Heating a 2D Thermoelastic Half-Space Induced by Volumetric Absorption of a Laser Radiation

Ismail M. Tayel
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Ismail M. Tayel: Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Majmaah 11952, Saudi Arabia

Mathematics, 2020, vol. 8, issue 11, 1-21

Abstract: In this work, the generalized theory with dual-phase-lag of thermoelasticity is employed to study the influences induced by absorbing a penetrating laser radiation inside a 2D thermoelastic semi-infinite medium. The medium’s surface is presumed to be exposed to temperature-dependent heat losses and is traction-free. The considered problem is solved using the integral transforms technique by applying the double-transformation Laplace and Hankel. A numerical fashion is applied to obtain the inverse of the Laplace transformation. The results of this problem are presented graphically for some studied fields.

Keywords: generalized thermoelasticity with dual-phase-lag; heat losses; laser radiation; volumetric absorption; thermal stresses; Laplace and Hankel transformation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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