Introduction of a New Approximate Solution to Elastoplastic Torsion of Arbitrary Solid Sections with Variable Yield Stress

In this work, the elastoplastic torsion of solid sections without work hardening with variable yield stress is examined. In similar previous works with constant yield stress assumption, exact numerical or analytical approaches were utilized. In view of the new assumptions, the coupled elastoplastic differential equations were decoupled. In variable yield stress assumption, a yield stress gradient from surface to core is assumed, which is a valid and reasonable assumption in cast and heat treated parts. Thus, in elastoplastic torsion of prismatic bars with the aforementioned yield stress gradient assumption, the above mentioned method was used. To carry out the computations, a new software with coupled programming approach was used. A few examples were run both on our developed software and on an accredited finite element software (ABAQUS). Comparison of the results affirms the benefit of our approach.