A robust kinematic hardening rule for cyclic plasticity with ratchetting effects. I: Theoretical formulation (Q1195534)

A robust kinematic hardening rule is proposed, which appropriately blends the deviatoric stress rate rule and the Tseng-Lee rule in order to satisfy both the experimental observations and the nesting of the yield surface to the limit surface. The work presented is confined to the theoretical formulation of kinematic hardening rule with limited correlation to experimental results. A more general expression for the plastic modulus is proposed. An additional parameter \(\zeta\) is introduced that reflects the dependence of the plastic modulus on the angle between the deviatoric stress rate tensor and the direction of the limit backstress relative to the yield backstress.