Discontinuous finite element method for transient conductive heat transfer in layered media with thermal contact resistance

Laser Thermal Wave Diagnostics of the Thermal Resistance of Soldered and Bonded Joints in Semiconductor Structures

“…The problem of nonstationary thermal diffusion in two or more layer structures in the presence of the interfacial TR has been considered by many authors [ 52 , 53 , 54 , 55 , 56 ]. Usually, the TR of a contact at x = 0 is determined by the relationship where is the temperature difference between contacting objects, is the total TR of the contact, and is the rate of the steady heat transfer between the two surfaces.…”

“…At present, such theoretical 3D models have been developed both for the cases where the intermediate layers are located parallel to the sample surface [ 59 , 60 ] and perpendicular to it [ 58 , 61 ]. Numerical algorithms taking into account the temperature discontinuity induced by the contact TR are also being developed for calculating heat fluxes in multilayer structures [ 56 ]. Theoretical calculations of heat diffusion in a 5-layer model and in a 3-layer model with two complex thermal resistances instead of the 2nd and 4th intermediate layers showed that if the intermediate layer thickness is less than 0.15 of the thermal wave length, then the layer can be replaced by the interfacial TR with an accuracy of less than 1% [ 58 ].…”