Electromagneto-thermoelastic diffusive plane waves in a half-space with variable material properties under fractional order thermoelastic diffusion

Abstract

Present paper aims to investigate a generalized electromagneto-thermoelastic diffusion problem for a half-space with variable properties in the context of the fractional order theory of thermoelastic diffusion. The variable properties are taken as linear functions of the temperature. The half-space is initially placed in an external magnetic field with constant intensity, and subjected to a time-dependent thermal load and a chemical load, respectively. The governing equations of the problem in the fractional order generalized electromagneto-thermoelastic diffusion are formulated. The bounding surface in contact with a permeating substance is prescribed to be traction-free. To solve the problem, normal mode analysis is adopted and the distributions of the non-dimensional temperature, displacement, stress, induced magnetic field, induced electric field, chemical potential and concentration are obtained and represented graphically. The effects of fractional order parameters are evaluated by comparing the results obtained in the presence and absence of fractional order parameters.