Abstract
The problem of thermal fracture of a structure consisting of a functionally graded coating (FGC) on a homogeneous substrate (FGC/H) subjected to a thermal loading is investigated. The main focus is laid on the application of fracture criteria for an FGC and the determination of critical mechanical and thermal loads. The application of fracture criteria requires knowledge of the fracture toughness near the crack tips. Thus, it is assumed that the fracture toughness of an FGC, as well as other material properties, continuously varies through the thickness of the coating. Besides, having a system of cracks, it is important to determine which crack is most dangerous with respect to possible propagation. The proposed model, combined with a detailed parametric analysis, provides a reliable basis for optimizing FGCs in order to improve the fracture resistance of FGC/homogeneous systems operating under high temperatures. An illustrative example for a real combination of materials (ceramic/metal)/metal is provided, which demonstrates that it is important to consider the variation of fracture toughness in FGCs in determining critical loads at which cracks can lead to complete structural fracture.
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