An Enhanced Steady-State Constitutive Model for Semi-solid Forming of Al7075 Based on Cross Model

The parameters of the Cross model were determined in a wide range of shear rates close to industrial conditions using rapid compression tests and backward extrusion experiments. The Cross model fitted well with experimental results at low shear rates, but it almost broke down at high shear rates. In this paper, a new steady-state model was proposed for semi-solid forming of Al7075 considering the effects of the yield stress, entrapped liquid, and shear rate using the Cross model. The yield stress of the alloy was estimated in the semi-solid state by extrapolating the viscosity at the least applicable shear rates. The results showed that the new model eliminated the Cross model’s deviations, and it can be used for accurate prediction of the steady-state flow behavior of the semi-solid alloy in a wide range of shear rates.