Short-pulse laser heating and incorporating thermomechanical coupling: Closed form

A closed-form solution for temperature and stress fieldsis presented for short-pulse laser heatingofsolid substrate. Thermomechanical coupling is incorporated in the governing equation of energy. The temperature, thermal stress, and displacement are non-dimensionalized with the appropriate parameters. The Lie point symmetry method is adopted to solve the governing equationofenergy. It is found that temperature decayis sharp in the region next to the surface where laser heating occurs. Thermal stress is negative at the surface and it decays sharply with increasing distance below the surface, which is more pronounced in the early heating period.