Friction brakes are subjected more and more to considerable developments in order to improve their durability, eciency, maintenance costs and their ecological impact(noise pollution, particle emissions,...). One of the key components among all the brake components is the brake pad. The latter is highly heterogeneous and the solicitations applied lead to the formation, between the brake rotor and the brake pad, of interface layer called third body from the wear particles. Due to the lack of appropriate instrumentation and measuring techniques to overcome these issues, numerical modelling appear to be more suitable for braking modelling. braking involve contact between brake disc and brake pad. However for good results, it is important to take into account the multiscale and multi-physic aspects associated with contact. Many models exist in the literature but most of them don't take into account the heterogeneous aspect of the brake pad in their numerical modelling. This paper focuses on the methodology leading to simulate contact for highly heterogeneous material submitted to contact sliding. The strategy consists to enrich the contact stiness in terms of behavior. The non-linear behavior of the contact stiness is obtained using a homogenization method. The signicant advance of this paper lies in the homogenization of a heterogeneous material in the presence of contact. In addition, thanks to the relocation on a microscopic scale, wear is introduced leading to a non-planar surface.
To validate our strategy, the re-localization strategy is compared to a macro model including a heterogenous material. One of the key contribution of the strategy proposed in this work is the reducing of computation time compared to the traditional FEM method. Also, not only the ow debit in the concept of tribological circuit can be considered but also other mechanisms can be introduced such as crack and particle decohesion at the microscale.