Thin-walled beams: the case of the rectangular cross-section
نویسندگان
چکیده
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 ε 2, as ε goes to zero. Under suitable assumptions on the given loads, we show that the threedimensional problem converges in a variational sense to the classical one-dimensional model for extension, flexure and torsion of thin-walled beams. 2001 AMS Mathematics Classification Numbers: 74K20, 74B10, 49J45
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