Relaxation of compressively strained heteroepitaxial Si0.7Ge0.3 films bonded to high and low viscosity glass compliant layers was investigated. These structures were formed by transferring Si0.7Ge0.3 films to Si substrates covered with thermal SiO2 and borophosphorosilicate glass (BPSG) films. Relaxation was studied through thermal annealing experiments. For the low viscosity BPSG, relaxation was observed near 800 degrees C and was accompanied by buckling of the Si0.7Ge0.3 film. At this temperature, no change in the Si0.7Ge0.3 film bonded to thermal SiO2 was observed, and through this comparison relaxation on BPSG is interpreted as the result of viscous flow of the glass. Finally, film buckling was successfully avoided by patterning the strained films into small areas prior to annealing, and is an indication that film expansion must be considered for elastic strain relaxation on compliant media.