Effect of prior deformation on the subsequent creep and anelastic recovery behaviour of an advanced martensitic steel: Unified constitutive modelling

•A constitutive viscoplastic model is developed for describing the high-temperature deformation behaviour of an advanced martensitic steel.•The model is a variant of the Chaboche model which considers back-stress and drag-stress concepts for representing kinematic and isotropic hardening responses, respectively.•Armstrong-Fredrick type equations, considering the three mechanisms of strain hardening, dynamic softening and static-recovery, are employed for defining the evolutions of the backstress and drag-stress.•The model is able to represent constant-load creep, constant-strain stress relaxation, anelastic recovery and negative creep phenomena.•The model takes into account the effect of prior-loading on the subsequent deformation behaviour of the steel. This paper presents an elastic-viscoplastic constitutive model formulation for the representation of different aspects of high-temperature deformation behaviour of an advanced martensitic steel under various loading conditions. The model is a variant of the well-known Chaboche constitutive model and uses a bi-term power-law equation for describing the stress dependency of the viscoplastic strain rate. Isotropic and kinematic hardening/softening considerations have been incorporated through the employment of drag-stress and back-stress concepts. The evolution equations for drag-stress and back-stress consider contributions from strain hardening, dynamic strain softening, and static recovery. The effectiveness of the model formulation has been examined for the representation of the deformation behaviour of a 10%Cr martensitic steel at 600 °C. It has been demonstrated that the developed model could provide a fairly accurate description for i) constant-load creep, ii) constant-strain stress-relaxation, iii) anelastic recovery, and iv) negative creep behaviour of the alloy. More importantly, evidence on the capability of the model for taking into consideration the effect of prior-loading on the subsequent viscoplastic response has been presented. [Display omitted]