When calculating for Torque in torsion or for Moment in the case of bending, the concept is usually first introduced with the simplification of the assumption that the stresses and strains are in the elastic region of the material, appended by perfect elasto-plastic assumption of the material. And later for the same calculations in the case of the inelastic torsion the operation was to find the region upto which the material remained elastic and divvy the cross-section into two and calculate separately.
T Total =T Elastic_Region + T Plastic_Region
In the Elastic region the Elastic torsion formula is applicable and for the Plastic region the constant stress is integrated over the whole area of the plastic region. Can we do something similar for the case of inelastic bending too ?