The influence of two temperature generalized thermoelastic diffusion inside a spherical shell

151 www.erpublication.org  AbstractIn this investigation, the problem of elasto-thermo-diffusion interaction insider a spherical shell is concerned in the context of the mechanism of two temperature generalized thermoelasticity theory. The inner and outer boundaries of the spherical shell are traction free and subjected to heating. The chemical potential is also assumed to be a function of time on the boundary of the shell. The problem is based on the theory of two temperature generalized thermoelastic diffusion with one relaxation time (i.e. two temperature Lord-Shulman (2TLS) model). To obtain the general solution the integral transform technique is used. The solution obtained in the Laplace transform domain by using a direct approach. The inversion of the transformed solution is carried out by applying the method of Bellman. The numerical estimates for the thermophysical medium are obtained for copper material and have been shown graphically. The influence of diffusion on thermoelastic stresses, conductive temperature, thermodynamic temperature, displacement, concentration, chemical potential inside the shell are observed for Lord-Shulman model. The results in the absence of diffusion are also found as a particular case.