We consider a micropolar, linearly elastic plate-like body, clamped on its boundary and subject to a system of distance loads. We characterize, by means of Γ-convergence, the limit behavior of the solutions of the equilibrium problem when the thickness of the body vanishes. We show that, for the special case of isotropic mechanical response, the equilibrium problem described by our Γ-limit coincides with a boundary-value problem obtained in a recent deduction of a theory for shearable plates from micropolar elasticity.
Riey, G., Tomassetti, G. (2008). A variational model for linearly elastic micropolar plate-like bodies. JOURNAL OF CONVEX ANALYSIS, 15(4), 677-691.
A variational model for linearly elastic micropolar plate-like bodies
TOMASSETTI, GIUSEPPE
2008-01-01
Abstract
We consider a micropolar, linearly elastic plate-like body, clamped on its boundary and subject to a system of distance loads. We characterize, by means of Γ-convergence, the limit behavior of the solutions of the equilibrium problem when the thickness of the body vanishes. We show that, for the special case of isotropic mechanical response, the equilibrium problem described by our Γ-limit coincides with a boundary-value problem obtained in a recent deduction of a theory for shearable plates from micropolar elasticity.File | Dimensione | Formato | |
---|---|---|---|
2008 micropolar Journal of Convex Analysis.pdf
accesso aperto
Descrizione: Main article
Dimensione
156.88 kB
Formato
Adobe PDF
|
156.88 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.