A rate-independent model for the quasistatic evolution of a magnetoelastic plate is advanced and analyzed. Starting from the three-dimensional setting, we present an evolutionary ?-convergence argument in order to pass to the limit in one of the material dimensions. By taking into account both conservative and dissipative actions, a nonlinear evolution system of rate-independent type is obtained. The existence of so-called energetic solutions to such system is proved via approximation.
Quasistatic evolution of magnetoelastic plates via dimension reduction
U Stefanelli;
2015
Abstract
A rate-independent model for the quasistatic evolution of a magnetoelastic plate is advanced and analyzed. Starting from the three-dimensional setting, we present an evolutionary ?-convergence argument in order to pass to the limit in one of the material dimensions. By taking into account both conservative and dissipative actions, a nonlinear evolution system of rate-independent type is obtained. The existence of so-called energetic solutions to such system is proved via approximation.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
prod_346817-doc_108971.pdf
non disponibili
Descrizione: Quasistatic evolution of magnetoelastic plates via dimension reduction
Tipologia:
Versione Editoriale (PDF)
Dimensione
412.29 kB
Formato
Adobe PDF
|
412.29 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
|
prod_346817-doc_152560.pdf
accesso aperto
Descrizione: Quasistatic evolution of magnetoelastic plates via dimension reduction
Tipologia:
Versione Editoriale (PDF)
Dimensione
353.15 kB
Formato
Adobe PDF
|
353.15 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
