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MiS Preprint
28/2008

Asymptotic models for curved rods derived from nonlinear elasticity by Gamma-convergence

Lucia Scardia

Abstract

We study the problem of the rigorous derivation of one-dimensional models for a thin curved beam starting from three-dimensional nonlinear elasticity. We describe the limiting models obtained for different scalings of the energy. In particular, we prove that the limit functional corresponding to higher scalings coincides with the one derived by dimension reduction starting from linearized elasticity.

Received:
Mar 31, 2008
Published:
Jun 3, 2008
MSC Codes:
74K10, 49J45
Keywords:
dimension reduction, curved beams, nonlinear elasticity

Related publications

inJournal
2009 Repository Open Access
Lucia Scardia

Asymptotic models for curved rods derived from nonlinear elasticity by \(\Gamma\)-convergence

In: Proceedings of the Royal Society of Edinburgh / A, 139 (2009) 5, pp. 1037-1070