Thermoelastic waves in a laminated composite with a second sound effect

The propagation of thermoelastic harmonic waves in bilaminated periodic waveguide is studied in the context of the generalized theory of thermoelasticity. A continuum mixture theory is developed for waves traveling in the direction parallel to the layering. As a result, the problem is transformed into a quasi-one-dimensional one. The resulting approximate expressions are found useful in obtaining a qualitative description of the response. The symmetric mode of an exact solution is used to check the validity of the mixture theory. Quasi-elastic and quasi-thermal modes are investigated for the cases when the thermal relaxation time is either included or neglected.