Perturbation series for shear stress in flexure of Saint-Venant Cylinders with Bredt-like sections

Francesco Dell'Isola (1, 2) , Giuseppe C. Ruta (1)

1 Dipartimento di Ingegneria Strutturale e Geotecnica
2 Laboratorio Strutture e Materiali Intelligenti - Fondazione Tullio Levi-Civita

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.

Domaines: Mécanique [physics.med-ph]

Francesco Dell'Isola, Giuseppe C. Ruta. Perturbation series for shear stress in flexure of Saint-Venant Cylinders with Bredt-like sections. Mechanics Research Communications, 1996, pp.8. ⟨hal-00502011⟩