Inserted: 24 jan 2007
Last Updated: 1 apr 2014
Journal: Proc. Roy. Edinb. Soc. A
We study the problem of the rigorous derivation of one-dimensional models for a thin curved beam starting from three-dimensional nonlinear elasticity. We describe the limiting models obtained for different scalings of the energy. In particular, we prove that the limit functional corresponding to higher scalings coincides with the one derived by dimension reduction starting from linearized elasticity.
Keywords: dimension reduction, nonlinear elasticity, curved beams