Influence of the liquid flow through the solid skeleton on the overall deformation of a material in semi-solid state

International audienceWe have developed an isothermal two-phase finite element code for modelling the behaviour of semi-solid metals during thixoforming [9]. In this code, the description we have adopted is expressed with respect to two independent variables, namely, the particles of the solid skeleton and the time. Our presentation is restricted to a saturated semi-solid medium where there is no phase change. Following the theoretical two-phase framework [10], these hypotheses lead to the following writing of the mass balance equations of the solid phase (s) and the liquid phase (l), respectively [2]