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engineering

Effect of Thomson and thermal loading due to laser pulse in a magneto-thermo-elastic porous medium with energy dissipation

ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, Volume 99, No. 8, Article e201900079, Year 2019

The present work attempts to investigate the influence of the Thomson heating and the Fourier's heat conduction, in the presence of a magnetic field, on half-space thermo-electricity solid with voids. The material is heated by a non-Gaussian laser beam with pulse duration of 0.23 ps. The heat conduction equation is affected by the Thomson coefficient. A constant Thomson coefficient, instead of traditionally a constant Seebeck coefficient, was assumed. The charge density of the induced electric current is taken as a function of time. The basic governing equations are modified by using Green–Naghdi theory of type-III. A normal mode method is proposed to analyze the problem and obtain numerical solutions. The results of the physical quantities have been illustrated graphically by a comparison between two values of time, with and without void parameters, as well as with and without Thomson coefficient.
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