Non-steady state heat conduction across an imperfect interface: A dual-reciprocity boundary element approach

The two-dimensional problem of determining the time-dependent temperature in a bimaterial with a homogeneously imperfect interface is considered. A temperature jump which is proportional to the thermal heat flux is assumed across the imperfect interface. Through the use of the corresponding steady-state Green's function for the imperfect interface, a dual-reciprocity boundary element method is derived for the numerical solution of the problem under consideration. To assess the validity and accuracy of the proposed method of solution, some specific problems are solved.