The classical solution of the temperature development in a sliding sol
id pair treats the thermal conductivity as a non-variant quantity that
is not affected by temperature elevation. This may introduce an erron
eous estimate of the temperature distribution in the contacting pair.
This error may be intensified in the presence of considerable temperat
ure gradients. In this note, we apply the well known Kirchoff transfor
mation to correct the temperature estimates in a practical case of sli
ding friction. Thus, accounting for the point wise variation of the th
ermal conductivity in the contacting pair. We compare temperature esti
mates, obtained by the classical solution, to those obtained by the va
riable conductivity solution. The results indicate that the behavior o
f the thermal conductivity with temperature is influential to the magn
itude of the peak flash temperatures developed at the tip of the conta
ct asperities. (C) 1997 Elsevier Science Ltd.