Abstract
Abstract The current work analyzes the transmission behavior of plane harmonic waves in an isotropic medium. The observation is made for homogeneous type solid in the context of generalized dual phase lag model of thermoelasticity. Concept micro-temperature, where the microelements have different temperatures has also been considered. The basic focus of thework is to predict the influence of initially applied magnetic field on plane waves through the elastic solid. We have made an attempt to find exact solution of the problem using an analytical technique of a normal mode analysis method. The theoretical results are obtained for a generalized solid in order to test the numerical calculation of a magnesium crystal. It is found that the magnetic field reduces the strength of the attenuation factor.
Highlights
The current work analyzes the transmission behavior of plane harmonic waves in an isotropic medium
The basic focus of the work is to predict the influence of initially applied magnetic field on plane waves through the elastic solid
We have considered the influence of an initially applied magnetic field on waves generated in an elastic medium because of linear deformation
Summary
Abstract: The current work analyzes the transmission behavior of plane harmonic waves in an isotropic medium. The basic focus of the work is to predict the influence of initially applied magnetic field on plane waves through the elastic solid. Riha [2] extended the work and analyzed heat conduction along with micro-temperature in elastic solids. Iesan and Quintanilla [3] extended the concept-presented by Grot and introduced the theory of thermo-elastic bodies with micro- temperatures, which allows the transmission of thermal waves at finite speed. Parasad et al [12] analyze the propagation of plane waves under thermoelasticity with DPL model. Puri [24] studied the propagation of plane waves in a solid under the influence of an electromagnetic field. We have considered the influence of an initially applied magnetic field on waves generated in an elastic medium because of linear deformation. Results obtained theoretically are computed by using the packages of Matlab and shown graphically
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