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arXiv · 0803.0923

The nonlinear bending-torsion theory for curved rods as Gamma-limit of three-dimensional elasticity

Lucia Scardia
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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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Lucia Scardia. 2008-03-06. The nonlinear bending-torsion theory for curved rods as Gamma-limit of three-dimensional elasticity. https://arxiv.org/abs/0803.0923

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