Numerical Solutions of Two-Dimensional Elastic, Plastic Problems by Conformal Mapping and Finite-Difference Method : 3rd Report, Elasto-Plastic Torsion of Circumferentially Grooved Shafts

Abstract

In this report, the problem of elasto-plastic torsion of circumferentially grooved shafts is solved by the same numerical method as presented in the 1st report. The solutions based on both flow and deformation type theories are obtained for the Ramberg-Osgood material. The numerical calculations are carried out for several characteristic parameters of material, then the stress and strain concentration factors, stress distributions, the angle of twist, etc. are presented. The results calculated by the flow theory are experimentally verified, and comparing them with the deformation theory, it is proved that both results coincide fairly well with each other about the angle of twist, but about other quantities, for example, the stress and strain concentration factors, the difference between both results becomes larger as torque increases.