Thermoelastic Interaction in a Three-Dimensional Layered Sandwich Structure

The present article investigates the thermoelastic interaction in a three-dimensional homogeneous and isotropic sandwich structure using the dual-phase-lag (DPL) model of generalized thermoelasticity. The incorporated resulting non-dimensional coupled equations are applied to a specific problem in which a sandwich layer of unidentical homogeneous and isotropic substances is subjected to time-dependent thermal loadings; the two outer sides are traction-free. The analytical expressions for the displacement components, stress, temperature, and strain are obtained in the physical domain using the normal mode analysis. The mathematical difficulties in dealing with the hyperbolic heat conduction equation are overcome and the thermophysical quantities of the sandwich structure are depicted graphically. The effect that the two phase lags have on the studied field are highlighted. The results demonstrate the phenomenon of a finite speed of wave propagation in a sandwich structure for each field.

Keywords:

Generalized thermoelasticity , Dual-phase-lag thermoelastic model , Hyperbolic heat conduction , Finite wave speed , Normal mode analysis