The object of this work is to present a study of the thermomechanical behavior of the automobile disc brake for the prediction of their resistance to fatigue. Then, a study of purely mechanical dry contact between the disc and pads is developed with a good prediction becomes a major stake for the industrialists while modeling the loading and the boundary conditions around the disc.We used the same computer code to visualize displacements,  total deformations in the disc, shear stresses, Von Mises stresses and, the tools of contact pads. We also studied the case of thermoelasticity while interpreting the various exits results during this simulation. ¶¶