Contact temperatures and temperature fields of components in relative
sliding motion can be analyzed by Laplace transforms and the method of
Green's functions. For the case of constant and ellipsoidal pressure
distribution the temperatures obtained agree with the results of earli
er work. The solution technique can also be used to solve arbitrary pr
essure distributions, which, coupled with the general normal contact p
roblem, leads to extended solutions. The case of loadings with fluctua
tions due to surface roughness and indents are investigated. It can be
shown that each kind of fluctuation causes a rise of the maximum cont
act temperature. All applications are for wheel-rail systems. The resu
lts are discussed.