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.
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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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