Transient thermo-diffusive responses in a nonlocal elastic sphere due to harmonically varying heat sources

In the present manuscript, a model of thermoelasticity with diffusion considering elastic nonlocality is applied to study transient vibrations in a hollow sphere under the action of harmonically varying heat sources. The inner and outer surfaces of the sphere are kept stress free and free from concentration of diffusion. In addition, the outer surface is considered isothermal and the inner surface of the sphere is subjected to a harmonically varying heat source along the radial direction. Analytical results have been verified through computations with MATLAB computer-based tools. The data generated with the help of numerical simulations have been presented graphically for temperature, dilatation, displacement, chemical potential, radial and the de-hoop stresses with nonlocal/local elastic materials. From the behaviour of the field quantities, it clearly indicates that the variations of the above physical quantities for the GL model is larger in contrast to the LS, CTE and E models of thermoelasticity. The present model may be implemented predominantly in cosmetics industry, navigation, bearings and also for the progress of practical applications in geo-magnetics, optics, acoustics etc.