Analytical solution to transient temperature field in a half-infinite body caused by moving volumetric heat source

In this work, a model of computation of temperature field in a half-infinite body caused by heat source with changeable direction of motion was presented. Analytical temperature field was approximated by straight segments for volumetric heat source with a trajectory considering temperature changes caused by next transitions (increase in temperature connected to action of the heat source and self-cooling of areas heated-up earlier). In that instance computations were carried out for cuboidal elements made of S235 steel for various heat trajectories. The results were presented as temporary and maximum temperature distribution in elements’ surface and in longitudinal sections.