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On a magneto‐poro‐thermoelastic medium under the influence of the Seebeck effect
Author(s) -
AbdElaziz Elsayed M.,
Othman Mohamed I.A.
Publication year - 2019
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.3039
Subject(s) - thermoelastic damping , thermoelectric effect , magnetic field , magneto , ohm's law , materials science , condensed matter physics , mechanics , porous medium , ohm , thermal conductivity , porosity , thermal , physics , thermodynamics , power (physics) , composite material , quantum mechanics
Summary In this study, the poro‐thermoelastic problem with the effect of the magnetic field and Seebeck parameter was investigated. Modified Ohm's law that includes effects of the temperature gradient (Seebeck effect) and charge density, as well as generalized Fourier's law with current density, is introduced. We applied normal mode analysis to solve the resulting nondimensional coupled equations and then investigated the effects that nondimensional displacements, temperature distribution, excess pore water pressure, stresses, and induced magnetic field exerted on the poro‐thermoelastic half‐space medium. Numerical analyses are given graphically on the square (2D) and cubic (3D) domains to illustrate the effects of the porosity parameter, magnetic field, and Seebeck parameter on the physical variables.