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Analytical Solutions of a Two-Dimensional Generalized Thermoelastic Diffusions Problem Due to Laser Pulse

  • Ibrahim A. Abbas
  • Marin Marin
Research Paper

Abstract

In this paper, we apply the generalized thermoelastic theory with mass diffusion to a two-dimensional problem for a half-space. The surface of the half-space is taken to be traction-free and heated by laser pulse. The analytical solution is adopted for the temperature, the displacement components, concentration, the stress components and chemical potential. The nonhomogeneous basic equations have been written in the form of a vector–matrix differential equation, which is then solved using the eigenvalue approach. A comparison is made in the case of the absence and presence of a mass diffusion between the coupled and Lord–Shulman theories. The results obtained are presented graphically for the effects of the laser pulse and the mass diffusion to display the phenomena of physical significance.

Keywords

Laser pulse Lord and Shulman model Thermodiffusion Eigenvalue approach 

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Copyright information

© Shiraz University 2017

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of Science and Arts - KhulaisUniversity of JeddahJeddahSaudi Arabia
  2. 2.Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Department of MathematicsKing Abdulaziz UniversityJeddahSaudi Arabia
  3. 3.Department of Mathematics, Faculty of ScienceSohag UniversitySohâgEgypt
  4. 4.Department of Mathematics and Computer SciencesTransilvania University of BrasovBrasovRomania

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