Thermoelastic Analysis of a Cracked Substrate Bonded to a Coating Using the Hyperbolic Heat Conduction Theory

In this article, the dynamic temperature and thermal stresses around a crack in a substrate bonded to a coating are obtained using the hyperbolic heat conduction theory. Fourier and Laplace transforms are applied and the hyperbolic heat conduction and thermoelastic crack problems are reduced to solving singular integral equations. The overshooting phenomenon is observed and the crack kinking phenomenon under thermal loading is investigated by applying the criterion of maximum hoop stress. Numerical results show that the hyperbolic heat conduction parameters and the geometric size of the composite have significant influence on the dynamic stress field. It seems that high temperature loading on the surface may lead to crack kinking away from the surface and low temperature loading may cause crack kinking toward the coating. Moreover, the hyperbolic heat conduction theory may give more conservative results than that the Fourier heat conduction theory.