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SUMMARY:IGM Colloquium: Folding of a continuum and energy releasing or flu
 ttering rods
DTSTART:20181211T121500
DTEND:20181211T131500
DTSTAMP:20260428T152733Z
UID:fcda921ff44852981063c5b1807f407598b0ae3df709a7254e049117
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Davide Bigoni\, Department of Civil\, Environmental and 
 Mechanical Engineering\nUniversity of Trento\, Italy  \nIt will be shown 
 that Cosserat elastic solids with extreme anisotropy may exhibit folding a
 nd faulting\, the former being the process in which bending localizes into
  sharp corners separated by almost undeformed elements\, while the latter 
 corresponds to the formation of displacement jumps of finite size [1\,2]. 
 While faulting can be often observed in geological formations\, folding is
  rarely encountered in nature and is difficult to be described within the 
 realm of the Cauchy theory of elasticity\, but is shown to become possible
  in constrained Cosserat elastic materials.\nThe nonlinear theory of elast
 ic rods is a framework for describing bifurcation and instabilities of a n
 umber of interesting structures\, showing for instance configurational for
 ces analogous to those acting on dislocations in solids. Several problems 
 influenced by configurational forces or involving elastic energy releases 
 will be resented\, including snaking of an elastic rod [3\, 4].\nThe dynam
 ics of an elastic rod in a cantilever configuration and subject to a tange
 ntial follower load of the ‘Ziegler type’ at its end (the ‘Pfluger p
 roblem’) is finally addressed. This structure is subject to a Hopf bifur
 cation\, corresponding to the initiation of the so-called ‘flutter insta
 bility’. A new experimental set-up has been designed\, produced and test
 ed to realize the follower load. Experiments provide the evidence of flutt
 er and divergence instability and provide the first proof that damping sou
 rces have a destabilizing effect on the system (the so-called ‘Ziegler p
 aradox’) [5].\nReferences\n[1] Bigoni\, D.\, Gourgiotis\, P.A. (2016) Fo
 lding and faulting of an elastic continuum. Proc. Royal Soc. A 472\, 20160
 018.\n[2] Gourgiotis\, P.A.\, Bigoni\, D. (2017) The dynamics of folding i
 nstability in a constrained Cosserat medium. Phil. Trans. Royal Soc. A\, 3
 75\, 20160159.\n[3] Dal Corso\, F.\, Misseroni\, D.\, Pugno\, N.M.\, Movch
 an\, A.B.\, Movchan\, N.V.\, Bigoni\, D. (2017) Serpentine locomotion thro
 ugh elastic energy release. J. Royal Soc. Interface 14\, 20170055.\n[4] Ar
 manini\, C.\, Dal Corso\, F.\, Misseroni\, D.\, Bigoni\, D. (2017) From th
 e elastica compass to the elastica catapult: an essay on the mechanics of 
 soft robot arm. Proc. Royal Soc. A 473\, 20160870.\n[5] Bigoni\, D.\, Kiri
 llov\, O.\, Misseroni\, D.\, Noselli\, G.Tommasini\, M. (2018) Flutter and
  divergence instability in the Pflüger column: Experimental evidence of t
 he Ziegler destabilization paradox. J. Mech. Phys. Solids 116\, 99-116.\n\
 nBio:\nDavide Bigoni is a mechanician working in solid and structural mech
 anics and material modeling\, wave propagation\, fracture mechanics. His a
 pproach to research is the employment of a broad vision of mechanics\, wit
 h a combination of mathematical modelling\, numerical simulation\, and exp
 erimental validation. From 2001 Davide Bigoni holds a professor position a
 t the University of Trento\, where he is leading a group of excellent rese
 archers in the field of Solid and Structural Mechanics.\nHe has authored o
 r co-authored more than 100 journal papers and has published a book on non
 linear Solid Mechanics. He was elected in 2009 Euromech Fellow (of the Eur
 opean Mechanics Society)\, has received in 2012 the Ceramic Technology Tra
 nsfer Day Award (of the ACIMAC and ISTEC-CNR)\, in 2014 he has received th
 e Doctor Honoris Causa degree at the Ovidius University of Constanta and i
 n 2016 the Panetti and Ferrari Award for Applied Mechanics (from Accademia
  delle Scienze di Torino). He has been awarded an ERC advanced grant in 20
 13. He is co-editor of the Journal of Mechanics of Materials and Structure
 s and associate Editor of Mechanics Research Communications and in the edi
 torial board of 8 international journals.
LOCATION:MED 0 1418 https://plan.epfl.ch/?room==MED%200%201418
STATUS:CONFIRMED
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