▶ Crystal plasticity calculations of the induced stress/strain fields in the vicinity of TCP-phases. ▶ Influence of TCP-phase on the local γ′ microstructure evolution. ▶ Influence of constitutive equations for TCP-phase. The influence of topologically close packed-phase (TCP-phase) precipitation on the γ/γ′ microstructure evolution of a single crystal superalloy has been studied. Four representative configurations of needle-shaped μ-phase particles observed in the MC2 alloy after creep deformation at 1050°C/160MPa have been selected. Finite element modeling was performed on the selected configurations using a crystal plasticity framework and a viscoplastic approach. The local calculated stress/strain fields in the vicinity of TCP-phase precipitates, especially stress concentration, allow an interpretation of the observed microstructural evolutions (γ′-precipitate orientation and thickness). Moreover, our numerical simulation brings a fruitful contribution to the understanding of the phenomenon often observed beyond needle-like μ-phase: the formation of a distorted γ/γ′ microstructure in lieu of the expected γ/γ′-rafted structure.