Fractal characteristics of the martensitic transformation in a Fe - 29% Ni - 0.16% C alloy

A fractal model of the martensitic transformation (MT) in a Fe-29%Ni-0.16%C alloy is proposed on the basis of metallographic observations. It is an uneven fractal that can better describe the microstructure observed in the experiments. The uneven fractal can be produced by an iterated function system (IFS). The IFS code, consisting of two affine maps, is given to calculate the fractal dimension. Finally, we also propose a partition process to simulate the dynamic process of the MT.