Effect of gravity on generalized thermoelastic diffusion due to laser pulse using dual-phase-lag model. Issue 3 (11th April 2018)

• Record Type: Journal Article
• Authors: Othman, Mohamed I.A.; Eraki, Ebtesam E.M.
• Is Part Of: Multidiscipline modeling in materials and structures. Volume 14:Issue 3(2018)
• Page Start: 457
• Page End: 481
• Publication Date: 2018-04-11
• Subjects: Diffusion -- Gravity -- Laser pulse -- Dual-phase-lag model -- Generalized thermoelasticity; Materials -- Mathematical models -- Periodicals; Engineering -- Mathematical models -- Periodicals; 620.11015118
• DOI: 10.1108/MMMS-08-2017-0087
• Languages: English
• ISSNs: 1573-6105

Abstract

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.