We investigate a variational theory for magnetoelastic solids un- der the incompressibility constraint. The state of the system is described by deformation and magnetization. While the former is classically related to the reference configuration, magnetization is defined in the deformed configura- tion instead. We discuss the existence of energy minimizers without relying on higher-order deformation gradient terms. Then, by introducing a suitable pos- itively 1-homogeneous dissipation, a quasistatic evolution model is proposed and analyzed within the frame of energetic solvability.
Existence results for incompressible magnetoelasticity
U Stefanelli;
2015
Abstract
We investigate a variational theory for magnetoelastic solids un- der the incompressibility constraint. The state of the system is described by deformation and magnetization. While the former is classically related to the reference configuration, magnetization is defined in the deformed configura- tion instead. We discuss the existence of energy minimizers without relying on higher-order deformation gradient terms. Then, by introducing a suitable pos- itively 1-homogeneous dissipation, a quasistatic evolution model is proposed and analyzed within the frame of energetic solvability.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
prod_346820-doc_108974.pdf
solo utenti autorizzati
Descrizione: Existence results for incompressible magnetoelasticity
Tipologia:
Versione Editoriale (PDF)
Dimensione
352.51 kB
Formato
Adobe PDF
|
352.51 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
|
prod_346820-doc_152562.pdf
accesso aperto
Descrizione: Existence results for incompressible magnetoelasticity
Tipologia:
Versione Editoriale (PDF)
Dimensione
173.3 kB
Formato
Adobe PDF
|
173.3 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
