Abstract: When Thermal Barrier Coatings (TBCs) is in micro/nano scale, the heat transfers theories in macro scale, Fourier heat equation, cannot be applied. The edge crack diving force (J-integral) is different in the two scales. The temperature fields obtained from the combination of a non-Fourier model and a Fourier model are used in fracture mechanics analysis. The J-integral is analyzed by finite element method. Some TBCs physics parameters (relaxation time, phonon speed) are studied to illustrate the effect to J-integral. The results show that J-integral from a non-Fourier model is lower than that from a Fourier model. The J-integral decreases with the decrease of parameters.