In this paper we present an asymptotic analysis of the three-dimensional problem for a thin linearly elastic cantilever with rectangular cross-section ωε 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-dimensionalmodel for extension, flexure and torsion of thin-walled beams.
Thin-walled beams: the case of the rectangular cross-section
FREDDI, Lorenzo;MORASSI, Antonino;
2004-01-01
Abstract
In this paper we present an asymptotic analysis of the three-dimensional problem for a thin linearly elastic cantilever with rectangular cross-section ωε 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-dimensionalmodel for extension, flexure and torsion of thin-walled beams.File in questo prodotto:
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