The problem of heating a non-homogeneous thermoelastic layer induced by absorbing a penetrating laser radiation throughout its volume is solved by employing the dual-phase-lag theory of thermoelasticity. The surfaces of the layer are taken insulated and traction free. Using the Laplace integral transform technique, a solution to the considered problem is obtained. The results presented graphically for the distributions of the upper surface temperature, temperature, displacement, and normal stress.

Generalized thermoelastic functionally graded half space under surface absorption of a laser radiation

In this paper, the thermoelastic response in a generalized thermoelastic half-space induced by absorption of a penetrating pulsed laser radiation inside the medium is studied using the generalized theory with Dual-Phase-Lag (DPL). The surface of the target is considered stresses free and exposed to temperature-dependent heat losses. Laplace integral transform is used analytically for obtaining the general solution, while its inverse is carried out numerically. The copper element is used as an application to compare the predictions induced by volumetric absorption of the Dual-Phase-lag theory with those for Lord–Shulman (LS) and classical coupled (CTE) theories, moreover the response induced by volumetric absorption for (LS) and (CTE) models in this work were compared with those induced by surface absorption in a previous work.