Nonlinear thin-walled beams with a rectangular cross-section - Part II

In this paper we report the second part of our results concerning the rigorous derivation of a hierarchy of one-dimensional models for thin-walled beams with a rectangular cross-section. Denoting by h and delta_h the length of the sides of the cross-section of the beam, we analyse the limit behaviour of a non-linear elastic energy which scales as epsilon_h^2 when epsilon_h/\delta_h tends to 0.