A solution of torsional problem by energy method in case of anisotropic cross-section

Pascal Swider (1) , Jérôme Briot (2) , Erik Estivalèzes (1)

1 IMFT - Institut de mécanique des fluides de Toulouse
2 CHU Toulouse - Centre Hospitalier Universitaire de Toulouse

We proposed an original method to investigate the problem of torsion of anisotropic cross-section. We implemented an energy method to calculate the stress function represented by infinite series of trigonometric functions adapted to rectangular cross-section. After validation, we implemented a parametric sensitivity study to investigate the influence of the cross-section aspect ratio and the anisotropy level on the stress function, the strain energy density and the torsion stiffness. The process showed a fast convergence with a very good accuracy. The model showed a potential interest for the experimental identification of anisotropic material properties.

Mots clés: Torsion; Stress function; Energy method; Anisotropic material properties

Domaines: Mécanique [physics.med-ph]

Pascal Swider, Jérôme Briot, Erik Estivalèzes. A solution of torsional problem by energy method in case of anisotropic cross-section. Archive of Applied Mechanics, 2011, 81 (6), pp.801-808. ⟨10.1007/s00419-010-0450-7⟩. ⟨hal-01588079⟩