A unified framework for analyzing the existence of ground states in wide classes of elastic complex bodies is presented here. The approach makes use of classical semicontinuity results, Sobolev mappinngs and Cartesian currents. Weak diffeomorphisms are used to represent macroscopic deformations. Sobolev maps and Cartesian currents describe the inner substructure of the material elements. Balance equations for irregular minimizers are derived. A contribution to the debate about the role of the balance of configurational actions follows. After describing a list of possible applications of the general results collected here, a concrete discussion of the existence of ground states in thermodynamically stable quasicrystals is presented at the end.
Ground states in complex bodies / Paolo Maria Mariano; Giuseppe Modica. - In: ESAIM. COCV. - ISSN 1292-8119. - STAMPA. - 15:(2009), pp. 377-402. [10.1051/cocv:2008036]
Ground states in complex bodies
Paolo Maria Mariano
;Giuseppe Modica
2009
Abstract
A unified framework for analyzing the existence of ground states in wide classes of elastic complex bodies is presented here. The approach makes use of classical semicontinuity results, Sobolev mappinngs and Cartesian currents. Weak diffeomorphisms are used to represent macroscopic deformations. Sobolev maps and Cartesian currents describe the inner substructure of the material elements. Balance equations for irregular minimizers are derived. A contribution to the debate about the role of the balance of configurational actions follows. After describing a list of possible applications of the general results collected here, a concrete discussion of the existence of ground states in thermodynamically stable quasicrystals is presented at the end.File | Dimensione | Formato | |
---|---|---|---|
J47.pdf
Accesso chiuso
Descrizione: Articolo principale
Tipologia:
Pdf editoriale (Version of record)
Licenza:
Creative commons
Dimensione
376.39 kB
Formato
Adobe PDF
|
376.39 kB | Adobe PDF | Richiedi una copia |
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.