Shock induced alpha-epsilon martensitic transition in iron modeled by phase field with reaction pathways

Pressure induced $\alpha$-$\epsilon$ martensitic transition (MT) in iron is known to be very complex due to the interplay of transformation strains and long range stresses induced by the emerging microstructure. We propose a predictive modeling of this MT during shock loading by using the phase field technique with reaction pathway (PFRP), which allows for a precise definition of both elastic energy and crystalline energy along the martensitic reaction path. After a short introduction to PFRP, a discussion about the microstructure obtained during shock and after reversion to alpha phase (just after shock release) will be proposed.