Cyclic Torsion of a Circular Cylinder and Its Residual Stress Distribution

Abstract

The endochronic theory of plasticity is applied to discuss the cyclic full-reversed torsional loading of a solid bar with circular cross section. Numerical techniques are employed to obtain the solution. The parameters of the constitutive equations are determined from the test data of thin-walled specimens. These parameters are then used without alteration to compute stress distributions within the solid specimen. Special attention is given to the residual stress distribution. It is shown that reasonable results are obtained. The relation of torque versus strain at the outermost fiber of the solid specimen provides an ultimate check of the theory as applied to this case.