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

Author

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  • Ismail M. Tayel

    (Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Majmaah 11952, Saudi Arabia)

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.

Suggested Citation

  • Ismail M. Tayel, 2020. "Heating a 2D Thermoelastic Half-Space Induced by Volumetric Absorption of a Laser Radiation," Mathematics, MDPI, vol. 8(11), pages 1-21, November.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:11:p:2094-:d:449552
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