In this paper we present an asymptotic analysis of the three-dimensional problem for a thin linearly elastic cantilever Omega_ε = omega_ε × (0, l) with rectangular cross-section omega_ε of sides ε and ε^2, as ε goes to zero. Under suitable assumptions on the given loads, we show that the three-dimensional problem converges in a variational sense to the classical one-dimensional model for extension, flexure and torsion of thin-walled beams.

Thin-walled beams: the case of an open multi-rectangular cross-section / L., Freddi; A., Morassi; Paroni, Roberto. - In: JOURNAL OF ELASTICITY. - ISSN 0374-3535. - 86:(2007), pp. 263-296.

Thin-walled beams: the case of an open multi-rectangular cross-section

PARONI, Roberto
2007-01-01

Abstract

In this paper we present an asymptotic analysis of the three-dimensional problem for a thin linearly elastic cantilever Omega_ε = omega_ε × (0, l) with rectangular cross-section omega_ε of sides ε and ε^2, as ε goes to zero. Under suitable assumptions on the given loads, we show that the three-dimensional problem converges in a variational sense to the classical one-dimensional model for extension, flexure and torsion of thin-walled beams.
2007
Thin-walled beams: the case of an open multi-rectangular cross-section / L., Freddi; A., Morassi; Paroni, Roberto. - In: JOURNAL OF ELASTICITY. - ISSN 0374-3535. - 86:(2007), pp. 263-296.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11388/82846
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact