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Mathematical Modeling on Rotational Magneto-Thermoelastic Phenomenon under Gravity and Laser Pulse considering Four Theories

Author

Listed:
  • Hammad Alotaibi
  • S. M. Abo-Dahab
  • E. M. Khalil
  • S. Abdel-Khalek
  • Emad E. Mahmoud
  • M. Higazy
  • Ahmed Mostafa Khalil

Abstract

The aim of this investigation is making mathematical model for the variation in laser pulse, rotational gravity, and magnetic fields on the generalized thermoelastic homogeneous isotropic half-space. The governing dynamical system equations have been formulated considering the four thermoelastic models: coupled (CT) model, Lord and Shulman (LS) model, Green and Lindsay (GL) theory, and Green and Naghdi (GN III) model. Normal mode analysis technique is used to obtain the analytical expressions for the displacement components, temperature, and mechanical and Maxwell’s stresses distribution. The effect of laser pulse, gravity, and magnetic field is studied by numerical examples and displayed graphically. A comparison has been made between the theories as well as the present results and agreement with it as a special case from this study. The results predict the strong effect of magnetic field, laser pulse, and gravity field on the wave propagation phenomenon.

Suggested Citation

  • Hammad Alotaibi & S. M. Abo-Dahab & E. M. Khalil & S. Abdel-Khalek & Emad E. Mahmoud & M. Higazy & Ahmed Mostafa Khalil, 2021. "Mathematical Modeling on Rotational Magneto-Thermoelastic Phenomenon under Gravity and Laser Pulse considering Four Theories," Complexity, Hindawi, vol. 2021, pages 1-15, January.
    • Handle: RePEc:hin:complx:5521684
    DOI: 10.1155/2021/5521684
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