Abstract
The aim of this investigation is making mathematical model for the variation in laser pulse, rotational gravity, and magnetic fields on the generalized thermoelastic homogeneous isotropic half-space. The governing dynamical system equations have been formulated considering the four thermoelastic models: coupled (CT) model, Lord and Shulman (LS) model, Green and Lindsay (GL) theory, and Green and Naghdi (GN III) model. Normal mode analysis technique is used to obtain the analytical expressions for the displacement components, temperature, and mechanical and Maxwell’s stresses distribution. The effect of laser pulse, gravity, and magnetic field is studied by numerical examples and displayed graphically. A comparison has been made between the theories as well as the present results and agreement with it as a special case from this study. The results predict the strong effect of magnetic field, laser pulse, and gravity field on the wave propagation phenomenon.
Highlights
In last year, the magnetic field, thermal field, elastic field, and rotation interaction received more attention due to the various applications in astronomy, geophysics, engineering, structures, medicine, etc. e topic of thermoelasticity with magnetic field has received the attention of many researchers because of the applications, especially the practical in labs
We suggest mathematical modeling considering the effect of variation in laser pulse, magnetic field gravity, and rotation on a generalized thermoelastic model in an isotropic homogeneous half-space. e governing dynamical system equations have been formulated considering the four thermoelastic models. e four thermoelastic theories are coupled (CT), Lord and Shulman (LS), Green and Lindsay (GL), and Green and Naghdi (GN III) theories
A comparison has been made between the theories as well as the present results and the previous results concluded by the othersand agreement with it as a special case from this study. e results obtained have a significant rule in engineering, astronomy, aircrafts, dynamical system reactors, and aircrafts
Summary
The magnetic field, thermal field, elastic field, and rotation interaction received more attention due to the various applications in astronomy, geophysics, engineering, structures, medicine, etc. e topic of thermoelasticity with magnetic field has received the attention of many researchers because of the applications, especially the practical in labs. Othman et al [7] investigated the rotation and gravitational effect on the generalized thermoelastic medium in the context of model of a dual-phase lag. E thermal stress and magnetic field effect in thermoelasticity neglecting the dissipation of the energy is pointed out by Abo-Dahab et al [11]. Abo-Dahab et al [15] investigated the two-dimensional magnetic field and rotation in generalized thermoelasticity. Abo-Dahab [17] discussed the generalized magneto-thermoelastic reflection waves under two-temperature, thermal shock, and initial stress. Abo-Dahab et al [21] investigated the problem of magneto-thermoelasticity under influence of laser pulse and gravity field in the context of four theories. We suggest mathematical modeling considering the effect of variation in laser pulse, magnetic field gravity, and rotation on a generalized thermoelastic model in an isotropic homogeneous half-space. A comparison has been made between the theories as well as the present results and the previous results concluded by the othersand agreement with it as a special case from this study. e results obtained have a significant rule in engineering, astronomy, aircrafts, dynamical system reactors, and aircrafts
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