Thermal constriction resistance with convective boundary conditions. II. Layered half-space contacts (Q1113740)

[For part I see the summary above (Zbl 0661.73079).] This paper is concerned with the axisymmetric thermal analysis of a contact on a semi-infinite single layer which is perfectly attached to a half-space. The Hankel integral tranform method is employed and convective boundary conditions are imposed on the contact surface. In each case suitable Fourier expansions reduce the problem to the solution of integro-differential equations similar to those studied in Part 1 for half-space contacts. Compact expressions are developed and the variation of thermal constriction resistance is shown in non-dimensional form for a wide range of Biot numbers, layer thickness and thermal conductivity ratios.