A process for producing CMC articles, such as turbine components. The process entails applying a release sheet to a drum and then forming on the drum an impregnated tape that overlies the release sheet. The tape comprises a slurry mixture containing a ceramic precursor material and a unidirectionally-oriented filamentary material that may be wound onto the drum dry or already impregnated with the mixture. A second release sheet may be applied to overlie the tape. Alternatively, the filamentary material may be impregnated with the slurry mixture after it has been wound and removed from the drum. The resulting laminate structure may then be passed through an apparatus that flattens the tape and redistributes the slurry mixture within the tape.