Thermo-Elastic Half Space Under Illumination of a Laser Beam by Using Lord and Shulman Theory

Abstract

The problem of thermo-elasticity, based on the theory of Lord and Shulman with one relaxation time, is used to solve a two-dimensional boundary value problem for a semi-infinite medium heated by a pulsed laser beam. The surface of the medium is taken as traction free. The general solution is obtained in the Laplace and Hankel transforms domain. Approximate small time analytical solutions to temperature, displacement, and stress are obtained. Results of this problem are presented graphically.

Keywords:

• Convolution theorem
• Generalized thermo-elasticity
• Laser pulse
• Small time approximation