A Mathematical Model for the purpose of analysing the Thermal Stress Characteristics Of PKS-Based Brake Pad with MATLAB

Abstract

The automotive brake system has significant requirements to achieve adequate braking power as well as effective heat dissipation. Surface cracks and permanent distortions are a number of unfavorable conditions due to thermal stresses and high temperatures on brake friction surfaces. Contact pressure and temperature on the friction surfaces are often affected by frictional heating, thermal deformation and elastic contact in sliding contact systems. In order to improve the thermal quality of palm kernel shell based brake pads, a mathematical model which can be used to simulate thermal stress behaviour pattern in the brake pads is developed. The developed model is in the form of a partial differential equation with the temperature at a position in the lining varying inversely with the cube root of its distance from the surface where braking force is applied. The said model follows the partial differential equation format usually required for simulation in Matlab environment and can be used to predict the surface temperature, heat flux, planar deformation and shear stress on the brake pad surface during application.