In this paper we present an asymptotic analysis of the three-dimensional problem for a thin linearly elastic cantilever Ωε = ωε × (0, l) with rectangular cross-section ωε of sides ε and ε2, 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 the rectangular cross-section / L., Freddi; A., Morassi; Paroni, Roberto. - In: JOURNAL OF ELASTICITY. - ISSN 0374-3535. - 76:1(2004), pp. 45-66. [10.1007/s10659-004-7193-z]
Thin-walled beams: The case of the rectangular cross-section
PARONI, Roberto
2004-01-01
Abstract
In this paper we present an asymptotic analysis of the three-dimensional problem for a thin linearly elastic cantilever Ωε = ωε × (0, l) with rectangular cross-section ωε of sides ε and ε2, 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.File in questo prodotto:
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