Effect of gravity on generalized thermoelastic diffusion due to laser pulse using dual-phase-lag model

Abstract

Purpose

The purpose of this paper is to obtain a general solution to the field equations of generalized thermo-diffusion in an infinite thermoelastic body under the effect of gravity in the context of the dual-phase-lag (DPL) model. The half space is considered made of an isotropic homogeneous thermoelastic material. The boundary plane surface is heated by a non-Gaussian laser beam.

Design/methodology/approach

An exact solution to the problem is obtained using the normal mode analysis.

Findings

The derived expressions are computed numerically for copper and the results are presented in graphical form.

Originality/value

Comparisons are made with the results predicted by Lord-Shulman theory and DPL model for different values of time and in the presence and absence of gravity as well as diffusion.

Citation

Othman, M.I.A. and Eraki, E.E.M. (2018), "Effect of gravity on generalized thermoelastic diffusion due to laser pulse using dual-phase-lag model", Multidiscipline Modeling in Materials and Structures, Vol. 14 No. 3, pp. 457-481. https://doi.org/10.1108/MMMS-08-2017-0087