A semi-analytical solution of 3-D transient temperature field for a uniform plate subjected to Gaussian-distribution laser heat source

Abstract

One 3-D transient temperature field model for a thin uniform plate caused by a moving laser heat source is described in present study. The heat source model with a power density in Gaussian-distribution form is considered when a finite-thin uniform plate is heated. By using the separate variable method and the Newton-Cotes method, a semi-analytical solution of 3-D heat conduction equation in the finite field is obtained. Numerical results show that the effect of laser heat source distribution, laser moving speed as well as aspect ratio of the thin uniform plate have great influence on the 3-D distribution of the temperature field.