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Advances in Materials Research
  Volume 12, Number 2, June 2023 , pages 101-118

Effect of magnetic field and gravity on thermoelastic fiber-reinforced with memory-dependent derivative
Mohamed I.A. Othman, Samia M. Said and Elsayed M. Abd-Elaziz

    The purpose of this paper is to study the effects of magnetic field and gravitational field on fiberreinforced 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 memorydependent 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).
Key Words
    fiber-reinforced thermoelastic; gravity; magnetic field; memory-dependent derivative; threephase-lag model
Mohamed I.A. Othman, Samia M. Said: Department of Mathematics, Faculty of Science, Zagazig University, P.O. Box 44519, Zagazig, Egypt
Elsayed M. Abd-Elaziz: Ministry of Higher Education, Zagazig Higher Institute of Engineering & Technology, Zagazig, Egypt

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