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3M has a design guide on their website. Tape selection is driven by the two mating materials, temperatures, fluids, and tape thickness. For example VHB sandwiches a foam backer in the middle for a thick stack up.
Try 3M Vehicle Bonding Tape - VHB it comes in different thickness and sizes, but the bonding tape - the red one is very good
..... And is available on the paint department at Home Depot. The tape isn't red, it's dark. The stuff you peel off to get to the adhesive is red. It's the same stuff that holds logos and badges on most cars today.
If you want to double the adhesive strength use some 3M Primer 94 a clear solvent like liquid that dries quickly and can be put on with your fingers or a rag.
You can buy it in tubes on Amazon or eBay
Designer Imagines A Corvette That Looks More Like a Corvette Than the Corvette
Slideshow: A Jaguar designer's personal project imagines what a modern front-engined Corvette might look like if Chevrolet revisited the golden age of the Stingray.