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

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

2008-03-06

arxiv.org/abs/0803.0923v1

Asymptot. Anal., 47(3,4), (2006) pp. 317--343

Physics

Mathematical Physics

20 pages

Scientific paper

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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