Lots of companies make different grades of double sided tape. Do not use carpet tape unless you want a strong bond. This is the doblesided tape that has fibers running through it and is like a material. You want a paper tape. I usssually get mine at Wally world or Home Depot in the masking tape section. 3M is the product name. When using it to stack pieces it is not necessary to cover the entire piece with it. Just use sparingly and will be easier to get apart.

FWIW, I am with Mick... used to use double sided tape and it ruined one too many projects and now I never use it for scroll saw projects.  I use brads exactly as Mick described when projects are larger than about 8 1/2" x 11" to keep the layers together in the middle... but for that size and smaller, I use packing tape either wrapped around and around or just along the perimeter.  Before taping or nailing brads, I cover the top layer with cheap self-adhesive shelf paper, then I use spray adhesive to mount a copy of the pattern onto that.

 

Spence

If the tape pulls wood off of your project when you pull it apart. Try this next time put the tape on your shirt or pants first, then put it on the project. Because the fuzz on your clothes makes it less sticky.

Just use temporary spray bond and a blank sheet of paper in between stacks and remove with mineral spirits whe done , much cheaper and less time involved in prep. work.

I use double-sided masking tape.  It pulls off rather easily, and I haven't had any problems with pieces breaking off my cuttings.  I do have problems finding the tape though!  I bought a lot when American Science and Surplus had it, but they ran out.  The last time I needed some I bought paper tape from veripack.com, item 124-1p.

Jay P.