Abstract
Three- and two-dimensional analytical solutions are developed for the temperature due to a moving heat source with a Gaussian type distribution. The thermal stresses in a semi-infinite plane are expressed in terms of Bessel functions and exponential integrals. For nonzero values of r0v/ (2D), a dip is found for the σxx component on the traction-free surface and is due to the changing sign of the temperature gradient. Parametric studies are made for different r0V/ (2D) values.