7/2010 - Nonlinear thin-walled beams with a rectangular cross-section - Part I
Lorenzo Freddi, Maria Giovanna Mora, Roberto Paroni
| Titolo | Nonlinear thin-walled beams with a rectangular cross-section - Part I |
|---|---|
| Numero | 7/2010 |
| Sottomesso da | Lorenzo Freddi |
| Sottomesso il | 9/11/2010 |
| Stato | Accepted |
| Autori | Lorenzo Freddi, Maria Giovanna Mora, Roberto Paroni |
| Abstract | Our aim is to rigorously derive a hierarchy of one-dimensional models for thin-walled beams with rectangular cross-section, starting from three-dimensional nonlinear elasticity. The different limit models are distinguished by the different scaling of the elastic energy and of the ratio between the sides of the cross-section. In this paper we report the first part of our results. More precisely, denoting by h and δh the length of the sides of the cross section and by εh the scaling factor of the bulk elastic energy, we analyse the cases in which δh/εh ——> 0 (subcritical) and δh/εh ——> 1 (critical). |
| File | 7-2010-freddi.pdf |