The nonlinear bending-torsion theory for curved rods as Gamma-limit of three-dimensional elasticity
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2006-04-12T08:12:57Z
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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.
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Asymptot. Anal. 47 (2006) 317-343