Heat Conduction In A Layered Structure With An Interface Crack Using The Dual Phase Lag Model

In this paper, the transient heat conduction in a layered composite with an insulated interface crack parallel to the boundaries is investigated by using the dual phase lag (DPL) model. Fourier and Laplace transforms are applied and the mixed boundary value problem for the cracked structure under temperature impact is reduced to solving a singular integral equation. The temperature field in time domain is obtained and the intensity factor of temperature gradient is defined. Numerical studies show that overshoot phenomenon may occur due to the combined effect of the insulated crack and application of the DPL heat conduction model. The thermal conductivity and the phase lag parameters have strong influence on the dynamic intensity factor of temperature gradients. The results obtained by the dual phase lag model can be reduced to that by the hyperbolic model and that by the parabolic model.