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

doi:10.1007/s10483-020-2603-9

摘要/Abstract

摘要： 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.

关键词: eigenvalue approach, variable thermal conductivity, thermo-viscoelastic, gravity field

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

中图分类号:

74B10

S. M. SAID. Novel model of thermo-magneto-viscoelastic medium with variable thermal conductivity under effect of gravity[J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(5): 819-832.

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