FE fatigue analysis of notched elastic–plastic shaft under multiaxial loading consisting of constant and cyclic components

This paper presents a finite element analysis for a notched shaft subjected to nonproportional synchronous multiaxial loading. A combined tension/torsion is considered. For simplicity, one loading component is kept constant while the other is cyclic. The von Mises (von Mises R. Ges. Wiss. Göttingen, math. phys. K1 1913:582–93) yield criterion in conjunction with the kinematic hardening rule of Prager and Ziegler (Prager W. Proc. Inst. Mech. Engrs 1955;169:41–57; Ziegler H. Quart. Appl. Math. 1959;17:55–60) is applied to describe the elastic–plastic material behavior of the notched shaft. The boundary value problem is solved by using the commercial finite element program system ABAQUS (Theory manual, Version 4.9, 1991; Userʹs manual, Version 4.9, 1991). A parametrical study is carried out and numerical results are presented to show the effects of the magnitude/amplitude ratio and the starting situation on the stabilized stress–strain hysteresis of the cyclic component and the stress–strain relation of the constant component.