Structural Engineering and Mechanics

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A modified couple-stress magneto-thermoelastic solid with microtemperatures and gravity field

  • Samia M. Said (Department of Mathematics, Faculty of Science, Zagazig University) ;
  • Elsayed M. Abd-Elaziz (Ministry of Higher Education, Zagazig Higher Institute of Engineering and Technology) ;
  • Mohamed I.A. Othman (Department of Mathematics, Faculty of Science, Zagazig University)
  • Received : 2022.10.25
  • Accepted : 2023.07.18
  • Published : 2023.09.10
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Abstract

The present study deals with wave propagation in a modified couple-stress generalized thermoelastic solid under the effect of gravity and magnetic field. The problem is solved by a refined microtemperatures multi-phase-lags thermoelastic theory. The Fourier series and Laplace transforms will be used to obtain the general solution for any set of boundary conditions. Some comparisons have been shown in figures to estimate the effects of the gravity field, the magnetic field, and different theories of thermoelasticity in the presence of the hall current effect on all the physical quantities. Some particular cases of special interest have been deduced from the present investigation.

Keywords

References

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