Thin-walled beams with a cross-section of arbitrary geometry: derivation of linear theories starting from 3D nonlinear elasticity
| dc.contributor.area | Mathematics | en_US |
| dc.contributor.author | Davoli, Elisa | |
| dc.contributor.department | Functional Analysis and Applications | en_US |
| dc.date.accessioned | 2011-09-28T07:21:28Z | |
| dc.date.available | 2011-09-28T07:21:28Z | |
| dc.date.issued | 2011-06-30 | |
| dc.description.abstract | The subject of this paper is the rigorous derivation of lower dimensional models for a nonlinearly elastic thin-walled beam whose cross-section is given by a thin tubular neighbourhood of a smooth curve. Denoting by h and {\delta}_h, respectively, the diameter and the thickness of the cross-section, we analyse the case where the scaling factor of the elastic energy is of order {\epsilon}_h^2, with {\epsilon}_h/{\delta}_h^2 \rightarrow l \in [0, +\infty). Different linearized models are deduced according to the relative order of magnitude of {\delta}_h with respect to h. | en_US |
| dc.identifier.uri | https://openscience.sissa.it/handle/1963/4286 | |
| dc.language.iso | en | en_US |
| dc.miur.area | -1 | en_US |
| dc.publisher | SISSA | en_US |
| dc.relation.ispartofseries | arXiv:1106.6245v1; | |
| dc.relation.ispartofseries | SISSA;34/2011/M | |
| dc.title | Thin-walled beams with a cross-section of arbitrary geometry: derivation of linear theories starting from 3D nonlinear elasticity | en_US |
| dc.type | Preprint | en_US |
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