Study of a generalized thermoelastic diffusion bi-layered structures with variable thermal conductivity and mass diffusivity

Physical properties may change with temperature and concentration, especially in high temperature and concentration. In this work, the dynamical treatment of a bi-layered structure is implemented under the generalized thermoelastic diffusion theory. To distinguish from existed works, variable thermal conductivity and mass diffusivity of both media are considered. The model is subjected to a sudden thermal shock and a chemical shock, respectively. An analytical technique based on Laplace transform is adopted. Numerical results are evaluated and represented graphically, from which the effects of thermal conductivity and mass diffusivity of both media on the responses are discussed. And finally, some concluding remarks are summarized, based upon which the structure may be optimized by adopting suitable material parameter in both thermal and diffusive sense.