Predicting the flow behavior of metals under different strain rate and temperature through phenomenological modeling

A phenomenological constitutive model is represented to describe the flow behavior of metals over wide ranges of strain rates and temperatures. The novelties of proposed elasto-plastic model are: (a) precisely can predict yield stress and flow curve shape in various strain rate as both yield stress and back stress are attached with different strain rate dependent functions, (b) ability to calculate the energy absorbed during crash event as it can track stress–strain behavior correctly beyond uniform elongation. Determination of eight material constants for proposed model from experimental data is very simple and straight forward. The model predictions show a very good agreement with experimental results obtained from the literatures for a wide range of strain rates and temperatures for different steels (mild steel ES, DP600 and TRIP700 steels).

► Phenomenological constitutive model for high strain rate and temperature.
► Quasi-static model to describe the both stress–strain behavior in tensile and bulge test.
► Predictive capability of Johnson–Cook, Lin–Wagoner and Khan–Liang model.