Asymptotic behavior of an elastic beam fixed on a small part of one of its extremities
| dc.creator | Casado-Diaz, Juan | |
| dc.creator | Luna-Laynez, Manuel | |
| dc.creator | Murat, Francois | |
| dc.date | 2004-07-27 | |
| dc.date.accessioned | 2026-07-07T05:10:43Z | |
| dc.date.available | 2026-07-07T05:10:43Z | |
| dc.description | We study the asymptotic behavior of the solution of an anisotropic, heterogeneous, linearized elasticity problem in a cylinder whose diameter $ε$ tends to zero. The cylinder is assumed to be fixed (homogeneous Dirichlet boundary condition) on the whole of one of its extremities, but only on a small part (of size $εr^ε$) of the second one; the Neumann boundary condition is assumed on the remainder of the boundary. We show that the result depends on $r^ε$, and that there are 3 critical sizes, namely $r^ε=ε^3$, $r^ε=ε$, and $r^ε=ε^{1/3}$, and in total 7 different regimes. We also prove a corrector result for each behavior of $r^ε$. | |
| dc.description | Preliminary version of a Note to be published in a slightly abbreviated form in C. R. Acad. Sci. Paris, Ser. I, 338 (2004), pp. 975-980 | |
| dc.identifier | https://arxiv.org/abs/math/0407459 | |
| dc.identifier | http://arxiv.org/abs/math/0407459 | |
| dc.identifier | Comptes Rendus de l'Academie des Sciences. Serie 1, Mathematique 338 (2004) pp. 975-980 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72018 | |
| dc.subject | Analysis of PDEs | |
| dc.title | Asymptotic behavior of an elastic beam fixed on a small part of one of its extremities | |
| dc.type | text |