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In the present study, the identification of thermodynamic damping is investigated on mass diffusion in the solid body deformation due to the heat emanating from a cavity into the medium. The governing equations have come into the possession of mechanics of continuous medium by employing the D’Alembert’s principle, non-classical heat conduction theory, conservation of energy and the theory of ‘non-Fickian’ mass diffusion. In the framework of spherical symmetry, displacement, radial stresses as well as temperature distributions is distinguished for different measures of time delay. The expression of the field functions are obtained in terms of modified Bessel’s functions in the Laplace transform domain. A compatible form of discretization and numerical computational technique of inverse Laplace transformation is analyzed. In order to estimate the nature of the displacements, stresses and temperature distributions in the physical domain, an efficient approximate numerical inverse Laplace transform technique is adopted. The effect of mass diffusion (MD) on the thermoelastic deformation is analyzed meticulously for the various speed of revolution, diffusive relaxation time, thermal time delay and those are categorically compared with the existing results reported in the literature. Moreover, the present study can be comprehensively applied to the anisotropic medium, with or without energy dissipation.

Computational analysis on the influence of damping in solid body deformation during thermoelastic mass diffusion