CONSTITUTIVE MODELING FOR FLOW STRESS DETERMINATION USING DIMENSIONLESS PROPORTIONALITY RELATIONSHIP

Constitutive modeling containing the relationship between stress, strain, strain rate and temperature is the essential input for understanding the thermo mechanical deformation processing results. In this research article, the dynamics of deformation was studied on the basis of a phenomenological mathematical model. Sustained tuning was earmarked by the dimensionless proportionality relationship as an additional assignment to modeling. Results show a new homeostatic steady stress and strain distribution pattern with respect to the applied strain rate & temperature. The results are compared with Johnson-Cook Model (JC) and found better than it. The driving spur is the intake of hot compression test by hiding the torsion test requirement, thereby creating an additional advantage over JC Model that requires both. It also begs a favor over N.S. Babu Model which requires 48 numbers of constants to predict the flow stress relationship which is 12 times more as compared to present approach.