The need of a generalised flow curves considering strain (epsilon), strain rate ((epsilon) over dot) and temperature (T) is a primary requirement for material modelling related to several conventional and strategic mechanical processing to meet critical and non-critical engineering applications. The realistic coefficients of flow curves need to be obtained for such model. In the present study a modified Johnson-Cook (JC) material model has been proposed with physical significance. Six constants of this model can be obtained through the regression analysis. When compared to the JC model, proposed model is found to be more reliable for Al-2024 alloy.