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Effect of magnetic field and gravity on thermoelastic fiber-reinforced with memory-dependent derivative

  • Mohamed I.A. Othman (Department of Mathematics, Faculty of Science, Zagazig University) ;
  • Samia M. Said (Department of Mathematics, Faculty of Science, Zagazig University) ;
  • Elsayed M. Abd-Elaziz (Ministry of Higher Education, Zagazig Higher Institute of Engineering & Technology)
  • Received : 2022.01.05
  • Accepted : 2022.10.04
  • Published : 2023.06.25
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Abstract

The purpose of this paper is to study the effects of magnetic field and gravitational field on fiber-reinforced thermoelastic medium with memory-dependent derivative. Three-phase-lag model of thermoelasticity (3PHL) is used to study the plane waves in a fiber-reinforced magneto-thermoelastic material with memory-dependent derivative. A gravitating magneto-thermoelastic two-dimensional substrate is influenced by both thermal shock and mechanical loads at the free surface. Analytical expressions of the considered variables are obtained by using Laplace-Fourier transforms technique with the eigenvalue approach technique. A numerical example is considered to illustrate graphically the effects of the magnetic field, gravitational field and two types of mechanical loads(continuous load and impact load).

Keywords

References

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