Soret effect on the shock responses of generalized diffusion-thermoelasticity

The in-service environment in most generalized diffusion-thermoelasticity problems is nonisothermal. It is known that Soret effect, i.e., temperature-gradient driven diffusion phenomenon, should be considered in nonuniform temperature field. This provides us a motivation to construct a new model of generalized diffusion-thermoelasticity with Soret effect and investigate the transient shock responses. The governing equations with Soret parameter are obtained in the context of generalized diffusion-thermoelasticity theory. To solve the problem, Laplace transformation techniques are used. For numerical evaluation, a problem of transient response for a slim strip with one end subjecting to thermal and chemical disturbances is studied. Numerical results are obtained and illustrated graphically. Parametric studies are performed to evaluate the influences of Soret parameter on the responses. The results show that Soret effect has significant effects on chemical potential, displacement, stress and concentration.