Thermal Fracture of Functionally Graded Coatings with Systems of Cracks: Application of a Model Based on the Rule of Mixtures

This paper is devoted to the problem of thermal fracture a functionally graded coating (FGC) on homogeneous substrate (H), i.e., FGC/H structures. The structure was subjected thermo-mechanical loadings. Systems interacting cracks were located in FGC. Typical such structures include edge cracks, internal and edge/internal cracks. material properties toughness FGC modeled by formulas based rule mixtures. comprised two constituents, ceramic top metal as substrate, with their volume fractions determined power law function coefficient λ gradation parameter for For this study, method singular integral equations used, solved numerically mechanical quadrature Chebyshev polynomials. Attention mainly paid determination critical loads energy release rates systems FGCs order find ways increase resistance As an illustrative example, system three considered. crack shielding effect demonstrated Additionally, it shown that had great characteristics. Thus, proposed model provided sound basis optimization improve