SERIES ON ADVANCES IN MATHEMATICS FOR APPLIED SCIENCES
Abstract
We present an asymptotic analysis of the three-dimensional problem for a thin linearly elastic cantilever Ωε = εω × (0, l) as ε goes to zero. By assuming ω simply connected and under suitable assumptions on the given loads, we show that the 3D problem converges in a variational sense to the classical dimensional models for extension, flexure and torsion of slender rods.
