Abstract In this paper, the fracture problem of an axisymmetric crack in a functionally graded thermal barrier coating (FGTBC) bonded to a homogeneous substrate is considered. The problem is solved for the laminate that is suddenly heated from the upper surface of the FGTBC. The bottom surface of the homogeneous substrate is maintained at the initial temperature. The crack faces are supposed to be completely insulated. Material properties are assumed to be exponentially dependent on the distance from the interface. By using both the Laplace and Hankel transforms, the thermo-mechanical fracture problem is reduced to a singular integral equation and a system of singular integral equations which are solved numerically. The stress intensity factors of the crack are computed and presented as functions of the normalized time for various values of the nonhomogeneous and geometric parameters.

中文翻译：

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瞬态热载荷作用下，功能梯度热障涂层中的轴对称裂纹与均质弹性基材结合

摘要 在本文中，研究了粘结在均质基底上的功能梯度热障涂层（FGTBC）中轴对称裂纹的断裂问题。从FGTBC的上表面突然加热的层压板解决了该问题。均质基板的底面保持在初始温度。裂纹面应该是完全绝缘的。假设材料属性与与界面的距离呈指数关系。通过使用拉普拉斯和汉克尔变换，热机械断裂问题被简化为一个奇异积分方程和一个数值求解的奇异积分方程组。