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Structural Engineering and Mechanics
  Volume 74, Number 3, May10 2020 , pages 425-434

The effect of gravity and hydrostatic initial stress with variable thermal conductivity on a magneto-fiber-reinforced
Samia M. Said and Mohamed I. A. Othman

    The present paper is concerned at investigating the effect of hydrostatic initial stress, gravity and magnetic field in fiber-reinforced thermoelastic solid, with variable thermal conductivity. The formulation of the problem applied in the context of the three-phase-lag model, Green-Naghdi theory with energy dissipation, as well as coupled theory. The exact expressions of the considered variables by using state-space approaches are obtained. Comparisons are performed in the absence and presence of the magnetic field as well as gravity. Also, a comparison was made in the three theories in the absence and presence of variable thermal conductivity as well as hydrostatic initial stress. The study finds applications in composite engineering, geology, seismology, control system and acoustics, exploration of valuable materials beneath the earth's surface.
Key Words
    Green-Naghdi theory III; three-phase-lag model; coupled theory; magnetic field; gravity; conductivity; hydrostatic initial stress
Department of Mathematics, Faculty of Science, Zagazig University,P.O. Box 44519, Zagazig, Egypt

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