Microstructural study and phenomenological modelling to predict high temperature deformation behaviour of high phosphorus steel

ABSTRACT

Physical simulation of as-extruded Fe-0.05 C-0.13P alloy was conducted on Gleeble® 3800 in the temperature range of 750–1050°C at the intervals of 50°C. Cumulative true strain of 0.7 and rates of strain varying from 0.001 to 10 s⁻¹ was employed to understand the flow behaviour and relate them with their microstructure. Using experimental flow stress, Arrhenius model, Johnson Cook model, and strain compensation Arrhenius model were developed. Average absolute relative errors of Johnson–Cook Model, Arrhenius model, and strain compensation Arrhenius type model are 24.356%, 10.684%, and 9.547%, respectively. Again, relative errors of Johnson–Cook model, Arrhenius model, and strain compensated Arrhenius type model are −19.97% to 33.179%, −10.457% to 18.648%, and −11.2547% to 16.547%, respectively. The results reveal that the projected values of flow stress calculated using strain compensated Arrhenius type model and Arrhenius type model are more close to the experimental values, as compared to that of Johnson–Cook model. Therefore, strain compensated Arrhenius type model can be successfully used to predict the hot deformation behaviour of the alloy.

KEYWORDS:

• High phosphorus steel
• strain compensation
• Arrhenius type constitutive
• Johnson–Cook model
• hot deformation

Disclosure statement

On behalf of all authors, the corresponding author states that there is no conflict of interest.