Scardia, Lucia2006-04-122011-09-072006-04-122011-09-072006-04-12Asymptot. Anal. 47 (2006) 317-343https://openscience.sissa.it/handle/1963/1809The 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.259396 bytesapplication/pdfen-USPreprint