Plastic coupling and stress relaxation during nonproportional axial-shear strain-controlled loading

A nonproportional strain-controlled load path consisting of two segments was applied to the cobalt-based alloy Haynes 188 at 650 °C. The first segment was purely axial, the axial strain was then held constant while the shear strain was increased during the second segment. The alloy exhibited about a 95% reduction in axial stress (298 to 15 MPa) during shear straining. This reduction was due primarily to plastic coupling, but time-dependent stress relaxation also occurred. A rate-independent plasticity model approximated the stress reduction due to plastic coupling reasonably well, but was unable to account for time-dependent stress relaxation. A viscoplasticity model capable of predicting the interaction between stress relaxation and plastic coupling also predicted the plastic coupling reasonably well. The accuracy of the viscoplastic model depends greatly upon the set of material parameters, which is nonunique and must be characterized from a sufficiently large range of load histories.