Hmm tricky Q to answer briefly, but a laminated
longbow from your descriptions sounds a slight contradiction in terms. Generally a laminated
longbow would be one main piece of timber (possibly jointed in the middle if necessity dictated) backed with say Hickory or Bamboo, and it wouldn't have
recurve.
Native American flat bows (and many others) often had a bit of
recurve, but these were short bows and the recurve was to help the string angle at full draw (avoids the string pulling off!)
Your description sound more like a recuve with a tapered core and glass fibre lams on back and belly.
Anyhow, generally it's the stave which dictates the bow design.
Flatter limb profiles give less stress on the timber and thus generally less string follow, thus my current work in progress in Beech is a flat bow as Beech isn't a 'good' bow wood, the flat profile will maximise the cast from a relatively poor wood.
Regarding recurve...there are working and non-working recuves. If your design will take a recurve it probably wasn't going to follow the sting.
EG, I made a little Ash flat bow and it followed the string a bit. I steamed in some recurve (just for the fun of trying steaming) It retained some recurve but the overall string follow was about the same....It did look prettier tho'
.
The quality and type of timber dictates whether it will take the classic longbow profile without string follow or compression cracks in the belly.
That's about it for a brief explanation.
I've not built a backed longbow as such, but there is plenty of info out there.
(Terms and conditions apply, I reserve the right to be wrong
)
Give us more info and there will doubtless be more helpful responses.
Del (Sorry if I've got the wrong end of the stick somewhere)