Research on temperature field of brake dicks with rough contact surfaces based on Cantor set theory

High heat energy is generated among brake dicks by friction during aircraft braking. The contact surfaces of brake disks are rough rather than flat, causing hot spotting easily. This may accelerate brake wear and fatigue damage and jeopadize the security of airplane landing. This article builds a contact model of brake surfaces with Cantor set theory based on volume conservation, and studies its effect on the thermal physical parameters of brake materials. The temperature field is calculated using the finite element model in polar coordinates. The numerical simulation results by ANSYS are in good agreement with empirical values, and provide evidence for the validity of the model. It is a theoretical support for the study of the temperature field of aircraft brake disks.