Constitutive modeling for investigating the effects of friction on rheological behavior during hot deformation

• A new constitutive model considering the influence of friction is proposed.
• The proposed model involves dynamic recovery and dynamic recrystallization.
• Exponent relationship between characteristic stress and friction factor is revealed.
• Zener–Hollomon parameter is obtained by strain–stress with no influence of friction.

In order to establish rheological relationship and improve the accuracy of numerical simulations, a mathematical method has been developed to determine flow stress at the hot deformation condition. The proposed constitutive model not only considers work softening behavior induced by dynamic recovery and dynamic recrystallization, but also takes into account the influence of friction. To verify the model, hot compressions experiments under the different conditions of lubrication styles, strain rates and temperatures have been carried out. The calculated stress–strain curves are in good agreement with the experimental results, which confirms the validity of the proposed model.

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