A new model of microsegregation for macrosegregation computation in multicomponent steels. Part I: theoretical formulation and algorithm

摘要: Abstract The goal of this paper is to present a new microsegregation model for multicomponent steels designed be coupled with macrosegregation code, which takes into account the thermodynamic equilibriums between phases and peritectic transformation. Among great diversity models available in literature, very few can fulfil all these requirements. If it case, some simplifying assumptions must adopted increase time efficiency but often results restriction its validity. In presented paper, numerical approach used solve diffusion equation each phase, implies definition mesh, whose number nodes limited have realistic calculation by resulting micro–macro code. To keep low ensure mass conservation during calculation, an original algorithm stability solution, not trivial problem because sharp solute gradients at δ / γ interface