By definition, distortion means undesired alterations in workpiece size and shape, which may happen as a side effect at some stage in the manufacturing chain. Assuming that no rate effects occur during the heat treatment, i.e., neglecting transformation induced plasticity, one can tackle this problem mathematically in a hybrid approach. In the first step the optimal microstructure for distortion compensation is computed solving a shape design problem subject to a stationary mechanical equilibrium problem. In the second step an optimal cooling strategy is computed to realize this microstructure. While the latter has been studied extensively, the goal of this presentation is to explain a novel approach to compute an optimal microstructure or better phase mixture to compensate for distortion