The matching property of infinitesimal isometries on elliptic surfaces and elasticity of thin shells
| dc.creator | Lewicka, Marta | |
| dc.creator | Mora, Maria Giovanna | |
| dc.creator | Pakzad, Mohammad Reza | |
| dc.date | 2008-11-13 | |
| dc.date.accessioned | 2026-07-07T10:18:21Z | |
| dc.date.available | 2026-07-07T10:18:21Z | |
| dc.description | Using the notion of Gamma-convergence, we discuss the limiting behavior of the 3d nonlinear elastic energy for thin elliptic shells, as their thickness h converges to zero, under the assumption that the elastic energy of deformations scales like $h^β$ with $2<β<4$. We establish that, for the given scaling regime, the limiting theory reduces to the linear pure bending. Two major ingredients of the proofs are: the density of smooth infinitesimal isometries in the space of $W^{2,2}$ first order infinitesimal isometries, and a result on matching smooth infinitesimal isometries with exact isometric immersions on smooth elliptic surfaces. | |
| dc.description | 21 pages | |
| dc.identifier | https://arxiv.org/abs/0811.2238 | |
| dc.identifier | http://arxiv.org/abs/0811.2238 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/174157 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 74K20; 74B20 | |
| dc.title | The matching property of infinitesimal isometries on elliptic surfaces and elasticity of thin shells | |
| dc.type | text |