Heat conduction across thermal barrier coatings of anisotropic substrates

This article deals with the heat conduction across the interface between a thin isotropic thermal barrier coating and an anisotropic substrate by the boundary element method. To have excellent performance of protection, the settled temperature on the interface is crucial for the design of the thermal barrier coating. The finite element method, although popular for engineering analysis, is not generally an ideal numerical tool for analysis of ultra-thin media. As an effective alternative, the boundary element method may be applied for the analysis. For elements of general high orders, the present work applies a scheme to fully regularize the boundary integrals. At the end, some benchmark examples are investigated as illustrations of the veracity and applicability of the scheme.