Abstract: A methed utilizing pseudo-stress function to solve torsional problems of prismatic cylinders in the power exponential hardening model is proposed. By the method, the torsional equations of cylinders possessed sections of arbitrary shape or circular sections of variable diameter, could be solved just like that of linear-elastic cylinders, or solved by directly using the elastic solutions which have been known. Examples of an elliptical section shaft and a circular cylinder possessed a globular cavity in the ...