Thin-walled beams: a derivation of Vlassov theory via Γ-convergence
نویسندگان
چکیده
This paper deals with the asymptotic analysis of the three-dimensional problem for a linearly elastic cantilever having an open crosssection which is the union of rectangles with sides of order ε and ε2, as ε goes to zero. Under suitable assumptions on the given loads and for homogeneous and isotropic material, we show that the threedimensional problem Γ-converges to the classical one-dimensional Vlassov model for thin-walled beams. 2001 AMS Mathematics Classification Numbers: 74K20, 74B10, 49J45
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