A mixed beam model with non-uniform warpings derived from the Saint Vennt rod
The beam model takes into account the non-uniform warping effects due to shear and torsion. The model is generated through a mixed formulation with an independent description of displacement and stress fields. Two different descriptions for the stress field are proposed and tested. The model exactly contains the classical Saint Vennt solution. A mixed finite element based on exact shape functions has been used to validate the beam model.
non-uniform warping mixed formulation saint-vennt rod theory