On generalized waves reflection in a micropolar thermodiffusion elastic half-space under initial stress and electromagnetic field

Abstract

We discuss the reflection waves phenomenon in a generalized thermoelastic micropolar half-space under initial stress, electromagnetic field, and diffusion based on two models: Lord-Shulman (LS) and Dual-Phase-Lag (DPL). The governing equations are formulated by considering new parameters as a constitutive equation, equation of motion, diffusion equation, and micropolar equation in the context of two thermoelastic models. Lame potentials are used to separate the equations to dilatational and shear components. So, the characteristic equation indicates to five reflected waves due to the motion, diffusion, micropolar, and thermoelastic effects. The boundary conditions have been applied concerning the mechanical and maxwell stresses, temperature, diffusion, and micropolar. The reflection coefficients ratios are calculated for the general case in the presence of thermodiffusion and microplarity, and the absence of microplarity of the medium. The effect of the initial stress, relaxation times, electromagnetic field, and angle of incidence on the reflection coefficients for thermal wave incidents are displayed graphically to show the physical meaning of the phenomenon. We compare our results which we obtain by using the external parameters effect with other results. The specific loss of energy has been also computed analytically and presented by graph.