One of the critical points of the thermomechanical fatigue design process is the correct description of the cyclic behavior of the material. This work focuses on the material of automotive brake disks, namely, flake graphite cast iron. The specificity of this material is its asymmetric behavior under tensile and compressive loadings, which is due to the shape of graphite that acts as small cracks. Multi-scale models inspired from the literature are first presented. They lead to a good description of the material behavior under cyclic loadings. An elasto-viscoplastic constitutive model is then proposed in a one dimensional setting in order to accurately describe cyclic tests from room temperature up to 600 °C.