Abstract: A novel kinematic hardening rule is proposed to improve the predictive capability for cyclic stress-strain hysteresis loops. In the proposed rule, the back stress is decomposed into long, middle and short-range components with each addressing an " A-F"evolution rule consisting of a linear hardening and a dynamic recovery term. For the long and middle-range components, the dynamic recovery coefficients are postulated to be evaluated with deformation to describe the transient Bauschinger effect and each contains a ratchetting coefficient accounting for ratchetting evolution. For the short-range component, the linear hardening and dynamic recovery terms are further divided into two parts respectively, with one part in each activating only when the reverse loading occurs to describe the lower plastic modulus at initial yielding stage during cyclic loading. Under the monotonic loading condition, the proposed rule is integrable and the integration form yields an Arcsinh-function. Besides, the material parameters for the proposed rule related to monotonic loading response, ratchetting behavior and stress-strain hysteresis loops can be determined separately. Finally, incorporating the proposed rule, a cyclic constitutive model is developed in the hypo-elastic finite deformation framework and the predictive capacity for ratchetting behavior and stress-strain hysteresis loops is validated.

Key words: cyclic constitutive model, ratchetting, stress-strain hysteresis loops, large deformation, logarithmic stress rate