SEMINARIO DI
SISTEMI
DINAMICI
ore
15.30
Scuola Normale
Superiore
Pisa
(Sala
Conferenze Collegio Puteano)
Paolo
Maria Mariano
Univeristà
di Firenze
Terrà un seminario dal
titolo:
“Complex
bodies as sections of fiber bundles and related variational
problems”
Abstract:
Chapters
of solid-state physics display examples of the phenomenology of materials–called
‘complex’–characterized by a drastic influence of microstructural mutations on
the global mechanical behaviour. The setting is widespread: it embodies examples
going from ferroelectrics to quasicrystals and biomaterials of various nature.
Relevant models in terms of continuum field theories reveal the presence of
structures which are common to large special classes of complex bodies. A
general model-building framework unifying available theories then arises: it is
also a flexible tool for the formulation of new special models for new
materials. Its construction implies essential ‘slidings’ in the basic paradigms
of traditional continuum mechanics. Non-trivial geometric and analytical
problems appear: their list includes minimization of energies over classes of
bodies rather than only classes of fields, transport of microstructures,
hyperbolic equations involving manifold-valued maps, the use of geometric
measure theory in the representation of the interactions amid material elements
ad so on.Essential themes and some open problems of the mechanics of complex
bodies are discussed in the seminar.
Tutti gli interessati
sono invitati a partecipare.
La Segreteria della
Classe
di Scienze