[Greenbuilding] Bonding Veneer Plywood to EPS Foam

[conservationarchitect at rockbridge.net]

I am interested in bonding a veneer grade plywood to a 3" or thicker eps 
foam to create a panel that could go to the interior of a conventionally 
wood framed structure, where the stud cavity is left outside the thermal 
envelope to provide a ventilation and drain plain.  The panel could 
primarily be self supporting and could give an attractive finish, depending 
on the plywood panel selected.  By locating to the interior side of the 
structure, we can achieve continuity.

Can people on the list recommend a glue suitable for bonding plywood to foam 
that would not need mechanical fasteners?  In some ways this is similar to a 
structural insualted panel (SIP) or Structural Insulated Sheathing (SIS).

Input appreciated.

Eli