Convergence of equilibria of thin elastic plates under physical growth conditions for the energy density
| dc.creator | Mora, Maria Giovanna | |
| dc.creator | Scardia, Lucia | |
| dc.date | 2009-01-26 | |
| dc.date.accessioned | 2026-07-07T12:34:34Z | |
| dc.date.available | 2026-07-07T12:34:34Z | |
| dc.description | The asymptotic behaviour of the equilibrium configurations of a thin elastic plate is studied, as the thickness $h$ of the plate goes to zero. More precisely, it is shown that critical points of the nonlinear elastic functional $\mathcal E^h$, whose energies (per unit thickness) are bounded by $Ch^4$, converge to critical points of the $Γ$-limit of $h^{-4}\mathcal E^h$. This is proved under the physical assumption that the energy density $W(F)$ blows up as $\det F\to0$. | |
| dc.description | 21 pages | |
| dc.identifier | https://arxiv.org/abs/0901.4041 | |
| dc.identifier | http://arxiv.org/abs/0901.4041 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/217482 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 74K20; 74B20, 49J45 | |
| dc.title | Convergence of equilibria of thin elastic plates under physical growth conditions for the energy density | |
| dc.type | text |