At several suggestions, I've decided my walls will be 1/4" birch plywood as the outside skin with 1x2 framing and EPS insulation, then either 1/4" or 1/8" oak plywood as the inside skin. I'm nearly done with the exterior skins and framing, and am looking ahead to cutting and installing the EPS. Should the EPS be glued to the exterior skin between the frame pieces, or (assuming they fit tightly between the "studs") can they just be sandwiched in place by the interior skin pieces?
-- Chris