This paper aims to determine the effect of contact geometry on temperature distribution and thermal buckling in an in-wheel brake system. Numerical analysis is conducted to investigate the variation of temperature field distribution on the brake disc a different cover angles of the pad while maintaining the same moment of friction. Also, different positions of the pads on the disc are considered. To verify the simulation results, an analytical solution is derived. The results show that, for the same work done by the pads on the disc, the resulting temperature field distributions have various effects on the disc. Moreover, certain contact geometry was found to cause the braking temperature to exceed the critical temperature, leading to thermal buckling of the disc during braking.