A model of the strain effect on the transition temperature T-c of supercond
ucting films is presented. Details are given for previously published resul
ts on the thickness dependence of T-c in the (001) La1.85Sr0.15CuO4 films.
A key role is played by the strain resulting From lattice mismatch between
the film and the substrate, which is responsible for the behavior of T-c. C
alculations show that the values of T-c of the films on SrLaAlO4 substrates
under compressive strain are always higher than those on SrTiO3 under tens
ile strain. As the thickness is reduced, the films grown on SrTiO3 substrat
es exhibit a rapid reduction of T-c, whereas the T-c increases on SrLaAlO4
substrates. The theoretical results are in good agreement with experiments.