Perturbation methods in torsion of thin hollow Saint-Venant cylinders

Francesco Dell'Isola (1, 2) , Luigi Rosa (3)

1 Dipartimento di Ingegneria Strutturale e Geotecnica
2 Laboratorio Strutture e Materiali Intelligenti - Fondazione Tullio Levi-Civita
3 Dipartimento di Scienze Fisiche [Naples]

In this paper we propose a perturbation method for calculating the fields appearing in Saint-Venant torsion theory in terms of a parameter (ε) characterizing the thickness of the cross section (CS) of Saint-Venant cylinders (SVC). We recover all the classical formulas found by Bredt [1] (see also Vlasov, [2]) as terms of first order in ε.

Domaines: Mécanique [physics.med-ph]

Francesco Dell'Isola, Luigi Rosa. Perturbation methods in torsion of thin hollow Saint-Venant cylinders. Mechanics Research Communications, 1996, pp.6. ⟨hal-00502397⟩