What was the 'composite design allowables' document? A bit more context might make a difference.
I also have not come across 'unfolding' in any sort of technical sense.
F33t, F33c are the through thickness direct stress directions, F13 is through thickness shear. The 33 and 13 nomenclature probably indicates that the 'F's are 'material' values, so that they are for a laminate with all its plies at 0 degrees (Z and X would usually indicate 'laminate' directions as opposed to material).
F33c is somewhat controversial. If it's for unidirectional plies the failure mechanism is by what I've heard some people call 'log-rolling,' where the fibres can roll over one another as the resin fails. A real laminate (or one made of fabric) is quite a lot stronger than F33c for a UD.
As SW says, F33t is also somewhat controversial. If it's for a laminate failing in 33 tension up due to a corner radius opening up then there is a quarter corner bend test standard. However, it's quite variable in its values and when damage is introduced *very* variable.