The purpose of this paper is to rigorously derive a hierarchy of one-dimensional models for thin-walled beams with rectangular cross-section, starting from three-dimensional nonlinear elasticity. The different limit models are distinguished by the different scaling of the elastic energy and of the ratio between the sides of the cross-section. In this paper we report the first part of our results that concern the subcritical and the critical case.

Nonlinear thin-walled beams with a rectangular cross-section - Part I

Mora, M. G.;
2012-01-01

Abstract

The purpose of this paper is to rigorously derive a hierarchy of one-dimensional models for thin-walled beams with rectangular cross-section, starting from three-dimensional nonlinear elasticity. The different limit models are distinguished by the different scaling of the elastic energy and of the ratio between the sides of the cross-section. In this paper we report the first part of our results that concern the subcritical and the critical case.
2012
The Mathematics category includes resources dealing with mathematics, applied mathematics, statistics and probability.
Esperti anonimi
Inglese
Internazionale
STAMPA
22
1150016 (34 pp)
Gamma-convergence; Dimension reduction; Nonlinear elasticity; Thin-walled cross-section beams
no
3
info:eu-repo/semantics/article
262
Freddi, L.; Mora, M. G.; Paroni, R.
1 Contributo su Rivista::1.1 Articolo in rivista
none
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/363578
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