You might check NEMA, manufacturer's websites or other organizations for a definitions. Reliance lists a number of enclosures that are totally enclosed:
TEAO - Totally-Enclosed, Air-Over
TEBC - Totally-Enclosed, Blower-Cooled
TECACA - Totally-Enclosed, Closed Circuit,, Air to Air
TEDC-A/A - Totally-Enclosed, Dual Cooled, Air to Air
TEDC-A/W - Totally-Enclosed, Dual Cooled, Air to Water
TEFC - Totally-Enclosed, Fan-Cooled
TENV - Totally-Enclosed Non-Ventilated
TETC - Totally-Enclosed, Tube Cooled
TEWAC - Totally-Enclosed, Water/Air Cooled
TEXP - Totally-Enclosed, Explosion-Proof
Boncuk's descriptions are correct. This information suggests that there are many types of totally enclosed motors - that may or may not be of help to you. I was not sure why you needed the information. Sometimes the people who use a term actually mean something very specific - TEFC is Totally Enclosed Fan Cooled and is very common so that people say "totally enclosed" when they mean TEFC - but they might also mean some other variant of totally enclosed motor.