Published Paper

Inserted: 24 jan 2006
Last Updated: 19 oct 2006

Journal: Asymptot. Anal.
Volume: 47
Number: 3,4
Pages: 317-343
Year: 2006

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.

Keywords: dimension reduction, nonlinear elasticity, curved beams

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