A visco–plastic constitutive model incorporated with cyclic hardening for uniaxial/multiaxial ratcheting of SS304 stainless steel at room temperature

Abstract In the framework of unified visco–plastic constitutive theory, the strain-controlled cyclic characteristics and uniaxial/multiaxial ratcheting of cyclically hardening materials, such as SS304 stainless steel, were analyzed and modeled. A constitutive model was developed on the base of Ohno–Wang kinematic hardening model (Int. J. Plast. 9 (1993) 375, 391). In the developed model, the rate dependence of the material was reflected by a viscous term; the steady cyclic flow was reflected by the evolution of kinematic hardening rules with critical state of dynamic recovery developed by Ohno and Wang (Int. J. Plast. 9 (1993) 375, 391); the cyclic hardening was only characterized by the evolution of isotropic hardening and an evolution rule of isotropic hardening with a term of dynamic recovery was used; the effect of loading history on the ratcheting was also considered by introducing a fading memorization function for maximum plastic strain amplitude into the model. Comparing with experimental results of SS304 stainless steel at room temperature, the predicted results of the developed model were proved to be reasonable.

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