Solving special class of unidimensional frictional heating problems by the mixed integral Fourier transformation

On the basis of splitting the mixed integral Fourier transformation, a solution is obtained in analytically closed form for unidimensional problems of frictional heating of the material with a linear strength-temperature dependence. As special cases, temperature fields are estimated in the material in impulse and cyclic modes of non-stationary friction heat formation, fundamental parameters of heating mode under investigation, are clarified.