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Effect of a Magnetic Field on the Propagation of Waves in a Homogeneous Isotropic Thermoelastic Half-Space

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Abstract

The prime objective of the present paper is to analyze the propagation of thermoelastic waves in a homogeneous isotropic elastic semi-infinite space that is exposed to a magnetic field at initial temperature T0 and whose boundary surface is subjected to the moving heat source and load moving with finite velocity. Temperature and stress distribution occurring due to heating or cooling have been determined using certain boundary conditions. Numerical results indicate that the effect of the magnetic field is very pronounced. Comparison is made with the results predicted by the theory of thermoelasticity in the absence of a magnetic field. Apart from geophysical applications, the consequences of the present study offer a better platform to design a surface wave sensor by means of its established results. The obtained results may be also used for acquiring a better performance in surface acoustic wave devices and waveguides.

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Authors and Affiliations

  1. Mathematical Department, Faculty of Science, Sohag University, 82524, Sohag, Egypt

    A. M. Abd-Alla & M. M. Rashid

  2. Mathematical Department, Faculty of Science, South Valley University, Qena, 83523, Egypt

    S. M. Abo-Dahab

  3. Mathematical Department, Faculty of Science, Taif University, Taif, 888, Saudi Arabia

    S. M. Abo-Dahab

  4. Mathematical Department, Faculty of Science, Al-Arish University, North Sinai, Al-Arish, 31111, Egypt

    S. M. Ahmed

Authors
  1. A. M. Abd-Alla
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  2. S. M. Abo-Dahab
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  3. S. M. Ahmed
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  4. M. M. Rashid
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Corresponding author

Correspondence to A. M. Abd-Alla.

Additional information

Russian Text © The Author(s), 2019, published in Fizicheskaya Mezomekhanika, 2019, Vol. 22, No. 1, pp. 81–91.

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Abd-Alla, A.M., Abo-Dahab, S.M., Ahmed, S.M. et al. Effect of a Magnetic Field on the Propagation of Waves in a Homogeneous Isotropic Thermoelastic Half-Space. Phys Mesomech 23, 54–65 (2020). https://doi.org/10.1134/S1029959920010063

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  • DOI: https://doi.org/10.1134/S1029959920010063

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