Perturbation series for shear stress in flexure of Saint-Venant Cylinders with Bredt-like sections
Abstract
We study flexure of a Saint-Venant cylinder whose sections are Bredt-like with constant thickness, as defined in [1], [2], [3]. We propose a perturbation series for the shear stress field in terms of a thickness parameter. In torsion, there is a unique stress flow function (named after Pradt) for any regular section ([3], [4], [6], [7]). On the contrary, in flexure of cylinders with bi-connected sections a flow function cannot be uniquely determined. To avoid a gauge choice, we use different perturbation methods for mono and bi-connected sections. In the last case we introduce a perturbation series directly for shear stress and Helmholtz differential operators.
Domains
Mechanics [physics.med-ph]
Origin : Files produced by the author(s)