Abstract
The problem of the rigorous derivation of one-dimensional models for nonlinearly elastic curved beams is studied in a variational setting. Considering different scalings of the three-dimensional energy and passing to the limit as the diameter of the beam goes to zero, a nonlinear model for strings and a bending-torsion theory for rods are deduced.
| Original language | English |
|---|---|
| Pages (from-to) | 317-343 |
| Number of pages | 27 |
| Journal | Asymptotic Analysis |
| Volume | 47 |
| Issue number | 3-4 |
| Publication status | Published - 15 May 2006 |
Keywords
- Curved beams
- Dimension reduction
- Nonlinear elasticity
ASJC Scopus subject areas
- Applied Mathematics
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