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SUMMARY:Topological mechanical chains : hidden symmetries and nonlinear ph
 enomena - Georgios Theocharis (Université du Maine)
DTSTART:20230526T095000Z
DTEND:20230526T103500Z
UID:TALK198943@talks.cam.ac.uk
DESCRIPTION:Following the recent discovery of topological insulators in co
 ndensed matter physics\, a new notion of topology has emerged in associati
 on with the intrinsic wave dispersion of a structure. This has led to a pl
 ethora of mechanical designs with non-trivial and robust energy localizati
 on. In this talk\, after a short review of the different classes of topolo
 gical mechanical metamaterials\, we will introduce a new family of finite-
 frequency mechanical metamaterials that we have recently introduced. Here\
 , topological properties appear in deformation coordinates while topologic
 al edge waves appear for free boundaries. In the second part\, we will foc
 us our attention on the effect of nonlinearity. In particular\, we will di
 scuss our recent efforts to understand the interplay between nonlinearity 
 and topology in mechanical systems. By choosing simple topological systems
  and including different types of nonlinearities\, we will present various
  phenomena that we have predicted\, such as the amplitude-dependent topolo
 gical transition and the formation of solitons.
LOCATION:Seminar Room 1\, Newton Institute
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