A finite element approach for nonlinear, transient heat conduction problems with convection, radiation or contact boundary conditions

Finite Element Method analysis application in identifying the causes of brake disc failure

“…These phenomena have been very well described and are currently also used to describe thermal phenomena not only in the case of cooperation of friction elements but also to describe processes, e.g. energy industry simulations [10,13,17].…”

“…The Biot number characterizes these properties Bi = α•l/λ m → ∞. Then, the body surface temperature T(x,τ) assumes the temperature of the environment and remains constant throughout the cooling or heating period [1,11,13].…”

“…Boundary conditions of the II type kind occur when the heat flux q on the heat exchange surface is constant or given by the function [12,13]: (2) in this case, the body temperature at the surface is unknown.…”

“…Boundary conditions of the III type kind occur most often in practice, they consist in the fact that the heat flux exchanged on the surface of the body is proportional to the temperature difference; surface of the body and the medium that surrounds the surface [12,13]:…”

“…The material of the friction lining absorbs only a few percent of the heat released. The second method assumes that the heat is distributed to both bodies in proportions equal to their penetration coefficients [13,26].…”