We study two variational models recently proposed in the literature to describe the mechanical behaviour of nematic elastomers either in the fully nonlinear regime or in the framework of a geometrically linear theory. We show that, in the small strain limit, the energy functional of the first one Γ-converges to the relaxation of the second one, a functional for which an explicit representation formula is available.
Γ-convergence of energies for nematic elastomers in the small strain limit
Agostiniani, Virginia;
2011-01-01
Abstract
We study two variational models recently proposed in the literature to describe the mechanical behaviour of nematic elastomers either in the fully nonlinear regime or in the framework of a geometrically linear theory. We show that, in the small strain limit, the energy functional of the first one Γ-converges to the relaxation of the second one, a functional for which an explicit representation formula is available.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Cvg_NE_Ago_DeS.pdf
accesso aperto
Descrizione: articolo principale
Tipologia:
Documento in Post-print
Licenza:
Creative commons
Dimensione
340.59 kB
Formato
Adobe PDF
|
340.59 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
