Actually, the VHB adhesive is available in many products from 3M, not just the ones described in the first part of the document that I attached. They've been available since the 1970s, but I had tried in vain for many years (in the 1990s, early 2000s) to learn the name and a source for these products until finally, in ~2007 I bought a custom accessory grip for a compact camera from the legendary (now retired) Richard Franiec.
The beautiful little CNC machined grip came with a small piece of VHB transfer tape for its attachment, marked with the 3M logo. I contacted Richard, learned the name of the product and then tracked it down to order a roll of the transfer film from a source online. It was very hard to locate at the time (generally, only available in industrial quantities!) but I find some VHB products fairly easily nowadays at my local hardware stores and many sources online. I have several products, some of which are actual foam tape with adhesive on both sides and useful for situations where the contact between surfaces is a bit rough. For bonding two surfaces that are a perfect fit to each other, I believe I use the 0.05 mm transfer tape. I think that is also what I use for attaching rubber armor and the like. It is extremely thin film. The ones called "transfer" tape have that name because they have no tape within them. The adhesive is sandwiched between two peel-away layers. You peel off one side, apply the film to whatever surface, then peel off the other side (leaving behind the adhered adhesive), then align the object to be bonded to the piece with the adhesive on it and put it in place. Take great care to get the alignment perfect on the first try as it isn't easy (or good for the join) to try to reposition!
--AP