Abstract
In this manuscript, the interface crack problem is investigated for a functionally graded coating-substrate structure under steady heat flux. The general thermal-elastic properties of the functionally graded material (FGM) coating are considered. A piecewise-exponential model (PE model) is developed for the thermal fracture problem. In the PE model, the piecewise-exponential function is used to approach the generally continuous variation of coating’s material properties, including shear modulus, thermal conductivity and thermal expansion coefficient, and then the problem is turned into solving three singular integral equations after a series of mathematical manipulation. The thermal insulation coefficient of the crack is considered, which can indicate the influence of the crack on the heat flux. With the present PE model, the mixed-mode thermal stress intensity factors (TSIFs) are obtained for the crack problem of FGMs with general thermal-elastic property distributions. After analyzing the calculation results, the influences of the thermal-elastic property distributions of the FGM coating and the geometric parameters of the structure on the thermal stresses and the mixed-mode TSIFs are discussed comprehensively. The present study can provide a method for the fracture behavior evaluation and the design of FGM coating-substrate structures.
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