Inserted: 24 jan 2006
Last Updated: 19 oct 2006
Journal: Asymptot. Anal.
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.
Keywords: dimension reduction, nonlinear elasticity, curved beams