171130T111000Z
DTEND:20171130T115000Z
UID:TALK96154@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Spherical neodymium-iron-boron magnets are marketed as toys as
  they can be assembled into different shapes due to their high magnetic st
 rength. In particular\, we consider  two simple structures\, chains and cy
 linders of magnets. By manipulating these structures\, it quickly appears 
 that they exhibit an  elastic response to small deformations. Indeed\, cha
 ins  buckle on their own weight\, rings oscillate\, and cylinders resist b
 ending but recover their shape after poking. A natural question is then to
  understand the response of these structures based on the individual physi
 cal properties of the magnets and to understand to what extent they behave
  elastically.   In this talk\, I will show  through illustrative experimen
 ts and simple model calculations  that the  idea of an effective magnetic 
 bending stiffness is\, in fact\, an excellent macroscopic characterisation
  for the mechanical response of magnetic chains. I will then propose a mor
 e rigorous approach of the problem by considering  discrete-to-continuum a
 symptotic analysis to derive a continuum model for the energy of a deforme
 d chain of magnets based on the magnetostatic interactions between individ
 ual spheres.
LOCATION:Seminar Room 1\, Newton Institute
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