A pneumatic tire includes a pair of axially spaced apart annular bead structures, a carcass structure wrapped around each bead structure and having a pair of carcass turnups substantially contiguous with the carcass structure from the bead structure to radially outer ends of the pair of carcass turnups, a belt structure disposed radially outward of the carcass structure in a crown area of the pneumatic tire, an overlay structure disposed radially outward of the belt structure, and a component comprising a non-adhesive core cord and a wrap cord encircling the core cord with the wrap cord providing adhesion to a surrounding matrix for the reinforcement cord.