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Applied Mathematics and Mechanics >

2020 , Vol. 41 >Issue 5: 819 - 832

DOI: https://doi.org/10.1007/s10483-020-2603-9

Articles

Novel model of thermo-magneto-viscoelastic medium with variable thermal conductivity under effect of gravity

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  • 1. Department of Mathematics, Faculty of Science, Zagazig University, Zagazig 44519, Egypt;
    2. Department of Mathematics, Faculty of Science and Arts, Qassim University, Buridah 51931, Al-mithnab, Kingdom of Saudi Arabia

Received date: 2019-10-24

  Revised date: 2020-02-05

  Online published: 2020-04-20

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Abstract

The basic equations for a homogeneous and isotropic thermo-magnetoviscoelastic medium are formulated based on three different theories, i.e., the GreenLindsay (G-L) theory, the coupled (CD) theory, and the Lord-Shulman (L-S) theory. The variable thermal conductivity is considered as a linear function of the temperature. Using suitable non-dimensional variables, these basic equations are solved via the eigenvalue approach. The medium is initially assumed to be stress-free and subject to a thermal shock. The numerical results reveal that the viscosity, the two-temperature parameter, the gravity term, and the magnetic field significantly influence the distribution of the physical quantities of the thermoelastic medium.

Key words： eigenvalue approach; variable thermal conductivity; thermo-viscoelastic; gravity field

Cite this article

S. M. SAID . Novel model of thermo-magneto-viscoelastic medium with variable thermal conductivity under effect of gravity[J]. Applied Mathematics and Mechanics, 2020 , 41(5) : 819 -832 . DOI: 10.1007/s10483-020-2603-9

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