The transient thermal behavior of conjugated imperfect contact under the effect of the dual-phase-lag heat conduction model is investigated analytically using Laplace transformation technique. The heat transfer mechanisms during rapid heating of two-layer composite slabs from a macroscopic point of view using the dual-phase-lag heat conduction model is studied. The composite slabs consist of two thin layers which may be in imperfect thermal contact. The effects of different parameters, such as thermal relaxation time, and interfacial heat transfer coefficient on the thermal behaviour of the composite slabs are investigated.
