Calculus of Variations and Geometric Measure Theory
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M. G. Mora - S. Müller

Derivation of the nonlinear bending-torsion theory for inextensible rods by Gamma-convergence

created on 05 Dec 2002
modified by mora on 14 Oct 2011

[BibTeX]

Published Paper

Inserted: 5 dec 2002
Last Updated: 14 oct 2011

Journal: Calc. Var. Partial Differential Equations
Volume: 18
Pages: 287-305
Year: 2003

Abstract:

We show that the nonlinear bending-torsion theory for inextensible rods arises as $Gamma$-limit of three-dimensional nonlinear elasticity.

Keywords: Gamma-convergence, dimension reduction, nonlinear elasticity, rods


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