Some analytical solutions for Saint-Venant torsion of non-homogeneous cylindrical bars

István Ecsedi

The Saint-Venant torsion problem of linearly elastic cylindrical bars with solid and hollow cross-section is treated. The shear modulus of the non-homogeneous bar is a given function of the Prandtl's stress function of considered cylindrical bar when its material is homogeneous. The solution of the torsional problem of non-homogeneous bar is expressed in terms of the torsional and Prandtl's stress functions of homogeneous bar having the same cross-section as the non-homogeneous bar.

Mots clés: Saint-Venant torsion; Non-homogeneous; Elastic; Prandtl's stress function

István Ecsedi. Some analytical solutions for Saint-Venant torsion of non-homogeneous cylindrical bars. European Journal of Mechanics - A/Solids, 2010, 28 (5), pp.985. ⟨10.1016/j.euromechsol.2009.03.010⟩. ⟨hal-00634694⟩