The Influence of Varying Thermal Conductivity in Thermoelastic Materials due to a Laser Heat Source with a Timed Pulse

Abstract

This article investigates the impacts of varying thermal conductivity in the semi-infinite medium due to laser heating sources with a timed pulse. The governing formulations are based on a Lord-Shulman (LS) thermoelastic model with one thermal relaxation time under changing thermal conductivity. To study the nonlinear problems and get the governing formulations, the time-domain finite element approach is used. Laplace transforms and the eigenvalues method are used to solve the problem in the linear case implementation. The impacts of varying thermal relaxation time, time duration of a laser pulse and thermal conductivity are investigated. The numerical outcome obtained through the finite element approach are compared with analytical solutions for constant thermal conductivity to validate the precision of the numerical solution. The numerical results of temperature, stress, and displacement variation are presented graphically.