As shown elsewhere, double-barrier SIS'IS structures (I is the tunnel barri
er, S' is a thin film with T-cS' < T-cS) combine advantages of weak links a
nd tunnel junctions, namely they are intrinsically shunted and have therefo
re non-hysteretic I-V characteristics, while their resistance is controlled
by the tunnel barriers rather than by the interlayer material. Such juncti
ons are thus very promising in RSFQ and programmable voltage standard appli
cations. In the present contribution we develop a microscopic model for sta
tionary supercurrent and I-c/R-N product in SIS'IS junctions in the general
case of an arbitrary T-cS'/ T-cS ratio and arbitrary barriers. In earlier
theoretical papers only a few limited cases were studied. The influence of
interlayer thickness, critical temperature T-cS' and barrier asymmetry on I
-c/R-N is quantitatively studied within this model. The current-phase relat
ion in different parameter ranges and the influence of the electronic mean
free path in the S' interlayer is also discussed. It is shown that data for
Nb/AlOx/Al/AlOx/Nb junctions from different groups are well described by t
he theory.