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.
Keywords: Generalized electromagneto-thermoelastic diffusion, fractional order theory of thermoelastic diffusion, normal mode analysis, diffusion relaxation time, thermal relaxation time
